Duration of Life as a Random Variable A note on Stieltjes integral Models of Distribution Functions F(x) and Force of Mortality μ(x) The Empirical Distribution Function of Duration of Life Deviation of Fn(x) from F(x) as a Random Process Limit of Empirical Process: Brownian Bridge. Distribution of x 2Goodness-of-Fit Statistic Statistical Consequences of What We Have Learned So Far Two-sample problems Testing Parametric Hypotheses. Unexpected Example -- Exponentiality of Durations of Rule of Roman Emperors Durations of rule of Roman emperors Testing exponentiality Chronology of reign of Roman emperors from Kienast (1990) Distributions of Kolmogorov -- Smirnov and w 2statistics from a standard Brownian motion Estimation of the Rate of Mortality Censored Observations. Related Point Processes Kaplan-Meier Estimator (Product-Limit Estimator) for F A note on Wiener stochastic integral Statistical Inference about F , based on the Kaplan-Meier Estimator Testing a simple hypothesis. Testing a parametric hypothesis Two-sample problem for censored observations Why (11.9) is correct? -- Ito integral Life Insurance and Net Premiums Remark on mixtures of distributions More on Net Premiums. Endowments and Annuities Annuities Certain. Some Problems of General Theory Right-Tail Behavior of Fn .
Non-Parametric Confidence Bounds for Expected Remaining Life Asymptotic form of the excess life distribution Recurrence formulae for calculation of non-crossing probabilities Population Dynamics Age structure of a population Bibliography Index ;lt;P>Testing Parametric Hypotheses. Unexpected Example -- Exponentiality of Durations of Rule of Roman Emperors Durations of rule of Roman emperors Testing exponentiality Chronology of reign of Roman emperors from Kienast (1990) Distributions of Kolmogorov -- Smirnov and w 2statistics from a standard Brownian motion Estimation of the Rate of Mortality Censored Observations. Related Point Processes Kaplan-Meier Estimator (Product-Limit Estimator) for F A note on Wiener stochastic integral Statistical Inference about F , based on the Kaplan-Meier Estimator Testing a simple hypothesis. Testing a parametric hypothesis Two-sample problem for censored observations Why (11.9) is correct? -- Ito integral Life Insurance and Net Premiums Remark on mixtures of distributions More on Net Premiums. Endowments and Annuities Annuities Certain. Some Problems of General Theory Right-Tail Behavior of Fn . Non-Parametric Confidence Bounds for Expected Remaining Life Asymptotic form of the excess life distribution Recurrence formulae for calculation of non-crossing probabilities Population Dynamics Age structure of a population Bibliography Index lt;/STRONG>Testing a simple hypothesis.
Testing a parametric hypothesis Two-sample problem for censored observations Why (11.9) is correct? -- Ito integral Life Insurance and Net Premiums Remark on mixtures of distributions More on Net Premiums. Endowments and Annuities Annuities Certain. Some Problems of General Theory Right-Tail Behavior of Fn . Non-Parametric Confidence Bounds for Expected Remaining Life Asymptotic form of the excess life distribution Recurrence formulae for calculation of non-crossing probabilities Population Dynamics Age structure of a population Bibliography Index on Dynamics Age structure of a population Bibliography Index.