The alpha power Teissier distribution and its applications
Joseph Thomas Eghwerido
Abstract
Statistical distribution that represents the true characteristics of real-life data is paramount to data analysis. Thus, this study introduces a tractable alpha power Teissier distribution (APOT). Some statistical properties of the proposed model like moments, probability generating function, moment generating function and order statistic were examined. The shape of the hazard rate and survival functions were investigated. The shapes of the hazard rate function indicated increasing, decreasing, J-shaped and bathtub shapes. The results of the data analysis indicated that the APOT model performed better when compared to some existing classical statistical distributions.
Topics & Concepts
Order statisticStatisticMoment (physics)MathematicsMoment-generating functionStatisticsHazardBathtubFunction (biology)Survival functionProbability density functionDistribution (mathematics)Applied mathematicsSurvival analysisMathematical analysisPhysicsArchaeologyClassical mechanicsHistoryBiologyOrganic chemistryChemistryEvolutionary biologyStatistical Distribution Estimation and ApplicationsBayesian Methods and Mixture ModelsProbabilistic and Robust Engineering Design