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A new lifetime distribution: transmuted exponential power distribution

Buğra SARAÇOĞLU, Caner Tanış

2021Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics12 citationsDOIOpen Access PDF

Abstract

In this paper, we have introduced a new statistical distribution called as transmuted Exponential Power (TEP) distribution using the quadratic rank transmutation map proposed by Shaw and Buckley [25, We have also studied some statistical properties such as descriptive statistics (moments, variance, coe cient of skewness (CS) and kurtosis (CK)), point estimation (maximum likelihood estimation) and real data applications to illustrate usefulness of TEP distribution.

Topics & Concepts

MathematicsExponential distributionDistribution fittingNatural exponential familyStatisticsApplied mathematicsDistribution (mathematics)Goodness of fitGamma distributionExponential functionExponential familyExponentially modified Gaussian distributionStatistical physicsMathematical analysisPhysicsStatistical Distribution Estimation and ApplicationsProbabilistic and Robust Engineering DesignBayesian Methods and Mixture Models
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