Order statistics from inverse weibull distribution and associated inference

M.A.W. Mahmoud; K.S. Sultan; S.M. Amer

doi:10.1016/S0167-9473(02)00151-2

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Order statistics from inverse weibull distribution and associated inference

Journal article

Peer reviewed

Order statistics from inverse weibull distribution and associated inference

M.A.W. Mahmoud, K.S. Sultan and S.M. Amer

Computational statistics & data analysis, Vol.42(1), pp.149-163

28/02/2003

DOI: https://doi.org/10.1016/S0167-9473(02)00151-2

Abstract

Approximate inference and interval estimation

Best linear unbiased estimates

Order statistics

Type-II censoring

Order statistics arising from inverse Weibull (IW) distribution are considered. Exact expression for the single moments of order statistics are derived. Also, the variances and covariances are calculated. Based on the moments of order statistics, the best linear unbiased estimates (BLUEs) for the location and scale parameters of IW distribution are obtained. In addition, these BLUEs are applied to draw inferences for the location and scale parameters of the underlying model. To show the usefulness of our results a simulation study is carried out.

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Title: Order statistics from inverse weibull distribution and associated inference
Creators - without role: M.A.W. Mahmoud - Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City, Cairo 11884, Egypt
K.S. Sultan - Al Azhar University
S.M. Amer - Ain Shams University
Publication Details: Computational statistics & data analysis, Vol.42(1), pp.149-163
Publisher: Elsevier B.V
Identifiers: 9952855908331
Academic Unit: King Saud University
Language: English
Resource Type: Journal article