Relations for moments of generalised order statistics based on Weibull–G family of distributions

• Autorzy: Athar Haseeb , Alharbi Yousef F. , Fawzy Mohamad A.

Identyfikatory

DOI

10.37190/ord220402

• Języki publikacji: EN

Abstrakty

EN

The Weibull distribution is one of the important distributions used in reliability theory and life-testing experiments. The generalised versions of the Weibull distribution give a more flexible model for these studies. The Weibull–G family of distributions is one of the extended versions extensively studied. In this paper, we have studied moments properties of generalised order statistics for the said distribution in terms of a single moment, product moments and characterisation. Several examples and special cases are presented. The results can be applied to all distributions belonging to this family.

Słowa kluczowe

EN

generalized order statistics; order statistics; record values; expectation identities; characterisation

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Operations Research and Decisions
• Rocznik: 2022
• Tom: Vol. 32, No. 4
• Strony: 17--31
• Opis fizyczny: Bibliogr. 28 poz.

Twórcy

autor

Athar Haseeb

• Department of Statistics and Operations Research, Faculty of Science, Aligarh Muslim University, India

• https://orcid.org/0000-0001-5823-9979

autor

Alharbi Yousef F.

• Department of Mathematics, College of Science, Taibah University, Al Madinah, Kingdom of Saudi Arabia

• https://orcid.org/0000-0002-2673-1464

autor

Fawzy Mohamad A.

• Department of Mathematics, College of Science, Taibah University, Al Madinah, Kingdom of Saudi Arabia
• Mathematics Department, Faculty of Science, Suez University, Suez, Egypt

• https://orcid.org/0000-0003-2196-8312

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).