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313836

Bayesian Prediction of the First Order Statistics from Frecht Distribution When Sample Size is a Random Variable (A Numerical Investigation)

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Last updated: 28 Dec 2024

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Abstract

This paper considers Bayesian prediction of order statistics when the sample size of the future sample 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. Under the assumption that the underlying distribution for the old and future samples is a Type II Extreme value (Frecht) distribution, Bayesian prediction analysis for the first future order statistics will be investigated. A numerical comparison is made with the case when the sample size is fixed and random variable assuming that the random sample sizes have a Poisson and Negative Binomial distribution. These comparisons are made under basis of relative efficiency, sampling distribution for the first future order statistics will be obtained numerically in both fixed and random sample size cases. The results of Monte Carlo Simulation study are presented.  

DOI

10.21608/esju.2000.313836

Keywords

Bayesian Prediction, Poisson and Negative Binomial Distribution, Sampling distribution, Monte Carlo simulation

Volume

44

Article Issue

2

Related Issue

43032

Issue Date

2000-12-01

Publish Date

2000-12-01

Page Start

219

Page End

227

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_313836.html

Detail API

https://esju.journals.ekb.eg/service?article_code=313836

Order

8

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

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

MainTitle

Bayesian Prediction of the First Order Statistics from Frecht Distribution When Sample Size is a Random Variable (A Numerical Investigation)

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Article

Created At

28 Dec 2024