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313571

Bayesian Prediction of the Median of Future Observations Based on Finite Mixture Models

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Last updated: 05 Jan 2025

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Abstract

Bayesian predictive density functions of the median of a set of odd and even number of future order statistics are obtained when the observations (informative and future) are assumed to follow a finite mixture of components of general form and type 1 censoring is imposed on the informative sample. The prior belief of the experimenter is measured by a general class of distributions which includes most priors used in literature. A mixture of two Weibull components model is given as an application. A numerical example presents Bayesian prediction bounds of the future median of observations based on a finite mixture of two exponential components.  

DOI

10.21608/esju.2004.313571

Keywords

Type 1 Censoring, Finite Mixture, two, Sample Prediction, Prediction Intervals

Volume

48

Article Issue

1

Related Issue

42996

Issue Date

2004-06-01

Publish Date

2004-06-01

Page Start

21

Page End

33

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_313571.html

Detail API

https://esju.journals.ekb.eg/service?article_code=313571

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

Bayesian Prediction of the Median of Future Observations Based on Finite Mixture Models

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Article

Created At

28 Dec 2024