Abdullah Ali H. Ahmadini¹, Amal Hassan², M. Elgarhy^3,*, Mahmoud Elsehetry⁴, Shokrya S. Alshqaq⁵, Said G. Nassr⁶

Intelligent Automation & Soft Computing, Vol.29, No.1, pp. 199-212, 2021, DOI:10.32604/iasc.2021.017890 - 12 May 2021

Abstract This paper introduces a modified form of the inverse Lomax distribution which offers more flexibility for modeling lifetime data. The new three-parameter model is provided as a member of the truncated Lomax-G procedure. The new modified distribution is called the truncated Lomax inverse Lomax distribution. The density of the new model can be represented as a linear combination of the inverse Lomax distribution. Expansions for quantile function, moment generating function, probability weighted moments, ordinary moments, incomplete moments, inverse moments, conditional moments, and Rényi entropy measure are investigated. The new distribution is capable of monotonically increasing,… More >

Abdullah M. Almarashi^*

CMES-Computer Modeling in Engineering & Sciences, Vol.127, No.2, pp. 621-643, 2021, DOI:10.32604/cmes.2021.014407 - 19 April 2021

Abstract In this paper, a modified form of the traditional inverse Lomax distribution is proposed and its characteristics are studied. The new distribution which called modified logarithmic transformed inverse Lomax distribution is generated by adding a new shape parameter based on logarithmic transformed method. It contains two shape and one scale parameters and has different shapes of probability density and hazard rate functions. The new shape parameter increases the flexibility of the statistical properties of the traditional inverse Lomax distribution including mean, variance, skewness and kurtosis. The moments, entropies, order statistics and other properties are discussed.… More >