Testing Whether a Survival Function Is New Better than Used of a Specified Age | ||
| The Egyptian Statistical Journal | ||
| Article 3, Volume 45, Issue 2, December 2001, Pages 155-162 PDF (3.28 M) | ||
| Document Type: Original Article | ||
| DOI: 10.21608/esju.2001.313811 | ||
| Authors | ||
| Ibrahim A. Awasel* ; Ahmed H. El-Bassiouny | ||
| Department of Statistics & O.R King Saud University -Riyadh, Saudi Arabia | ||
| Abstract | ||
| A survival variable is a nonnegative random variable X with distribution function F and a survival function F=1-F. This variable is said to be new better than used of a specified age t0 if F (x+t0) ≤ F (x) F (t0) for all x≥0 and a fixed t0. This is a large and practical class of life distributions. Its properties, applicability, and testing were discussed by Hollander, Park and Proschan (1986), (HPP). In the current investigation, it is demonstrated that a goodness of fit approach is possible to carry out this testing problem and that it results in simpler and asymptotically equivalent procedure to the HPP test. | ||
| Keywords | ||
| New Better Than Used at Specified Age; Life Distributions; Goodness of Fit; Hypothesis Testing; Asymptotic Normality | ||
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