Relationships for moments of the progressively Type-II right censored order statistics from the power Lomax distribution and the associated inference

Q4 Mathematics

Statistics in Transition Pub Date : 2021-12-01 DOI:10.21307/stattrans-2021-045

J. Saran, Narinder Pushkarna, S. Sehgal

引用次数: 0

Abstract

Abstract In this paper, we establish several recurrence relations between single and product moments of progressively Type-II right censored order statistics from the power Lomax distribution. The relations enable the computation of all the single and product moments of progressively Type-II right censored order statistics for all sample sizes n and all censoring schemes (R1, R2,..., Rm), m ≥ n, in a simple recursive manner. The maximum likelihood approach is used for the estimation of the parameters and the reliability characteristic. A Monte Carlo simulation study has been conducted to compare the performance of the estimates for different censoring schemes.

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幂Lomax分布的渐进II型右删失阶统计量矩的关系及其相关推论

摘要在本文中，我们从幂Lomax分布建立了渐进II型右删失阶统计量的单矩和乘积矩之间的几个递推关系。这些关系使得能够以简单的递归方式计算所有样本大小n和所有删失方案（R1，R2，…，Rm），m≥n的渐进II型右删失阶统计量的所有单矩和乘积矩。最大似然法用于参数和可靠性特性的估计。进行了蒙特卡罗模拟研究，以比较不同截尾方案的估计性能。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Statistics in Transition Decision Sciences-Statistics, Probability and Uncertainty

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

9 weeks

期刊介绍： Statistics in Transition (SiT) is an international journal published jointly by the Polish Statistical Association (PTS) and the Central Statistical Office of Poland (CSO/GUS), which sponsors this publication. Launched in 1993, it was issued twice a year until 2006; since then it appears - under a slightly changed title, Statistics in Transition new series - three times a year; and after 2013 as a regular quarterly journal." The journal provides a forum for exchange of ideas and experience amongst members of international community of statisticians, data producers and users, including researchers, teachers, policy makers and the general public. Its initially dominating focus on statistical issues pertinent to transition from centrally planned to a market-oriented economy has gradually been extended to embracing statistical problems related to development and modernization of the system of public (official) statistics, in general.