On the theory of order statistics of the flexible Lomax distribution

• Authors: JAMAL Farrukh , IJAZ Muhammad , MUSTAFA Ghulam , KHAN Sadaf , SHAFIQ Shakaiba
• Languages of publication: EN

Abstracts

EN

This paper studies the flexible Lomax distribution’s order statistics with graphical and numerical findings. Along with the quantitative measurements, some plots are furnished, including those for the skewness and kurtosis measures. We will dwell on the numerous results that relate to statistics of moments of order. We consider the single and product moment of order statistics from the new distribution. Further, we establish some recurrence relation for single moments of order statistics. We have sought to apply the derived relations to empirically evaluate the moments of smallest (largest) order statistics to establish well-known moments and related measures. For order statistics of a flexible Lomax distribution, exact analytical expressions of entropy, residual entropy, and past latent entropy are determined.

Keywords

EN

Weibull distribution; weighted family; moments; simulation; maximum likelihood estimation

• Publisher: Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
• Journal: Operations Research and Decisions
• Year: 2024
• Volume: 34
• Issue: 2
• Pages: 33-45

Contributors

author

JAMAL Farrukh

• Department of Statistics, The Islamia University of Bahawalpur, Punjab, Pakistan

author

IJAZ Muhammad

• Department of Mathematics and Statistics, The University of Haripur, KP, Pakistan

author

MUSTAFA Ghulam

• Department of Statistics, Islamia College University, Peshawar, Pakistan

author

KHAN Sadaf

• Department of Statistics, The Islamia University of Bahawalpur, Punjab, Pakistan
• Department of Social and Allied Sciences, Cholistan University of Veterinary and Animal Sciences, Bahawalpur, Punjab, Pakistan

author

SHAFIQ Shakaiba

• Department of Statistics, The Islamia University of Bahawalpur, Punjab, Pakistan

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Identifiers

DOI

10.37190/ord240203