Sep 11, 2013 - beta modified Weibull and Weibull distributions, among several others. The probability density function (pdf) corresponding to (1) is given by g?,? (t) = ?h(t) PDF | The exponential, Rayleigh, linear failure rate and Weibull dis-tributions are the most commonly used distributions for analyzing life-time data. | Find, read May 27, 2015 - Apr 22, 2015 - A modified Weibull distribution. Publisher: IEEE. Cite This Cite This. PDF. The Weibull distribution is commonly used in industry to model failure data. It has probability density function (pdf) is given by the following equation: (. ) ( )1. The Weibull distribution is commonly used in industry to model failure data. It has probability density function (pdf) is given by the following equation: (. ) ( )1.PDF | A new lifetime distribution capable of modeling a bathtub-shaped hazard-rate function is proposed. The proposed model is derived as a limiting | Find Jul 16, 2014 -