Inference for the two-parameter exponential distribution with generalized order statistics

IF 1.4 3区社会学 Q3 DEMOGRAPHY

Mathematical Population Studies Pub Date : 2019-10-30 DOI:10.1080/08898480.2019.1681187

M. E. El-Adll

引用次数: 10

Abstract

ABSTRACT Inferences about estimation and prediction of the two-parameter exponential distribution are based on generalized order statistics. Point and interval estimates are used for scale and location parameters. Unbiased point predictors and reconstructors are based upon pivotal quantities. The mean square error and Pitman’s measure help assess the closeness of estimators and predictors. Point estimators of scale and location parameters and point predictors of future observations are computed in the application of durations until remission of 20 leukemia patients and in the application until failure of air-conditioning systems.

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用广义阶统计量推断双参数指数分布

摘要基于广义阶统计量，推导了双参数指数分布的估计和预测。尺度和位置参数使用点和区间估计。无偏点预测器和重构器基于关键量。均方误差和皮特曼的测量方法有助于评估估计器和预测器的接近程度。尺度和位置参数的点估计量以及未来观察的点预测量在20例白血病患者缓解前的应用时间和在空调系统失效前的应用时间中进行计算。

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

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.