Alternative approach to moments of order statistics from one-parameter Weibull distribution

Rai Piyush Kant () and Anu Sirohi
Additional contact information
Rai Piyush Kant: Dept. of Statistics, B.H.U. Varanasi, Varanasi, India .

Statistics in Transition New Series, 2020, vol. 21, issue 1, 155-162

Abstract: 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.

Keywords: order statistics; survival function; moments; characteristic function. (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://doi.org/10.21307/stattrans-2020-010 (text/html)

Related works:
Journal Article: Alternative approach to moments of order statistics from one-parameter Weibull distribution (2020)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:vrs:stintr:v:21:y:2020:i:1:p:155-162:n:4

DOI: 10.21307/stattrans-2020-010

Access Statistics for this article

Statistics in Transition New Series is currently edited by Włodzimierz Okrasa

More articles in Statistics in Transition New Series from Statistics Poland
Bibliographic data for series maintained by Peter Golla ().