During its 330 years of history, parametric distributions have been useful for survival and
reliability analyses. In this paper, we comprehensively review the historical backgrounds …

抄録 生存時間解析・信頼性解析は, 患者の生存時間や機器の故障時間など,
ある個体に対して特定の事象が生起するまでの時間に関するデータを扱う, 統計学の一分野である …

This research discusses the estimation of the parameters for Gompertz's law and Makeham's
law using the Maximum Likelihood Estimation method. A numerical approach to estimate the …

Research efforts focused on develo** a better understanding of the evolution of mortality
over time are considered to be of significant interest—not just to the demographers. Mortality …

In the light of Mathematical Statistics, mortality can be expressed with different parameters
through multiparametric prediction models. By Beta Gompertz Generalized Makeham …

Abstract The Gompertz–Makeham (GM) distribution, which is used commonly to represent
lifetimes based on laws of mortality, is one of the most popular choices for mortality modeling …

A novel approach to the construction of absolutely continuous distributions over the unit
interval is proposed. Considering two absolutely continuous random variables with positive …

Research efforts focusing on better understanding and capture of mortality progression over
the time are considered to be of significant interest in the field of demography. On a …

The dynamics of human mortality during lifetime is an issue of great scientific interest for its
demographic and actuarial implications, but also for better understanding this very process …

Beta distribution has been widely used in many scientific areas. It is applied very often and is
known as a probability distribution with wide application in the management of various kinds …