DOUBLE WEIBULL DISTRIBUTION: PROPERTIES AND IT’S APPLICATION

Abstract

Basis on theoretical properties to find out the basic assumptions about double Weibull distribution were determined with different shape and scale parameters were used to find the new distribution with modified approaches of different parameters. Some characteristics of the newly proposed distribution were obtained using the existing distribution. Different properties were used to find out the cumulative distribution function, probability density function (PDF), hazard function, Reverse Hazard and survival functions. The measure of skewness, kurtosis for selected coefficients and parameters of the new distribution were also calculated. To estimate the parameters, the maximum likelihood (ML) technique was used. Mathematica software was used to draw graphical representations for different shape and scale parameters. of statistical application of the results of life data analysis. On the basis of numerical results, we found that the suggested Double Weibull Distribution was more suitable than the existing Weibull probability distributions. in this study.