Alternative Approach to Moments of Order Statistics from One-Parameter Weibull Distribution

Rai, Piyush Kant; Sirohi, Anu

doi:10.21307/stattrans-2020-010

Author

Rai Piyush Kant (Dept. of Statistics, B.H.U. Varanasi, India), Sirohi Anu (Dept. of Mathematics and Statistics, Banasthali Vidyapith, Rajasthan, India)

Title

Alternative Approach to Moments of Order Statistics from One-Parameter Weibull Distribution

Source

Statistics in Transition, 2020, vol. 21, nr 1, s. 169-176, bibliogr. s. 175-176

Keyword

Analiza przeżycia, Statystyka matematyczna, Rozkład prawdopodobieństwa
Survival analysis, Mathematical statistics, Probability distributions

Note

summ.

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. (original abstract)

Accessibility

The Main Library of the Cracow University of Economics
The Library of Warsaw School of Economics
The Library of University of Economics in Katowice

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Bibliography

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Cited by

ISSN

1234-7655

Language

eng

URI / DOI

BazEkon - The Main Library of the Cracow University of Economics

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