基于广义阶统计量的双参数指数分布应力强度可靠性推断

IF 1.4 3区社会学 Q3 DEMOGRAPHY

Mathematical Population Studies Pub Date : 2021-03-01 DOI:10.1080/08898480.2021.1872230

A. Jafari, S. Bafekri

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引用次数: 4

摘要

应力强度可靠性是衡量两个系统寿命的指标。使用广义阶统计量来推断双参数指数分布，首先不受位置和尺度参数的约束，其次当尺度参数相等时。计算应力强度参数的广义置信区间、bootstrap置信区间、贝叶斯区间和最高后验密度区间。蒙特卡罗模拟表明，广义置信区间提供了更准确的置信区间平均长度和更高的概率来包含参数的真实值。应用：在大多数广义统计模型中，使用两种药物中的一种治疗的20名白血病患者的缓解时间的置信区间大致相同。此外，第一种药物患者的病情缓解时间被测试为比第二种药物患者更短。

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Inference on stress-strength reliability for the two-parameter exponential distribution based on generalized order statistics

ABSTRACT Stress-strength reliability is a measure to compare the lifetimes of two systems. It is inferred for the two-parameter exponential distribution using generalized order statistics first without constraint on the location and scale parameters, second when the scale parameters are equal. A generalized confidence interval, bootstrap confidence intervals, a Bayesian interval, and a highest posterior density interval are computed for the stress-strength parameter. A Monte Carlo simulation shows that generalized confidence intervals provide more accurate average lengths of confidence intervals and higher probabilities to contain the true value of the parameter. Application: Confidence intervals for the time to remission of 20 leukemic patients treated with one of two drugs are approximately the same in most generalized statistical models. In addition, the time to remission for patients with the first drug is tested to be shorter than for patients with the second drug.

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来源期刊

Mathematical Population Studies 数学-数学跨学科应用

CiteScore

3.20

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematical Population Studies publishes carefully selected research papers in the mathematical and statistical study of populations. The journal is strongly interdisciplinary and invites contributions by mathematicians, demographers, (bio)statisticians, sociologists, economists, biologists, epidemiologists, actuaries, geographers, and others who are interested in the mathematical formulation of population-related questions. The scope covers both theoretical and empirical work. Manuscripts should be sent to Manuscript central for review. The editor-in-chief has final say on the suitability for publication.