Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
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 and Management
Identifiers
URN: urn:nbn:se:ltu:diva-7543Local 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: 2017-11-24Bibliographically approved

Open Access in DiVA

No full text in DiVA

Authority records BETA

Klefsjö, Bengt

Search in DiVA

By author/editor
Klefsjö, Bengt
By organisation
Business Administration and Industrial Engineering
In the same journal
Journal of Statistical Planning and Inference
Reliability and Maintenance

Search outside of DiVA

GoogleGoogle Scholar

urn-nbn

Altmetric score

urn-nbn
Total: 85 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf