The Length-Biased Wieghted Kpendidum Distribution: Properties and some Real-Life Applications

Authors

  • Ranen Z. Ahmood Department of Mathematics and Computer Applications, College of Sciences, Al-Nahrain University, Jadriya, Baghdad, Iraq.
  • Akram Al-Sabbagh Department of Mathematics and Computer Applications, College of Sciences, Al-Nahrain University, Jadriya, Baghdad, Iraq. https://orcid.org/0000-0002-7731-4791
  • Haneen A. Ameen Department of Mathematics and Computer Applications, College of Sciences, Al-Nahrain University, Jadriya, Baghdad, Iraq.

DOI:

https://doi.org/10.22401/

Keywords:

Weighted distribution, Kpendidum distribution, Length-based distribution, Maximum likelihood Estimation

Abstract

The main aim of this paper is to introduce a new class of one-parameter statistical models namely the length-biased weighted Kpendidum distribution. This distribution is a convex combination of three component of Gamma distribution. Some statistical and reliability properties of this distribution are discussed. The maximum likelihood estimation is used to estimate the one-parameter of the presented distribution. Moreover, five real life applications are provided to investigate the effectiveness of the new model in comparison with the Kpendidum distribution and some other one-parameter length-biased weighted models. Additionally, it is shown that in some real-life applications the proposed model gives a better results than some of the two-parameter models. Finally, different statistical measures are used to guarantee the accuracy of this model.

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Published

2026-03-16

Issue

Vol. 29 No. 1 (2026): March 2026

Section

Mathematics

License

Copyright (c) 2026 Ranen Z. Ahmood, Akram Al-Sabbagh, Haneen A. Ameen

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

(1)
Z. Ahmood, R. .; Al-Sabbagh, A. .; A. Ameen, H. . The Length-Biased Wieghted Kpendidum Distribution: Properties and Some Real-Life Applications. Al-Nahrain J. Sci. 2026, 29 (1), 166-175. https://doi.org/10.22401/.