Artikel
Alternative approach to moments of order statistics from one-parameter Weibull distribution
The Weibull distribution is used to describe various observed failures of phenomena and widely used in survival analysis and reliability theory. Sometimes it is very difficult to compute moments of such distributions due to various reasons for e.g. analytical issues, multi parameter cases etc. This study presents the computation of the moments and the expected value of the product of order statistics in the sample from the one-parameter Weibull distribution. An alternative approach in connection to survival function is used to obtain these moments and expected values. In addition the characteristic function of the above distribution is also obtained in the form of gamma functions. Further an illustration is shown to find the first two moments and expected value of the product of order statistics by using this approach.
- Sprache
-
Englisch
- Erschienen in
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Journal: Statistics in Transition New Series ; ISSN: 2450-0291 ; Volume: 21 ; Year: 2020 ; Issue: 1 ; Pages: 169-178 ; New York: Exeley
- Thema
-
order statistics
survival function
moments
characteristic function
- Ereignis
-
Geistige Schöpfung
- (wer)
-
Rai, Piyush Kant
Sirohi, Anu
- Ereignis
-
Veröffentlichung
- (wer)
-
Exeley
- (wo)
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New York
- (wann)
-
2020
- DOI
-
doi:10.21307/stattrans-2020-010
- Handle
- Letzte Aktualisierung
-
10.03.2025, 11:44 MEZ
Datenpartner
Dieses Objekt wird bereitgestellt von:
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Objekttyp
- Artikel
Beteiligte
- Rai, Piyush Kant
- Sirohi, Anu
- Exeley
Entstanden
- 2020
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