Vol. 3, No. 2, 2010

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ISSN: 1944-4184 (e-only)
ISSN: 1944-4176 (print)
Linear dependency for the difference in exponential regression

Indika Sathish and Diawara Norou

Vol. 3 (2010), No. 2, 215–222
Abstract

In the field of reliability, a lot has been written on the analysis of phenomena that are related. Estimation of the difference of two population means have been mostly formulated under the no-correlation assumption. However, in many situations, there is a correlation involved. This paper addresses this issue. A sequential estimation method for linearly related lifetime distributions is presented. Estimations for the scale parameters of the exponential distribution are given under square error loss using a sequential prediction method. Optimal stopping rules are discussed using concepts of mean criteria, and numerical results are presented.

Keywords
survival, stopping rule, bivariate exponential
Mathematical Subject Classification 2000
Primary: 60-00
Secondary: 60-08
Milestones
Received: 9 November 2009
Revised: 26 March 2010
Accepted: 18 April 2010
Published: 11 August 2010

Communicated by Kenneth S. Berenhaut
Authors
Indika Sathish
Old Dominion University
Department of Mathematics and Statistics
4700 Elkhorn Avenue
Norfolk, VA 23529
United States
Diawara Norou
Old Dominion University
Department of Mathematics and Statistics
4700 Elkhorn Avenue
Norfolk, VA 23529
United States
http://www.odu.edu/~ndiawara