A Comment on “Modeling to Support Reliability Enhancement During Product Development With Applications in the U.K. Aerospace Industry”

Author

Nadarajah, Saralees ; Kotz, Samuel

Author_Institution

Univ. of Manchester, Manchester

Volume

55

Issue

2

fYear

2008

fDate

5/1/2008 12:00:00 AM

Firstpage

338

Lastpage

339

Abstract

The recent paper by L. Walls, J. Quigley, and J. Marshall, ldquoModeling to support reliability enhancement during product development with applications in the U.K. Aerospace industry,rdquo IEEE Trans. Eng. Manage., vol 53, no. 2, pp. 263-274, May 2006, claimed that there ldquowas no closed formrdquo for the meantime between failure defined to be the minimum order statistic of independent, nonidentically distributed beta random variables. It appears that this statement is not true. Here, we derive explicit closed-form expressions for moments of order statistics for a sample of independent and nonidentically distributed beta random variables. The expressions involve a known special function.

Keywords

aerospace industry; failure analysis; product development; reliability; statistics; U.K. aerospace industry; beta random variables; minimum order statistics; product development; support reliability enhancement; Aerospace industry; Closed-form solution; Density measurement; Mathematics; Probability density function; Product development; Random variables; Research and development management; Statistical distributions; Statistics; Beta distribution; generalized Kampe de Feriet function; meantime between failure (MTBF); order statistics; reliability;

fLanguage

English

Journal_Title

Engineering Management, IEEE Transactions on

Publisher

ieee

ISSN

0018-9391

Type

jour

DOI

10.1109/TEM.2008.919731

Filename

4494741