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316598

An Approximation for the Sampling Distribution of an Estimate Arising in Life Testing

Article

Last updated: 28 Dec 2024

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Abstract

Using censored type I and exponential model, the exact sampling distribution of the maximum likelihood estimate of the unknown parameter is quite complicated so an approximation to its distribution is needed. A simulation study and Pearson system will be used to fit a suitable distribution using different sample sizes and censored items. This study confirms the fact that a Pearson type I distribution can adequately approximate the sampling distribution in different cases.

DOI

10.21608/esju.1985.316598

Keywords

Censored Samples, Exponential, Weighted Sum of Chi Square, Maximum likelihood, Pearson Type I, Monte Carlo simulation

Authors

First Name

S.

Last Name

Ashour

MiddleName

K.

Affiliation

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Email

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Orcid

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Volume

29

Article Issue

2

Related Issue

43407

Issue Date

1985-12-01

Receive Date

2023-09-07

Publish Date

1985-12-01

Page Start

73

Page End

79

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_316598.html

Detail API

https://esju.journals.ekb.eg/service?article_code=316598

Order

4

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

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

MainTitle

An Approximation for the Sampling Distribution of an Estimate Arising in Life Testing

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Article

Created At

28 Dec 2024