Inference for Reliability and Stress-Strength for a Scaled Burr Type X Distribution

Authors: Surles J.G.¹; Padgett W.J.²

Source: Lifetime Data Analysis, Volume 7, Number 2, June 2001 , pp. 187-200(14)

Publisher: Springer

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Abstract:

Inference for R={ P}(Y<X) is considered when Xand Y are independently distributed as scaled Burr type X random variables. Under this model, exact inference procedures for R cannot be found. Hence, based on the expected Fisher information matrix which is derived here, asymptotic inference procedures for R and other general functions of the parameters are developed. A bootstrap method to estimate variance for the maximum likelihood estimators is also discussed. To illustrate these techniques, an example using carbon fiber strength data is given. Simulations to assess the effectiveness of these techniques, as well as other concerns, are presented.

Keywords: stress-strength model; Burr distributions; carbon composite materials; maximum likelihood; Fisher information

Language: English

Document Type: Regular paper

Affiliations: 1: Department of Mathematics and Statistics, Texas Tech University, Lubbock, Texas 79409, U.S.A. 2: Department of Statistics, University of South Carolina, Columbia, South Carolina 29208, U.S.A.

Publication date: 2001-06-01