A Compound Class of Inverse-Power Muth and Power Series Distributions

This paper introduces the inverse-power Muth power series model, which is a composition of and class distributions. The use Bell distribution in this context emphasized for first time literature. Probability density, survival hazard functions are studied, as well their moments. Using stochastic representation maximum-likelihood estimators implemented by expectation-maximization algorithm, while standard errors calculated using Oakes’ method. Monte Carlo simulation studies conducted to show performance finite samples. Two applications real datasets shown, where our proposal compared with some models based on compositions.