TY - BOOK AU - Khmaladze,Estate V. AU - Roberts,Leigh AU - Khmaladze,Mzia TI - Statistical methods with applications to demography and life insurance SN - 9781466505735 AV - HG8781 .K43 2013 PY - 2013/// CY - Boca Raton, Fla. PB - CRC Press KW - Actuarial science KW - Demography KW - Mathematical models N1 - Includes bibliographical references and index; 1. Duration of life as a random variable -- 2. Models of distribution functions F(x) and force of mortality u(x) -- 3. The empirical distribution function of duration of life -- 4. Deviation of �Fn(x) from F(x) as a random process -- 5. Limit of empirical process : Brownian bridge ; Distribution of x2 goodness of fit statistic -- 6. Statistical consequences of what we have learned so far ; two-sample problems -- 7. Testing parametric hypotheses. Unexpected example - exponentiality of durations of rule of Roman emperors -- 8. Estimation of the rate of mortality -- 9. Censored observations ; Related point processes -- 10. Kaplan-Meier estimator (product-limit estimator) for F -- 11. Statistical inference about F, based on the Kaplan-Meier estimator -- 12. Life insurance and net premiums -- 13. More on net premiums. Endowments and annuities -- 14. Annuities certain ; Some problems of general theory -- 15. Right-tail behavior of �Fn ; Non-parametric confidence bounds for expected remaining life -- 16. Population dynamics; Also available as an electronic resource ER -