Relations for Moments of Generalized Order Statistics for Transmuted Exponential Distribution and Characterization

Shahbaz, Saman Hanif; Sobhi, Mashail M. Al; Sherwani, Rehan Ahmad Khan

doi:10.18187/pjsor.v17i1.3517

Cited by 1 publication

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References 15 publications

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“…The recurrence relations for moments of gos and dgos for transmuted distributions have not been explored. Al-Sobhi et al (2021) have obtained the recurrence relations for moments of gos for a transmuted exponential distribution. In this paper we have obtained the recurrence relations for moments of dgos for a general transmuted power function distribution.…”

Section: March 2023mentioning

confidence: 99%

On recurrence relations for moments of dual generalized order statistics for a general transmuted power function distributions with characterizations

Shahbaz

2023

J. Natn. Sci. Foundation Sri Lanka

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Dual generalized order statistics is a unified method for random variables that are arranged in decreasing order. The moments of dual generalized order statistics are helpful to study the properties of any distribution. Often, the moments of dual generalized order statistics are not easy to compute and recursive computation is done. The recurrence relations for moments of generalized and dual generalized order statistics are helpful to compute the higher order moments from the lower order moments. In this paper the methods for recursive computation of moments of dual generalized order statistics for general transmuted power function distributions are presented. The general transmuted power function distributions are first defined and then the recurrence relations are obtained. These recurrence relations include relations for single, inverse, product, and ratio moments. The recurrence relations are used to obtain the relations for moments of special cases, which include lower record values and reversed order statistics. Some characterizations of the general transmuted power function distributions are also presented based on the basis of single and product moments of dual generalized order statistics. These characterizations are unique results for the general transmuted power function distributions. The results given in the paper are useful to obtain the results for special cases of general transmuted power function distribution which includes power function and transmuted power function distributions.

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Section: March 2023mentioning

confidence: 99%

On recurrence relations for moments of dual generalized order statistics for a general transmuted power function distributions with characterizations

Shahbaz

2023

J. Natn. Sci. Foundation Sri Lanka

View full text Add to dashboard Cite

show abstract

Relations for Moments of Generalized Order Statistics for Transmuted Exponential Distribution and Characterization

Cited by 1 publication

References 15 publications

On recurrence relations for moments of dual generalized order statistics for a general transmuted power function distributions with characterizations

On recurrence relations for moments of dual generalized order statistics for a general transmuted power function distributions with characterizations

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