The Length-Biased Topp-Leone Distribution: Properties and Applications

Authors

  • Zahra Shokooh Ghazani

DOI:

https://doi.org/10.30495/jme.v18i0.2850

Keywords:

Topp-Leone distribution, Maximum likelihood estimation, Statistical inference, Data analysis

Abstract

This paper presents an innovative collection of distributionsknown as the length-biased Topp-Leone. In addition, it delves into fundamentalmathematical characteristics such as Moments and momentgenerating function, Measure of uncertainty, The Rényi entropy, Bonferroniand Lorenz curves, and Order statistics. To determine the distribution’sparameters, the maximum likelihood method is employed.Moreover, this novel model is implemented on two existing data sets toshowcase its practicality and usefulness.

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Published

2024-11-01

Issue

Vol. 18

Section

Vol. 18, No. 7, (2024)

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