Truncated Weibull power Lomax distribution: statistical properties and applications

Abstract

A new four-parameter distribution, called the truncated Weibull power Lomax (TWPL) distribution is introduced. We calculate the density (pdf), distribution function (cdf), quantile function, r th moment, inequality measures, and order statistics. Maximum Likelihood methods to estimate the TWPL distribution parameters are proposed. Two real data sets are applied to illustrate the flexibility of the TWPL model compared with some Known distributions.

Truncated Inverse Generalized Rayleigh Distribution and Some Properties

“…The cumulative distribution function, rth moment, mean, variance, skewness, kurtosis, mode, median, characteristic function, reliability function, and hazard function. [9] Introduced Truncated Weibull power Lomax distribution with four parameters. [10] introduced [0,1] Truncated Gompertz Exponential distribution and [0,1] truncated Gompertz-G family distribution and then discussed as cases: probability density function (PDF), Cumulative distribution function (CDF), Hazard rate function (HF), Survival function (SF), moments, the mean μ, variance σ2, Moment Generating Function (M.G.F.…”