2Ailamujia distribution for sum two independent random variables

Nahla Hadi  Abdul Sahib

doi:10.5269/bspm.77514

Nahla Hadi Abdul Sahib Babylon university

Abstract

This research presents two novel random variables generated from the Ailamujia probability distribution. Mathematically, the proposed model (termed 2Ailamujia) represents the summation of two independent and identically distributed Ailamujia variables with shared parameters. Key statistical properties are rigorously derived, encompassing moment-generating functions, raw/incomplete moments, and characteristic functions. For parameter inference, we employ maximum likelihood estimation (MLE) and assess its asymptotic efficiency via comprehensive Monte Carlo experiments.

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