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E-grāmata: Risk Assessment and Decision Analysis with Bayesian Networks

4.05/5 (48 ratings by Goodreads)
(School of Electronic Engineering and Computer Science, Queen Mary University of London, UK), (School of Electronic Engineering and Computer Science, Queen Mary University of London, UK)
  • Formāts: 660 pages
  • Izdošanas datums: 03-Sep-2018
  • Izdevniecība: CRC Press
  • Valoda: eng
  • ISBN-13: 9781351978965
  • Formāts - EPUB+DRM
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  • Formāts: 660 pages
  • Izdošanas datums: 03-Sep-2018
  • Izdevniecība: CRC Press
  • Valoda: eng
  • ISBN-13: 9781351978965

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Since the first edition of this book published, Bayesian networks have become even more important for applications in a vast array of fields. This second edition includes new material on influence diagrams, learning from data, value of information, cybersecurity, debunking bad statistics, and much more. Focusing on practical real-world problem-solving and model building, as opposed to algorithms and theory, it explains how to incorporate knowledge with data to develop and use (Bayesian) causal models of risk that provide more powerful insights and better decision making than is possible from purely data-driven solutions.

Features

  • Provides all tools necessary to build and run realistic Bayesian network models
  • Supplies extensive example models based on real risk assessment problems in a wide range of application domains provided; for example, finance, safety, systems reliability, law, forensics, cybersecurity and more
  • Introduces all necessary mathematics, probability, and statistics as needed
  • Establishes the basics of probability, risk, and building and using Bayesian network models, before going into the detailed applications

A dedicated website contains exercises and worked solutions for all chapters along with numerous other resources. The AgenaRisk software contains a model library with executable versions of all of the models in the book. Lecture slides are freely available to accredited academic teachers adopting the book on their course.

Recenzijas

Praise for the first edition:

"By offering many attractive examples of Bayesian networks and by making use of software that allows one to play with the networks, readers will definitely get a feel for what can be done with Bayesian networks. the power and also uniqueness of the book stem from the fact that it is essentially practice oriented, but with a clear aim of equipping the developer of Bayesian networks with a clear understanding of the underlying theory. Anyone involved in everyday decision making looking for a better foundation of what is now mainly based on intuition will learn something from the book." Peter J.F. Lucas, Journal of Statistical Theory and Practice, Vol. 8, March 2014

" very useful to practitioners, professors, students, and anyone interested in understanding the application of Bayesian networks to risk assessment and decision analysis. Having many years of experience in the area, I highly recommend the book." William E. Vesely, International Journal of Performability Engineering, July 2013

"Risk Assessment and Decision Analysis with Bayesian Networks is a brilliant book. Being a non-mathematician, Ive found all of the other books on BNs to be an impenetrable mass of mathematical gobble-de-gook. This, in my view, has slowed the uptake of BNs in many disciplines because people simply cannot understand why you would use them and how you can use them. This book finally makes BNs comprehensible, and I plan to develop a risk assessment course at the University of Queensland using this book as the recommended textbook." Carl Smith, School of Agriculture and Food Sciences, The University of Queensland

" although there have been several excellent books dedicated to Bayesian networks and related methods, these books tend to be aimed at readers who already have a high level of mathematical sophistication . As such they are not accessible to readers who are not already proficient in those subjects. This book is an exciting development because it addresses this problem. it should be understandable by any numerate reader interested in risk assessment and decision making. The book provides sufficient motivation and examples (as well as the mathematics and probability where needed from scratch) to enable readers to understand the core principles and power of Bayesian networks. However, the focus is on ensuring that readers can build practical Bayesian network models readers are provided with a tool that performs the propagation, so they will be able to build their own models to solve real-world risk assessment problems." From the Foreword by Judea Pearl, UCLA Computer Science Department and 2011 Turing Award winner

"Let's be honest, most risk assessment methodologies are guesses, and not very good ones at that. People collect statistics about what they can see and then assume it tells them something about what they can't. The problem is that people assume the world follows nice distributions embedded in the world's fabric and that we simply need a little data to get the parameters right. Fenton and Neil take readers on an excellent journey through a more modern and appropriate way to make sense of uncertainty by leveraging prior beliefs and emerging evidence. Along the way they provide a wakeup call for the classic statistical views of risk and eloquently show the biases, fallacies and misconceptions that exist in such a view, and how dangerous they are for those making decisions. The book is not condescending to those without a mathematical background and is not too simple for those who do. It sets a nice tone which focuses more on how readers should think about risk and uncertainty and then uses a wealth of practical examples to show them how Bayesian methods can deliver powerful insights. After reading this book, you should be in no doubt that not only is it possible to model risk from the perspective of understanding how it behaves, but also that is necessarily the only sensible way to do so if you want to do something useful with your model and make correct decisions from it. Anyone aspiring to work, or already working, in the field of risk is well advised to read this book and put it into practice." Neil Cantle, Milliman

"The lovely thing about Risk Assessment and Decision Analysis with Bayesian Networks is that it holds your hand while it guides you through this maze of statistical fallacies, p-values, randomness and subjectivity, eventually explaining how Bayesian networks work and how they can help to avoid mistakes. There are loads of vivid examples (for instance, one explaining the Monty Hall problem), and it doesnt skim over any of the technical details " Angela Saini (MIT Knight Science Journalism Fellow 2012-2013) on her blog, December 2012

"As computational chip size and product development cycle time approach zero, survival in the software industry becomes predicated on three related capabilities: prediction, diagnosis, and causality. These are the competitive advantages in 21st century software design testing. Fenton and Neil not only make a compelling case for Bayesian inference, but they also meticulously and patiently guide software engineers previously untrained in probability theory toward competence in mathematics. We have been waiting for decades for the last critical component that will make Bayesian a household word in industry: the incredible combination of an accessible software tool and an accompanying and brilliantly written textbook. Now software testers have the math, the algorithms, the tool, and the book. We no longer have any excuses for not dramatically raising our technology game to meet that challenge of continuous testing. Fenton and Neil came to our rescue, and just in the nick of time. Thanks, guys." Michael Corning, Microsoft Corporation

"This is an awesome book on using Bayesian networks for risk assessment and decision analysis. What makes this book so great is both its content and style. Fenton and Neil explain how the Bayesian networks work and how they can be built and applied to solve various decision-making problems in different areas. Even more importantly, the authors very clearly demonstrate motivations and advantages for using Bayesian networks over other modelling techniques. The core ideas are illustrated by lots of examplesfrom toy models to real-world applications. In contrast with many other books, this one is very easy to follow and does not require a strong mathematical or statistical background. I highly recommend this book to all researchers, students and practitioners who would like to go beyond traditional statistics or automated data mining techniques and incorporate expert knowledge in their models." Dr. Lukasz Radlinski, Szczecin University

"It is the first book that takes the art and science of developing Bayesian network models for actual problems as seriously as the underlying mathematics. The reader will obtain a good understanding of the methods as they are introduced through well-motivated and intuitive examples and attractive case studies. The authors do this in such a way that readers with little previous exposure to probability theory and statistics will be able to grasp and appreciate the power of Bayesian networks. While this in itself is already a major achievement, the authors go far beyond this by providing very close and pragmatic links between model building and the required techniques. It, thus, shares insights that are mostly missing from other textbooks, making this book also of interest to advanced readers, lecturers and researchers in the area." Prof.dr. Peter Lucas, Institute for Computing and Information Sciences, Radboud University Nijmegen, and Leiden Institute of Advanced Computer Science, Leiden University

"This book gives a thorough account of Bayesian networks, one of the most widely used frameworks for reasoning with uncertainty, and their application in domains as diverse as system reliability modelling and legal reasoning. The book's central premise is that essentially, all models are wrong, but some are useful (G.E.P. Box), and the book distinguishes itself by focusing on the art of building useful models for risk assessment and decision analysis rather than on delving into mathematical detail of the models that are built. The authors are renowned for their ability to put Bayesian network technology into practical use, and it is therefore no surprise that the book is filled to the brim with motivating and relevant examples. With the accompanying evaluation copy of the excellent AgenaRisk software, readers can easily play around with the examples and gain valuable insights of how the models behave at work. I believe this book should be of interest to practitioners working with risk assessment and decision making and also as a valuable textbook in undergraduate courses on probability and risk." Helge Langseth, Norwegian University of Science and Technology

"Bayesian networks are revolutionizing the way experts assess and manage uncertainty. This is the first book to explain this powerful new tool to a non-specialist audience. It takes us on a compelling journey from the basics of probability to sophisticated networks of system design, finance and crime. This trip is greatly supported by free software, allowing readers to explore and develop Bayesian networks for themselves. The style is accessible and entertaining, without sacrificing conceptual or mathematical rigor. This book is a must-read for anyone wanting to learn about Bayesian networks; it provides the know-how and software so that we can all share this adventure into risk and uncertainty." David Lagnado, Senior Lecturer in Cognitive and Decision Sciences, University College London

"This is the book I have wanted to see for many years. Whilst we are entitled to see appropriate duty of care in any risk management scenario, ill-informed practice is in fact prevalent in industry and society. There is little real excuse for this as classical decision theory has a long established history, and it can now be operationalized in complex scenarios using the Bayesian network technology that is a core theme of this book. The problem has been that most books on Bayesian networks and decision theory focus in depth on the technical foundations, and provide little in the way of practical guidance on how to use the technology to support real-world risk assessment and decision making. In contrast, Norman Fenton and Martin Neil have provided a clearly written and highly readable book that is packed with informative and insightful examples. I had fun reading it, but there is also sufficient technical detail so that one can obtain a deep understanding of the subject from studying the book. It is a joy, and one that I keep dipping back into." Paul Krause, Professor of Software Engineering, University of Surrey

"Given the massive uncertainties managers now need to operate within, this book is both vital and timely. Fenton and Neils explanation of how to create practical models that simulate real-life strategic scenarios gives hard-pressed managers a new tool that they can use to understand potential impacts and opportunities. This book should be required reading for anyone involved in strategy, business planning, or significant decision-making." Rob Wirszycz, Celaton Limited

Foreword xv
Preface xvii
Acknowledgments xix
Authors xxi
Chapter 1 Introduction 1(8)
Chapter 2 Debunking Bad Statistics 9(36)
2.1 Predicting Economic Growth: The Normal Distribution and Its Limitations
9(5)
2.2 Patterns and Randomness: From School League Tables to Siegfried and Roy
14(3)
2.3 Dubious Relationships: Why You Should Be Very Wary of Correlations and Their Significance Values
17(5)
2.4 Spurious Correlations: How You Can Always Find a Silly "Cause" of Exam Success
22(1)
2.5 The Danger of Regression: Looking Back When You Need to Look Forward
23(3)
2.6 The Danger of Averages
26(3)
2.6.1 What Type of Average?
27(1)
2.6.2 When Averages Alone Will Never Be Sufficient for Decision Making
28(1)
2.7 When Simpson's Paradox Becomes More Worrisome
29(1)
2.8 How We Measure Risk Can Dramatically Change Our Perception of Risk
30(4)
2.9 Why Relying on Data Alone Is Insufficient for Risk Assessment
34(2)
2.10 Uncertain Information and Incomplete Information: Do Not Assume They Are Different
36(3)
2.11 Do Not Trust Anybody (Even Experts) to Properly Reason about Probabilities
39(3)
2.12
Chapter Summary
42(1)
Further Reading
42(3)
Chapter 3 The Need for Causal, Explanatory Models in Risk Assessment 45(22)
3.1 Introduction
45(1)
3.2 Are You More Likely to Die in an Automobile Crash When the Weather Is Good Compared to Bad?
45(4)
3.3 When Ideology and Causation Collide
49(2)
3.4 The Limitations of Common Approaches to Risk Assessment
51(5)
3.4.1 Measuring Armageddon and Other Risks
51(2)
3.4.2 Risks and Opportunities
53(1)
3.4.3 Risk Registers and Heat Maps
54(2)
3.5 Thinking about Risk Using Causal Analysis
56(4)
3.6 Applying the Causal Framework to Armageddon
60(3)
3.7 Decisions and Utilities
63(1)
3.8 Summary
64(1)
Further Reading
65(2)
Chapter 4 Measuring Uncertainty: The Inevitability of Subjectivity 67(20)
4.1 Introduction
67(2)
4.2 Experiments, Outcomes, and Events
69(8)
4.2.1 Multiple Experiments
73(1)
4.2.2 Joint Experiments
74(1)
4.2.3 Joint Events and Marginalization
75(2)
4.3 Frequentist versus Subjective View of Uncertainty
77(7)
4.4 Summary
84(1)
Further Reading
85(2)
Chapter 5 The Basics of Probability 87(44)
5.1 Introduction
87(1)
5.2 Some Observations Leading to Axioms and Theorems of Probability
87(12)
5.3 Probability Distributions
99(8)
5.3.1 Probability Distributions with Infinite Outcomes
101(2)
5.3.2 Joint Probability Distributions and Probability of Marginalized Events
103(3)
5.3.3 Dealing with More than Two Variables
106(1)
5.4 Independent Events and Conditional Probability
107(7)
5.5 Binomial Distribution
114(5)
5.6 Using Simple Probability Theory to Solve Earlier Problems and Explain Widespread Misunderstandings
119(9)
5.6.1 The Birthday Problem
119(2)
5.6.2 The Monty Hall Problem
121(2)
5.6.3 When Incredible Events Are Really Mundane
123(4)
5.6.4 When Mundane Events Really Are Quite Incredible
127(1)
5.7 Summary
128(1)
Further Reading
129(2)
Chapter 6 Bayes' Theorem and Conditional Probability 131(24)
6.1 Introduction
131(1)
6.2 All Probabilities Are Conditional
131(3)
6.3 Bayes' Theorem
134(5)
6.4 Using Bayes' Theorem to Debunk Some Probability Fallacies
139(5)
6.4.1 Traditional Statistical Hypothesis Testing
140(2)
6.4.2 The Prosecutor Fallacy Revisited
142(1)
6.4.3 The Defendant's Fallacy
142(1)
6.4.4 Odds Form of Bayes and the Likelihood Ratio
143(1)
6.5 Likelihood Ratio as a Measure of Probative Value of Evidence: Benefits and Dangers
144(8)
6.5.1 The (Only) Natural Definition of Probative Value of Evidence
145(1)
6.5.2 A Measure of Probative Value of Evidence
146(2)
6.5.3 Problem with the LR
148(3)
6.5.4 Calculating the LR When We Know P(HIE) Rather Than P(EIH)
151(1)
6.6 Second-Order Probability
152(2)
6.7 Summary
154(1)
Further Reading
154(1)
Chapter 7 From Bayes' Theorem to Bayesian Networks 155(46)
7.1 Introduction
155(1)
7.2 A Very Simple Risk Assessment Problem
156(2)
7.3 Accounting for Multiple Causes (and Effects)
158(3)
7.4 Using Propagation to Make Special Types of Reasoning Possible
161(2)
7.5 The Crucial Independence Assumptions
163(5)
7.6 Structural Properties of BNs
168(9)
7.6.1 Serial Connection: Causal and Evidential Trails
168(3)
7.6.2 Diverging Connection: Common Cause
171(2)
7.6.3 Converging Connection: Common Effect
173(2)
7.6.4 Determining Whether Any Two Nodes in a BN Are Dependent
175(2)
7.7 Propagation in Bayesian Networks
177(3)
7.8 Steps in Building and Running a BN Model
180(5)
7.8.1 Building a BN Model
180(3)
7.8.2 Running a BN Model
183(1)
7.8.3 Inconsistent Evidence
184(1)
7.9 Using BNs to Explain Apparent Paradoxes
185(9)
7.9.1 Revisiting the Monty Hall Problem
185(5)
7.9.1.1 Simple Solution
185(1)
7.9.1.2 Complex Solution
185(5)
7.9.2 Revisiting Simpson's Paradox
190(3)
7.9.3 Refuting the Assertion "If There Is No Correlation Then There Cannot be Causation"
193(1)
7.10 Modelling Interventions and Counterfactual Reasoning in BNs
194(3)
7.10.1 Interventions
194(1)
7.10.2 Counterfactuals
195(2)
7.11 Summary
197(1)
Further Reading
198(3)
Chapter 8 Defining the Structure of Bayesian Networks 201(46)
8.1 Introduction
201(1)
8.2 Causal Inference and Choosing the Correct Edge Direction
202(2)
8.3 The Idioms
204(16)
8.3.1 The Cause-Consequence Idiom
205(2)
8.3.2 Measurement Idiom
207(7)
8.3.3 Definitional/Synthesis Idiom
214(5)
8.3.3.1 Case 1: Definitional Relationship between Variables
214(1)
8.3.3.2 Case 2: Hierarchical Definitions
215(1)
8.3.3.3 Case 3: Combining Different Nodes Together to Reduce Effects of Combinatorial Explosion ("Divorcing")
216(3)
8.3.4 Induction Idiom
219(1)
8.4 The Problems of Asymmetry and How to Tackle Them
220(13)
8.4.1 Impossible Paths
221(2)
8.4.2 Mutually Exclusive Paths
223(2)
8.4.3 Mutually Exclusive Events and Pathways
225(3)
8.4.4 Taxonomic Classification
228(5)
8.5 Multiobject Bayesian Network Models
233(7)
8.6 The Missing Variable Fallacy
240(4)
8.7 Conclusions
244(1)
Further Reading
245(2)
Chapter 9 Building and Eliciting Node Probability Tables 247(52)
9.1 Introduction
247(1)
9.2 Factorial Growth in the Size of Probability Tables
247(2)
9.3 Labeled Nodes and Comparative Expressions
249(4)
9.4 Boolean Nodes and Functions
253(22)
9.4.1 The Asia Model
254(3)
9.4.2 The OR Function for Boolean Nodes
257(5)
9.4.3 The AND Function for Boolean Nodes
262(3)
9.4.4 M from N Operator
265(1)
9.4.5 NoisyOR Function for Boolean Nodes
265(6)
9.4.6 NoisyAND Function for Boolean Nodes
271(2)
9.4.7 Weighted Averages
273(2)
9.5 Ranked Nodes
275(17)
9.5.1 Background
275(2)
9.5.2 Solution: Ranked Nodes with the TNormal Distribution
277(6)
9.5.3 Alternative Weighted Functions for Ranked Nodes When Weighted Mean Is Insufficient
283(3)
9.5.4 Hints and Tips When Working with Ranked Nodes and NPTs
286(6)
9.5.4.1 Tip 1: Use the Weighted Functions as Far as Possible
286(1)
9.5.4.2 Tip 2: Exploit the Fact That a Ranked Node Parent Has an Underlying Numerical Scale
286(1)
9.5.4.3 Tip 3: Do Not Forget the Importance of the Variance in the TNormal Distribution
287(4)
9.5.4.4 Tip 4: Change the Granularity of a Ranked Scale without Having to Make Any Other Changes
291(1)
9.5.4.5 Tip 5: Do Not Create Large, Deep, Hierarchies Consisting of Rank Nodes
292(1)
9.6 Elicitation
292(4)
9.6.1 Elicitation Protocols and Cognitive Biases
292(3)
9.6.2 Validation and Scoring Rules
295(1)
9.7 Summary
296(1)
Further Reading
297(2)
Chapter 10 Numeric Variables and Continuous Distribution Functions 299(48)
10.1 Introduction
299(1)
10.2 Some Theory on Functions and Continuous Distributions
300(5)
10.3 Static Discretization
305(7)
10.4 Dynamic Discretization
312(4)
10.5 Using Dynamic Discretization
316(17)
10.5.1 Prediction Using Dynamic Discretization
316(3)
10.5.2 Conditioning on Discrete Evidence
319(3)
10.5.3 Parameter Learning (Induction) Using Dynamic Discretization
322(11)
10.5.3.1 Classical versus Bayesian Modeling
322(5)
10.5.3.2 Bayesian Hierarchical Model Using Beta-Binomial
327(6)
10.6 Risk Aggregation, Compound Sum Analysis and the Loss Distribution Approach
333(7)
10.6.1 Aggregating Distributions
333(1)
10.6.2 Calculating a Loss Distribution and Using the Compound Sum Analysis Tool
334(6)
10.7 Tips and Tricks when Using Numeric Nodes
340(4)
10.7.1 Unintentional Negative Values in a Node's State Range
340(2)
10.7.2 Faster Approximation When Doing Prediction
342(1)
10.7.3 Observations with Very Low Probability
343(1)
10.7.4 "Tail Discretisation"
343(1)
10.8 Summary
344(1)
Further Reading
345(2)
Chapter 11 Decision Analysis, Decision Trees, Value of Information Analysis, and Sensitivity Analysis 347(24)
11.1 Introduction
347(2)
11.2 Hybrid Influence Diagrams
349(3)
11.3 Decision Trees
352(2)
11.4 Advanced Hybrid Influence Diagrams
354(7)
11.5 Value of Information Analysis
361(5)
11.6 Sensitivity Analysis
366(2)
11.7 Summary
368(1)
Further Reading
369(2)
Chapter 12 Hypothesis Testing and Confidence Intervals 371(54)
12.1 Introduction
371(1)
12.2 The Fundamentals of Hypothesis Testing
371(11)
12.2.1 Using p-Values and the Classical Approach
372(4)
12.2.2 The Bayesian Approach Avoids p-Values Completely
376(6)
12.3 Testing for Hypothetical Differences
382(13)
12.3.1 General Approach to Testing Differences between Attributes
382(5)
12.3.2 Considering Difference between Distributions Rather Than Difference between Means
387(5)
12.3.3 Bayesian Network Solution to the Problem of Learning Population Mean and Variance from Sample Mean and Variance
392(3)
12.3.4 Summary of the Issues Raised Comparing Classical Statistical Hypothesis Testing and the Bayesian Approach
395(1)
12.4 Bayes Factors and Model Comparison
395(21)
12.4.1 Bayes Factors
396(2)
12.4.2 Model Comparison: Choosing the Best Predictive Model
398(6)
12.4.3 Accommodating Expert Judgments about Hypotheses
404(3)
12.4.4 Distribution Fitting as Hypothesis Testing
407(1)
12.4.5 Bayesian Model Comparison and Complex Causal Hypotheses
408(8)
12.5 Confidence Intervals
416(6)
12.5.1 The Fallacy of Frequentist Confidence Intervals
416(3)
12.5.2 The Bayesian Alternative to Confidence Intervals
419(3)
12.6 Summary
422(1)
Further Reading
423(2)
Chapter 13 Modeling Operational Risk 425(38)
13.1 Introduction
425(1)
13.2 The Swiss Cheese Model for Rare Catastrophic Events
426(3)
13.3 Bow Ties and Hazards
429(1)
13.4 Fault Tree Analysis (FTA)
430(6)
13.5 Event Tree Analysis (ETA)
436(3)
13.6 Soft Systems, Causal Models, and Risk Arguments
439(5)
13.7 KUUUB Factors
444(2)
13.8 Operational Risk in Finance
446(12)
13.8.1 Modeling the Operational Loss Generation Process
447(7)
13.8.2 Scenarios and Stress Testing
454(4)
13.9 Cyber Security Risk Modelling
458(2)
13.10 Summary
460(1)
Further Reading
461(2)
Chapter 14 Systems Reliability Modeling 463(30)
14.1 Introduction
463(1)
14.2 Probability of Failure on Demand for Discrete Use Systems
464(4)
14.3 Time to Failure for Continuous Use Systems
468(3)
14.4 System Failure Diagnosis and Dynamic Bayesian Networks
471(4)
14.5 Dynamic Fault Trees (DFTs)
475(9)
14.6 Software Defect Prediction
484(7)
14.7 Summary
491(1)
Further Reading
492(1)
Chapter 15 The Role of Bayes in Forensic and Legal Evidence Presentation 493(30)
15.1 Introduction
493(1)
15.2 Context and Review of Bayes in Legal Proceedings
494(5)
15.3 Basics of Bayes for Reasoning about Legal Evidence
499(6)
15.4 The Problems with Trying to Avoid Using Prior Probabilities with the Likelihood Ratio
505(2)
15.5 Computing the Likelihood Ratio in Practice: When It Is Easy and When It Requires Full BN Inference
507(6)
15.6 Practical Limitations of the Use of the Likelihood Ratio in Legal Reasoning
513(7)
15.6.1 Exhaustiveness and Mutual Exclusivity of Hypotheses Is Not Always Possible in Practical Likelihood Ratio Uses
514(4)
15.6.2 The Likelihood Ratio for Source-Level Hypotheses May Tell Us Nothing about Activity and Offense-Level Hypotheses
518(1)
15.6.3 Confusion about Likelihood Ratio Being Expressed on a Verbal Scale
519(1)
15.7 Summary
520(1)
Further Reading
520(3)
Chapter 16 Building and Using Bayesian Networks for Legal Reasoning 523(30)
16.1 The Evidence Idiom
523(1)
16.2 The Evidence Accuracy Idiom
524(2)
16.3 Idioms to Deal with the Key Notions of "Opportunity" and "Motive"
526(5)
16.3.1 Opportunity
527(3)
16.3.2 Motive
530(1)
16.4 Idiom for Modeling Dependency between Different Pieces of Evidence
531(3)
16.5 Alibi Evidence Idiom
534(2)
16.6 Explaining Away Idiom
536(3)
16.7 Putting It All Together: Vole Example
539(4)
16.8 Using Bayesian Networks to Expose Further Paradoxes and Fallacies of Legal Reasoning
543(8)
16.8.1 The Conjunction Paradox
543(3)
16.8.2 The Jury Observation Fallacy
546(2)
16.8.3 The Crimewatch UK Fallacy
548(3)
16.9 Summary
551(1)
Further Reading
552(1)
Chapter 17 Learning from Data in Bayesian Networks 553(20)
17.1 Introduction
553(1)
17.2 Learning Discrete Model Tables from Complete Data Sets
554(2)
17.3 Combing Expert Knowledge with Table Learning from Data
556(1)
17.4 Learning Table Values with Missing Data: Expectation Maximization for Discrete Models
556(9)
17.5 Expectation Maximization for Hybrid Models
565(7)
17.6 Summary
572(1)
Further Reading
572(1)
Appendix A: The Basics of Counting 573(8)
Appendix B: The Algebra of Node Probability Tables 581(6)
Appendix C: Junction Tree Algorithm 587(10)
Appendix D: Dynamic Discretization 597(20)
Appendix E: Statistical Distributions 617(12)
Index 629
Norman Fenton is Professor of Risk Information Management in the School of Electronic Engineering and Computer Science at Queen Mary University of London and is also a Director of Agena, a company that specialises in risk management for critical systems. Norman is a mathematician by training who now works on quantitative risk assessment. His experience covers a wide range of application domains such as legal reasoning (he has been an expert witness in major criminal and civil cases), medical analytics, vehicle reliability, embedded software, transport systems, financial services, and football prediction. Norman has a special interest in raising public awareness of the importance of probability theory and Bayesian reasoning in everyday life. Norman has published 7 books and 250 referred articles.

Martin Neil is a Professor in Computer Science and Statistics in the School of Electronic Engineering and Computer Science at Queen Mary, University of London and is also a Director and joint founder and of Agena Ltd, who develop and distribute AgenaRisk, a software product for modeling risk and uncertainty. In addition to working on theoretical and algorithmic foundations, his research covers a wide range of application domains including medical analytics, legal reasoning, embedded software, operational risk in finance, systems and design reliability (including software), project risk, commercial risk, decision support, cost benefit analysis, AI and personalization, machine learning, legal argumentation and cyber security. At Queen Mary he teaches decision and risk analysis. Martin was a fellow at the Newton Institute for Mathematical Sciences, Cambridge University in 2016 and was invited to the Fields Institute for Research in Mathematical Sciences, University of Toronto, Canada in 2010. Martin has published over 100 refereed articles.