General class of mixture of some densities

TL;DR

This paper introduces a broad class of mixture distributions encompassing classical and weighted distributions, providing formulas for key statistical functions and measures, thus offering a versatile framework for probabilistic modeling.

Contribution

It proposes a general mixture class that includes various distributions as special cases and derives essential statistical functions for this class.

Findings

Formulas for cumulative distribution, reliability, hazard rate, moments, characteristic function, and entropy are derived.

The class includes classical and weighted distributions as special cases.

Provides a unified framework for analyzing mixture distributions.

Abstract

In this paper, a general class of mixture of some densities is proposed. The proposed class contains some of classical and weighted distributions as special cases. Formulas for each of cumulative distribution function, reliability function, hazard rate function, rth raw moments function, characteristic function, stress-strength reliability and Tsallis entropy of order are derived.