Title

Goodness-Of-Fit Testing Of A Weak Memoryless Property Of Life Distributions

Keywords

Asymptotic normality; Goodness-of-fit testing; New better than used of specified age; Power of tests; Weak memoryless property

Abstract

A life distribution is said to have a weak memoryless property if its conditional probability of survival beyond a fixed time point is equal to its (unconditional) survival probability at that point. Goodness-of-fit testing of this notion is proposed in the current investigation, both when the fixed time point is known and when it is unknown but estimable from the data. The limiting behaviour of the proposed test statistic is obtained and the null variance is explicitly given. The empirical power of the test is evaluated for a commonly known alternative using Monte Carlo methods, showing that the test performs well. The case when the fixed time point t0 equals a quantile of the distribution F gives a distribution-free test procedure. The procedure works even if t0 is unknown but is estimable.

Publication Date

1-1-2004

Publication Title

Australian and New Zealand Journal of Statistics

Volume

46

Issue

3

Number of Pages

471-481

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1111/j.1467-842X.2004.00344.x

Socpus ID

6044269260 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/6044269260

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