A New Modified Exponent Power Alpha Family of Distributions with Applications in Reliability Engineering

Probability distributions perform a very significant role in the field of applied sciences, particularly reliability engineering. Engineering data sets are either negatively or positively skewed and/or symmetrical. Therefore, flexible distribution is required that can handle such sets. In this paper, we propose new family lifetime to model aforementioned This proposed known as “New Modified Exponent Power Alpha Family distributions” short NMEPA. The obtained by applying well-known T-X approach together with exponential distribution. A three-parameter-specific sub-model method termed “new Weibull distribution” (NMEPA-Wei for short), discussed detail. various mathematical properties including hazard rate function, ordinary moments, moment generating and order statistics also discussed. addition, adopted maximum likelihood estimation (MLE) estimating unknown parameters. brief Monte Carlo simulation study conducted evaluate performance MLE based on bias mean square errors. comprehensive provided assess analyzing two real-life from analytical goodness fit measures compared (i) APT-Wei (alpha power transformed Weibull), (ii) Ex-Wei (exponentiated-Weibull), (iii) classical two-parameter Weibull, (iv) Mod-Wei (modified (v) Kumar-Wei (Kumaraswamy–Weibull) distributions. class expected produce many more fitting monotonic non-monotonic analysis survival analysis.