Testing Whether a Survival Function Is New Better than Used of a Specified Age
(2001). Testing Whether a Survival Function Is New Better than Used of a Specified Age. EKB Journal Management System, 45(2), 155-162. doi: 10.21608/esju.2001.313811
. "Testing Whether a Survival Function Is New Better than Used of a Specified Age". EKB Journal Management System, 45, 2, 2001, 155-162. doi: 10.21608/esju.2001.313811
(2001). 'Testing Whether a Survival Function Is New Better than Used of a Specified Age', EKB Journal Management System, 45(2), pp. 155-162. doi: 10.21608/esju.2001.313811
Testing Whether a Survival Function Is New Better than Used of a Specified Age. EKB Journal Management System, 2001; 45(2): 155-162. doi: 10.21608/esju.2001.313811

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, Page 155-162  XML
Document Type: Original Article
DOI: 10.21608/esju.2001.313811
View on SCiNiTO View on SCiNiTO
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
Statistics
Article View: 24