Darna Distribution: Properties and Application


Abstract


In this paper, Darna distribution (DD) is suggested as a new continuousprobability density function. The statistical properties of the DD as the moments,shapes of the distribution, measures of skewness, kurtosis, coefficientof variation are presented as well as some calculations are provided. Also,the maximum likelihood estimators, the Bonferroni and Lorenz curves, andGini Index are obtained. The Stress - Strength Reliability, R´enyi entropy,mean and median deviations are derived and proved. The distribution oforder statistics are presented. The reliability analysis including hazard, reliability,odds, and reverse hazard functions are presented. An application ofWheaton River data is considered.

DOI Code: 10.1285/i20705948v12n2p520

Keywords: Mixture distribution; Variance; Bonferroni curve; Stress-Strength reliability; Lorenz curve; Gini index; R´enyi entropy; Stochastic ordering; Reliability analysis

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