Fixed-accuracy confidence interval estimation of P(X < Y) under a geometric-exponential model

被引：0

作者：

Hu, Jun ^{[1
]}

Zhuang, Yan ^{[2
]}

Goldiner, Clara ^{[2
]}

机构：

[1] Oakland Univ, Dept Math & Stat, Oakland, MI USA

[2] Connecticut Coll, Dept Math & Stat, New London, CT 06320 USA

来源：

JAPANESE JOURNAL OF STATISTICS AND DATA SCIENCE | 2021年 / 4卷 / 02期

关键词：

Stress-strength analysis; Fixed-accuracy confidence intervals; Nonparametric methods; Two-stage sampling; Cancer survival data; GINIS MEAN DIFFERENCE; POINT ESTIMATION; 2-STAGE; RELIABILITY; MOMENTS; SAMPLE; X);

D O I：

10.1007/s42081-021-00122-2

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

This paper deals with fixed-accuracy confidence interval estimation of the parameter P(X<Y) where X follows a geometric distribution and Y follows an exponential distribution with both parameters unknown. Taking into consideration parametric and nonparametric methods, we develop modified two-stage and two-stage sampling procedures, respectively, to determine the necessary sample sizes for constructing a confidence interval with required the accuracy. Both procedures show a few appealing properties and are further investigated through simulation studies. A prostate cancer data set is used to illustrate the implementation of the model and sampling procedures.

引用

页码：1079 / 1104

页数：26

共 33 条

[1] Estimation of P{X < Y} for geometric-exponential model based on complete and censored samples
Jovanovic, Milan
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[2] Fixed-accuracy confidence interval estimation of P(X > c) for a two-parameter gamma population
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Bapat, Sudeep R. (bapat@pstat.ucsb.edu), 2018, Taylor and Francis Ltd. (37) : 386 - 400
[5] Fixed-accuracy confidence interval estimation of P(X<Y)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\varvec{P(X<Y)}$$\end{document} under a geometric–exponential model
Jun Hu
Yan Zhuang
Clara Goldiner
Japanese Journal of Statistics and Data Science, 2021, 4 (2) : 1079 - 1104
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STATISTICAL METHODOLOGY, 2012, 9 (03) : 445 - 455
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Singh, Bhupendra
Nayal, Amit Singh
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RICERCHE DI MATEMATICA, 2023,
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Swarnali Banerjee
Nitis Mukhopadhyay
Annals of the Institute of Statistical Mathematics, 2016, 68 : 541 - 570
[10] A general sequential fixed-accuracy confidence interval estimation methodology for a positive parameter: illustrations using health and safety data
Banerjee, Swarnali
Mukhopadhyay, Nitis
ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 2016, 68 (03) : 541 - 570

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Fixed-accuracy confidence interval estimation of P(X &lt; Y) under a geometric-exponential model

Fixed-accuracy confidence interval estimation of P(X < Y) under a geometric-exponential model