Ordering properties of the smallest and largest lifetimes in Gompertz–Makeham model

DOI10.1080/03610926.2021.1919898OpenAlexW3161568974MaRDI QIDQ5875248

Shovan Chowdhury, Amarjit Kundu, Narayanaswamy Balakrishnan

Publication date: 3 February 2023

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.04171

zbMATH Keywords

usual stochastic orderinghazard rate orderingmultiple-outlier modelGompertz-Makeham distributionageing faster orderingsmallest and largest lifetimes

Mathematics Subject Classification ID

Statistics (62-XX)

Related Items (2)

Ordering properties of the smallest order statistic from Weibull-G random variables ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Ordering properties of order statistics from heterogeneous exponentiated Weibull models
• Ordering properties of order statistics from random variables of Archimedean copulas with applications
• On the convex transform and right-spread orders of smallest claim amounts
• New results on comparisons of parallel systems with heterogeneous gamma components
• An introduction to copulas.
• Multivariate Archimedean copulas, \(d\)-monotone functions and \(\ell _{1}\)-norm symmetric distributions
• Stochastic orders
• Evaluating the performance of Gompertz, Makeham and Lee-Carter mortality models for risk management with unit-linked contracts
• Stochastic comparisons of parallel systems of heterogeneous exponential components
• Stochastic comparison of parallel systems with log-Lindley distributed components
• Stochastic comparison of lifetimes of two \((n - k + 1)\)-out-of-\(n\) systems with heterogeneous dependent components
• On stochastic comparisons of series systems with heterogeneous dependent and independent location-scale family distributed components
• On usual multivariate stochastic ordering of order statistics from heterogeneous beta variables
• A handbook of parametric survival models for actuarial use
• STOCHASTIC COMPARISONS OF LARGEST ORDER STATISTICS FROM MULTIPLE-OUTLIER EXPONENTIAL MODELS
• Ordering results for the smallest and largest order statistics from independent heterogeneous exponential–Weibull random variables
• Comparisons of series and parallel systems with components sharing the same copula
• Some results on the relative ageing of two life distributions
• Ordering properties of the smallest and largest claim amounts in a general scale model
• Ordering the largest claim amounts and ranges from two sets of heterogeneous portfolios
• Ordering properties of sample minimum from Kumaraswamy-G random variables
• Ordering properties of the largest order statistics from Kumaraswamy-G models under random shocks
• Ordering results of extreme order statistics from heterogeneous Gompertz–Makeham random variables
• Stochastic Order Relations Among Parallel Systems from Weibull Distributions
• On the Skewness of Order Statistics in Multiple-Outlier Models
• Mortality modeling using probability distributions. APPLICATION in greek mortality data
• Inequalities: theory of majorization and its applications
• Some results on majorization and their applications

This page was built for publication: Ordering properties of the smallest and largest lifetimes in Gompertz–Makeham model