Preface |
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1 | (70) |
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2 | (4) |
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6 | (9) |
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Discrete Random Variables |
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7 | (3) |
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Continuous Random Variables |
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10 | (3) |
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13 | (2) |
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15 | (6) |
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Moment Generating Function |
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21 | (3) |
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24 | (2) |
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Conditional Distributions |
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26 | (1) |
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27 | (6) |
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Sampling Distributions and Estimation |
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33 | (5) |
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34 | (2) |
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Percentiles and Prediction Intervals |
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36 | (1) |
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Parameter Interval Estimation |
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37 | (1) |
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Aggregate Sums of Independent Random Variables |
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38 | (4) |
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42 | (2) |
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Approximating Aggregate Sums |
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44 | (7) |
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44 | (3) |
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Haldane Type A Approximation |
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47 | (1) |
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Saddlepoint Approximation |
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48 | (3) |
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Compound Random Variables |
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51 | (5) |
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Expectations of Compound Variables |
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51 | (2) |
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Limiting Distributions for Compound Variables |
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53 | (3) |
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56 | (5) |
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57 | (2) |
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Regression Model Based Inference |
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59 | (2) |
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61 | (10) |
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66 | (5) |
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Financial Computational Models |
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71 | (31) |
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Fixed Financial Rate Models |
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72 | (7) |
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Financial Rate Based Calculations |
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72 | (5) |
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General Period Discrete Rate Models |
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77 | (1) |
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78 | (1) |
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79 | (5) |
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80 | (3) |
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Continuous Annuity Models |
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83 | (1) |
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84 | (18) |
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Discrete Stochastic Rate Model |
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85 | (7) |
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Continuous Stochastic Rate Models |
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92 | (3) |
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Discrete Stochastic Annuity Models |
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95 | (2) |
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Continuous Stochastic Annuity Models |
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97 | (1) |
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98 | (4) |
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Deterministic Status Models |
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102 | (31) |
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103 | (4) |
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Deterministic Loss Models |
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103 | (2) |
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105 | (2) |
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Stochastic Loss Criterion |
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107 | (3) |
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108 | (1) |
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109 | (1) |
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110 | (9) |
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111 | (3) |
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114 | (2) |
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116 | (3) |
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Short Time Period Collective Aggregate Models |
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119 | (7) |
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Fixed Number of Variables |
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119 | (3) |
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Stochastic Number of Variables |
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122 | (2) |
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Aggregate Stop - Loss Insurance and Dividends |
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124 | (2) |
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126 | (7) |
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130 | (3) |
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Future Lifetime Random Variable |
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133 | (39) |
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Continuous Future Lifetime |
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134 | (3) |
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137 | (2) |
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139 | (6) |
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145 | (3) |
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Multiple Future Lifetimes |
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148 | (8) |
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149 | (2) |
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151 | (3) |
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General Contingent Status |
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154 | (2) |
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156 | (1) |
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Multiple Decrement Lifetimes |
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157 | (15) |
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Continuous Multiple Decrements |
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158 | (2) |
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160 | (2) |
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Discrete Multiple Decrements |
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162 | (2) |
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Single Decrement Probabilities |
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164 | (1) |
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Uniformly Distributed Single Decrement Rates |
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165 | (2) |
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Single Decrement Probability Bounds |
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167 | (2) |
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169 | (3) |
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Future Lifetime Models and Tables |
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172 | (34) |
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173 | (4) |
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177 | (3) |
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Estimated Life Models and Tables |
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180 | (4) |
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Life Models and Life Table Parameters |
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184 | (7) |
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184 | (4) |
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188 | (2) |
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Fractional Age Adjustments |
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190 | (1) |
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Multiple Life Tables and Parameters |
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191 | (3) |
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Select and Ultimate Life Tables |
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194 | (4) |
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Multiple Decrement Tables |
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198 | (8) |
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Multiple Decrement Life Tables |
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200 | (2) |
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Single Decrement Life Tables |
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202 | (1) |
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203 | (3) |
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206 | (66) |
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Stochastic Present Value Functions |
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207 | (1) |
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208 | (4) |
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Continuous Risk Calculations |
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209 | (1) |
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Discrete Risk Calculations |
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210 | (1) |
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211 | (1) |
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212 | (3) |
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215 | (6) |
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Types of Unit Benefit Life Insurance |
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217 | (4) |
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221 | (8) |
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Types of Unit Payment Life Annuities |
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223 | (4) |
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227 | (2) |
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Relating Risk Calculations |
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229 | (5) |
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Relations Among Insurance Expectations |
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229 | (2) |
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Relations Among Insurance and Annuity Expectations |
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231 | (1) |
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Relations Among Annuity Expectations |
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232 | (2) |
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234 | (2) |
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236 | (5) |
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Unit Benefit Premium Notation |
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239 | (2) |
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241 | (8) |
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Unit Benefit Reserves Notations |
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244 | (2) |
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Relations Among Reserves Calculations |
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246 | (1) |
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Survivorship Group Approach to Reserve Calculations |
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247 | (2) |
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General Time Period Models |
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249 | (5) |
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General Period Expectations |
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250 | (1) |
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Relations Among General Period Expectations |
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251 | (3) |
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Multiple Decrement Computations |
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254 | (2) |
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256 | (9) |
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Multiple Decrement Benefits |
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257 | (2) |
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259 | (2) |
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Future Salary Based Benefits and Contributions |
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261 | (2) |
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Yearly Based Retirement Benefits |
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263 | (2) |
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Models Including Expenses |
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265 | (7) |
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268 | (4) |
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Scenario and Simulation Testing |
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272 | (28) |
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Fixed Rate Deterministic Status Models |
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273 | (3) |
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276 | (6) |
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277 | (2) |
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279 | (3) |
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Simulation Inference on Deterministic Status Models |
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282 | (5) |
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Simulation Inference on Collective Aggregate Models |
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287 | (2) |
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Simulation Inference on Stochastic Status Models |
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289 | (6) |
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Investment Pricing Models |
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291 | (3) |
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Stochastic Surplus Models |
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294 | (1) |
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Further Directions in Resampling |
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295 | (5) |
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297 | (3) |
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Further Statistical Considerations |
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300 | (15) |
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Statistical Investigations |
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301 | (1) |
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Mortality Adjustment Factors |
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302 | (8) |
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Linear Acceleration Factors |
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303 | (2) |
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Mean Acceleration Factors |
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305 | (3) |
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Survival Acceleration Factors |
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308 | (2) |
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310 | (5) |
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312 | (3) |
Appendix: Standard Normal Tables |
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315 | (4) |
References |
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319 | (6) |
Index |
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325 | |