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A family of test statistics for detecting monotone mean residual life
Department of Mathematics, Linköping Institute of Technology.
Luleå University of Technology, Department of Business Administration, Technology and Social Sciences, Business Administration and Industrial Engineering.
1989 (English)In: Journal of Statistical Planning and Inference, ISSN 0378-3758, E-ISSN 1873-1171, Vol. 21, no 2, p. 161-178Article in journal (Refereed) Published
Abstract [en]

The mean residual life of a life distribution F with survival function F̄=1-F is defined as e(x)=(sh{phonetic}∞xF̄(t)dt)/F̄(x) if F̄(x)>0 (e(x)=0 if F̄(x)=0). The function e(x) has proved to be of great interest in many different areas such as biometry, reliability and social sciences. The class DMRL (IMRL) consists of those life distributions which have decreasing (increasing) mean residual life; i.e. e(x) is a decreasing (increasing) function of x. In this paper we present and study a family of test statistics intended for testing exponentiality against DMRL (IMRL). The family includes the test statistics proposed for the same purpose by Hollander and Proschan (1975) for complete samples and later generalized by Chen et al. (1983a) to accomodate randomly right censored samples. We compare the efficiency for different members in the family of test statistics when testing against some different alternatives. Furthermore, we study the efficiency loss due to different amount of exponential censoring. The asymptotical normal distribution of the test statistics are presented and the quality of the normal approximation is also discussed

Place, publisher, year, edition, pages
1989. Vol. 21, no 2, p. 161-178
National Category
Reliability and Maintenance
Research subject
Quality Technology & Management
Identifiers
URN: urn:nbn:se:ltu:diva-7543DOI: 10.1016/0378-3758(89)90002-5ISI: A1989T250800002Scopus ID: 2-s2.0-38249025351Local ID: 5ef26db0-b50d-11db-bf94-000ea68e967bOAI: oai:DiVA.org:ltu-7543DiVA, id: diva2:980433
Note

Godkänd; 1989; 20070205 (evan)

Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2021-12-13Bibliographically approved

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Klefsjö, Bengt

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