Statistical Methods with Applications to Demography and Life Insurance

ISBN-13: 9780367380236 / Angielski / Miękka / 2019 / 242 str.

Estate V. Khmaladze

Opis

Suitable for statisticians, mathematicians, actuaries, and students interested in the problems of insurance and analysis of lifetimes, this book presents contemporary statistical techniques for analyzing life distributions and life insurance problems. It mainly focuses on the analysis of an individual life and describes statistical methods based on empirical and related processes. The text not only contains traditional material but also incorporates new problems and techniques not discussed in existing actuarial literature. Coverage ranges from analyzing the tails of distributions of lifetimes to modeling population dynamics with migrations.

Spis treści

Duration of Life as a Random Variable. Models of Distribution Functions F(x) and Force of Mortality μ(x). The Empirical Distribution Function of Duration of Life. Deviation of F_n(x) from F(x) as a Random Process. Limit of Empirical Process: Brownian Bridge. Distribution of x² Goodness-of-Fit Statistic. Statistical Consequences of What We Have Learned So Far. Testing Parametric Hypotheses. Unexpected Example — Exponentiality of Durations of Rule of Roman Emperors. Estimation of the Rate of Mortality. Censored Observations. Related Point Processes. Kaplan-Meier Estimator (Product-Limit Estimator) for F. Statistical Inference about F, based on the Kaplan-Meier Estimator. Life Insurance and Net Premiums. More on Net Premiums. Endowments and Annuities. Annuities Certain. Some Problems of General Theory. Right-Tail Behavior of F_n. Non-Parametric Confidence Bounds for Expected Remaining Life. Population Dynamics. Bibliography. Index.

O autorze

Khmaladze, Estáte V.