Theoretical Analysis of the Weibull Alpha Power Inverted Exponential Distribution: Properties and Applications
Eferhonore Efe-Eyefia, Joseph Thomas, Samuel Chiabom Zelibe
Abstract
This article proposed a Weibull-Alpha Power Inverted Exponential (WAPIE) distribution for lifetime processes. Statistical properties of this distribution such as survival, hazard, reversed hazard, cumulative, odd functions, kurtosis, quantiles, skewness, order statistics and the entropies were derived. Parameters of this family of distribution were also obtained by maximum likelihood method. The behaviour of the estimators was studied through simulation. The behavior of the new developed distribution was further examined through real life data. The WAPIE distribution competes favourably well with other distributions.
Topics & Concepts
KurtosisWeibull distributionSkewnessExponentiated Weibull distributionStatisticsMathematicsQuantileNatural exponential familyExponential distributionOrder statisticExponential functionEstimatorLog-logistic distributionHazardWeibull modulusLog-Cauchy distributionDistribution (mathematics)Distribution fittingMathematical analysisInverse-chi-squared distributionOrganic chemistryChemistryStatistical Distribution Estimation and ApplicationsProbabilistic and Robust Engineering DesignReliability and Maintenance Optimization