The Inverse W eibull distribution has been used as an effective model for failure dat a in the literature. f(x) = a (s/x)^a exp(-(s/x)^a)/x. , among others. The inverse cumulative distribution function is I(p) =. The main aim of this paper is to intro-duce bivariate inverse Weibull distribution along the same line as the Marshall-Olkin bivariate exponential distribution, so that the marginals have inverse Weibull distribu-tions. Inverse Weibull distribution has been used quite successfully to analyze lifetime data which has non monotone hazard function. Definition 1: The Weibull distribution has the probability density function (pdf). The cumulative distribution function (cdf) is. for x > 0, a > 0 and s > 0.. for x ≥ 0. The basic principle is to find the inverse function … This paper proposes the new three-parameter type I half-logistic inverse Weibull (TIHLIW) distribution which generalizes the inverse Weibull model. Moment generating function. Inverse Weibull Distribution. A three-parameter generalized inverse Weibull distribution that has a decreasing and unimodal failure rate is presented and studied. Details. A three parameter modified Weibull extension is ... cumulative distribution function … The density a nd distribution function of Inverse Weibull random variab le is The inverse Weibull distribution is discussed by Drapella, Mudholkar and Kollia and Jiang et al. The inverse transform technique can be used to sample from exponential, the uniform, the Weibull and the triangle distributions. Next: Exponential Distribution Up: Random Variate Generation Previous: Random Variate Generation Inverse Transform Technique. The Fréchet distribution, also known as inverse Weibull distribution, is a special case of the generalized extreme value distribution.It has the cumulative distribution function (≤) = − − >where α > 0 is a shape parameter.It can be generalised to include a location parameter m (the minimum) and a scale parameter s > 0 with the cumulative distribution function Like Weibull distribution, a three-parameter inverse Weibull distribution is introduced to study the density shapes and failure rate functions. The inverse Weibull distribution could model failure rates that are much common and have applications in reliability and biological studies. The inverse Weibull is the distribution of the reciprocal of a random variable, which has a Weibull distribution. Here β > 0 is the shape parameter and α > 0 is the scale parameter.. The special case shape == 1 is an Inverse Exponential distribution.. The inverse Weibull distribution with parameters shape = a and scale = s has density: . The inverse Weibull distribution has the ability to model failures rates which are most important in the reliability and biological study areas.