Characterisation of some generalised continuous distributions by doubly truncated moments

• Authors: Haseeb Athar , Mohammad Ahsanullah , Mohd. Almech Ali

Abstracts

EN

The characterisation of probability distribution plays an important role in statistical studies. There are various methods of characterisation available in the literature. The characterisation using truncated moments limits the observations; hence, researchers may save time and cost. In this paper, the characterisation of three general forms of continuous distributions based on doubly truncated moments has been studied. The results are given simply and explicitly. Further, the results have been applied to some well-known continuous distributions.

Keywords

EN

truncated moment; characterisation; probability distribution; Weibull; power function; Frechet; Pareto; Lindley

• Publisher: Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
• Journal: Operations Research and Decisions
• Year: 2023
• Volume: 33
• Issue: 1

Dates

published

2023

Contributors

author

Haseeb Athar

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

author

Mohammad Ahsanullah

• y, Aligarh, India 2Department of Management Sciences, Rider University, Lawrenceville, USA

author

Mohd. Almech Ali

• Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah, KSA

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Identifiers

DOI

10.37190/ord230101

Biblioteka Nauki

2204096