On Generalized Lower(k)Record Values arising from Power Function Distribution

On GLRV’s Arising From Power Function Distribution

In this paper, we introduce a new generalization of univariate and bivariate modified discrete Weibull distribution. Various properties of the univariate generalized modified discrete Weibull distribution, such as survival function, probability mass function, hazard rate function, probability generating function, and moment generating function, are derived. The joint distribution function, joint probability mass function, marginal distributions, moment generating function, and conditional distribution of the proposed bivariate distribution are derived. Parameters of the distributions are estimated using maximum likelihood estimation. The use of these distributions is illustrated using real-life datasets.

In this paper we study the generalized lower(k)record values arising from power function distribution. Some properties of generalized lower(k)record values which characterize the power function distribution have been established. Also some distributional properties of generalized lower(k)record values arising from power function distribution are studied. The applications of these properties are further illustrated in obtaining the product moments of certain statistics based on generalized lower(k)record values.