Point and interval estimation for frechet distribution based on progressive first failure censored data

Fathy H. Riad; E. H. Hafez

doi:10.18576/jsap/090116

Point and interval estimation for frechet distribution based on progressive first failure censored data

Fathy H. Riad, E. H. Hafez

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

In this paper, we obtain the point and interval estimation for Frechetdistribution FD based on progressive first failure PFF censored data using two methods: Maximum likelihood estimation ( MLE) and Bayesian estimation. A comparison of Bayesian estimation under symmetric and asymmetric loss functions are obtained. The highest posterior density (HPD) interval and approximate confidence interval CI was made.

Original language	English
Pages (from-to)	181-191
Number of pages	11
Journal	Journal of Statistics Applications and Probability
Volume	9
Issue number	1
DOIs	https://doi.org/10.18576/jsap/090116
State	Published - Mar 2020
Externally published	Yes

Keywords

Bayesian estimation
Frechet distribution
Interval estimation
Maximum likelihood estimation
Progressive first failure censoring

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10.18576/jsap/090116

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title = "Point and interval estimation for frechet distribution based on progressive first failure censored data",

abstract = "In this paper, we obtain the point and interval estimation for Frechetdistribution FD based on progressive first failure PFF censored data using two methods: Maximum likelihood estimation ( MLE) and Bayesian estimation. A comparison of Bayesian estimation under symmetric and asymmetric loss functions are obtained. The highest posterior density (HPD) interval and approximate confidence interval CI was made.",

keywords = "Bayesian estimation, Frechet distribution, Interval estimation, Maximum likelihood estimation, Progressive first failure censoring",

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AU - Riad, Fathy H.

AU - Hafez, E. H.

PY - 2020/3

Y1 - 2020/3

N2 - In this paper, we obtain the point and interval estimation for Frechetdistribution FD based on progressive first failure PFF censored data using two methods: Maximum likelihood estimation ( MLE) and Bayesian estimation. A comparison of Bayesian estimation under symmetric and asymmetric loss functions are obtained. The highest posterior density (HPD) interval and approximate confidence interval CI was made.

AB - In this paper, we obtain the point and interval estimation for Frechetdistribution FD based on progressive first failure PFF censored data using two methods: Maximum likelihood estimation ( MLE) and Bayesian estimation. A comparison of Bayesian estimation under symmetric and asymmetric loss functions are obtained. The highest posterior density (HPD) interval and approximate confidence interval CI was made.

KW - Bayesian estimation

KW - Frechet distribution

KW - Interval estimation

KW - Maximum likelihood estimation

KW - Progressive first failure censoring

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DO - 10.18576/jsap/090116

M3 - Article

AN - SCOPUS:85086739094

SN - 2090-8423

VL - 9

SP - 181

EP - 191

JO - Journal of Statistics Applications and Probability

JF - Journal of Statistics Applications and Probability

IS - 1

ER -

Point and interval estimation for frechet distribution based on progressive first failure censored data

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Keywords

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