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313801

A Simulation Study of Bayesian Prediction from the Rayleigh Distribution with Future Random Sample Size

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Last updated: 28 Dec 2024

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Abstract

This paper considers Bayesian prediction of order statistics from a future sample from the Rayleigh distribution when the sample size is a random variable. It has been shown (see Lingappaiah (1986)) that this situation arises in the field as Biology Agriculture and in Quality Control. A comparison is made with the case when the sample size is fixed assuming that the random sample sizes have a Poisson and Negative Binomial distribution. These comparisons are made under basis of relative efficiency for point estimation and tail probability for interval estimation. The results of Monte Carlo Simulation study are presented.  

DOI

10.21608/esju.2001.313801

Keywords

Bayesian Prediction, Rayleigh distribution, Poisson and Negative Binomial Distribution

Volume

45

Article Issue

1

Related Issue

43028

Issue Date

2001-06-01

Publish Date

2001-06-01

Page Start

32

Page End

40

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_313801.html

Detail API

https://esju.journals.ekb.eg/service?article_code=313801

Order

3

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

https://esju.journals.ekb.eg/

MainTitle

A Simulation Study of Bayesian Prediction from the Rayleigh Distribution with Future Random Sample Size

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Article

Created At

28 Dec 2024