The monotonicity of the reliabilitymeasures of the beta distribution

Mohamed E. M.E. Ghitany

doi:10.1016/j.aml.2003.12.007

The monotonicity of the reliabilitymeasures of the beta distribution

Mohamed E. M.E. Ghitany

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

23 Scopus citations

Abstract

It is shown that the failure rate (mean residual life) function of the beta distributioncan only be strictly increasing or special bathtub-shaped (strictly decreasing or special upside-down bathtub-shaped) correcting recent results of Gupta and Gupta. © 2004 Elsevier Ltd. All rights reserved. © 2018 Elsevier B.V., All rights reserved.

Original language	American English
Pages (from-to)	1277-1283
Number of pages	7
Journal	Applied Mathematics Letters
Volume	17
Issue number	11
DOIs	https://doi.org/10.1016/j.aml.2003.12.007
State	Published - 2004
Externally published	Yes

Funding Agency

Kuwait Foundation for the Advancement of Sciences

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10.1016/j.aml.2003.12.007

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title = "The monotonicity of the reliabilitymeasures of the beta distribution",

abstract = "It is shown that the failure rate (mean residual life) function of the beta distributioncan only be strictly increasing or special bathtub-shaped (strictly decreasing or special upside-down bathtub-shaped) correcting recent results of Gupta and Gupta. {\textcopyright} 2004 Elsevier Ltd. All rights reserved. {\textcopyright} 2018 Elsevier B.V., All rights reserved.",

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year = "2004",

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language = "American English",

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journal = "Applied Mathematics Letters",

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T1 - The monotonicity of the reliabilitymeasures of the beta distribution

AU - M.E. Ghitany, Mohamed E.

PY - 2004

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AB - It is shown that the failure rate (mean residual life) function of the beta distributioncan only be strictly increasing or special bathtub-shaped (strictly decreasing or special upside-down bathtub-shaped) correcting recent results of Gupta and Gupta. © 2004 Elsevier Ltd. All rights reserved. © 2018 Elsevier B.V., All rights reserved.

U2 - 10.1016/j.aml.2003.12.007

DO - 10.1016/j.aml.2003.12.007

M3 - Article

SN - 0893-9659

VL - 17

SP - 1277

EP - 1283

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 11

ER -

The monotonicity of the reliabilitymeasures of the beta distribution

Abstract

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