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Lifetime Data: Statistical Models And Methods [Mīkstie vāki]

(Univ Of Pune, India), (Univ Of Pune, India)
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Lifetime Data: Statistical Models And MethodsPalielināt
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Permanent link: https://www.kriso.lv/db/9789812566973.html
This book is meant for postgraduate modules that cover lifetime data in reliability and survival analysis as taught in statistics, engineering statistics and medical statistics courses. It is helpful for researchers who wish to choose appropriate models and methods for analyzing lifetime data. There is an extensive discussion on the concept and role of ageing in choosing appropriate models for lifetime data, with a special emphasis on tests of exponentiality. There are interesting contributions related to the topics of ageing, tests for exponentiality, competing risks and repairable systems. A special feature of this book is that it introduces the public domain R-software and explains how it can be used in computations of methods discussed in the book.

Recenzijas

"One of the main strengths of this book is that it introduces the public domain R software and nicely explains how it can be used in computations of methods presented in the book ... the monograph would be useful to some applied researchers in related fields." Technometrics

Preface v
1. Introduction
1(12)
2. Ageing
13(24)
2.1 Functions Characterizing Life-time Random Variable
13(2)
2.2 Exponential Distribution as the Model for the No-ageing
15(3)
2.3 Positive Ageing
18(5)
2.4 Negative Ageing
23(1)
2.5 Relative Ageing of Two Probability Distributions
24(1)
2.6 Bathtub Failure Rate
25(2)
2.7 System Life-time
27(5)
2.8 IFRA Closure Property
32(1)
2.9 Bounds on the Reliability Function of an IFRA Distribution
33(4)
3. Some Parametric Families of Probability Distributions
37(14)
3.1 Introduction
37(1)
3.2 Weibull Family
37(2)
3.3 Gamma Family
39(1)
3.4 Log-normal Family
40(2)
3.5 Linear Failure Rate Family
42(1)
3.6 Makeham Family
43(1)
3.7 Pareto Family
43(1)
3.8 The Distribution of a Specific Parallel System
44(1)
3.9 Lehmann Families
45(1)
3.10 Choice of the Model
46(1)
3.11 Some Further Properties of the Exponential Distribution
47(4)
4. Parametric Analysis of Survival Data
51(48)
4.1 Introduction
51(1)
4.2 Method of Maximum Likelihood
51(5)
4.3 Parameteric Analysis for Complete Data
56(12)
4.4 Parametric Analysis of Censored Data
68(31)
5. Nonparametric Estimation of the Survival Function
99(58)
5.1 Introduction
99(1)
5.2 Uncensored (complete) Data
99(3)
5.3 Censored Data
102(27)
6. Tests for Exponentiality
129(1)
6.1 Introduction
129(1)
6.2 U-Statistics
130(5)
6.3 Tests For Exponentiality
135(22)
7. Two Sample Non-parametric Problem
157(18)
7.1 Introduction
157(1)
7.2 Complete or Uncensored Data
158(2)
7.3 Randomly Censored (right) Data
160(15)
8. Proportional Hazards Model: A Method of Regression
175(26)
8.1 Introduction
175(2)
8.2 Complete Data
177(4)
8.3 Censored Data
181(8)
8.4 Test for Constant of Proportionality in PH Model
189(12)
9. Analysis of Competing Risks
201(14)
9.1 Introdcution
201(1)
9.2 The Model for General Competing Risks
202(1)
9.3 Independent Competing Risks
203(2)
9.4 Bounds on the Joint Survival Function
205(1)
9.5 The Likelihood for Parametric Models with Independent Latent Lifetimes
205(1)
9.6 Tests for Stochastic Dominance of Independent Competing Risks
206(4)
9.7 Tests for Proportionality of Hazard Rates of Independent Competing Risks
210(2)
9.8 Tests in the Context of Dependent Competing Risks
212(3)
10. Repairable Systems 215(12)
10.1 Introduction
215(1)
10.2 Repair Models
216(1)
10.3 Probabilistic Models
216(1)
10.4 Joint Distributions of the Failure Times
217(2)
10.5 Estimation of Parameters
219(2)
10.6 Unconditional Tests for the Time Truncated Case
221(6)
Appendix A Statistical Analyses using R 227(12)
References 239(6)
Index 245