Saman Shahbaz

On a new class of probability distributions

Multicomponent systems are widely used in computer science. The reliability of these systems plays a very important role in efficient working. These systems are not always supposed to follow the standard probability distributions and so pseudo-distributions can be thought of as suitable alternatives. In this work we have defined a new bivariate pseudo-Weibull distribution. Some standard properties of the distribution have been studied. The distributions of the order statistics and concomitants have also been obtained.

On distribution of bivariate concomitants of records

The distributions of two concomitants have been given when a random sample is available from a trivariate distribution. The illustration has been given by using a trivariate Pseudo-Exponential distribution.

Recurrence Relations for Moments of Generalized Order Statistics for Inverse Weibull Distribution and Some Characterizations

Recurrence relations for moments of order statistics has been an old topic of study. Several identities have been derived which relate higher order moments of order statistics with corresponding lower order moments, see for example Cole [11], Arnold et al. [1] and David and Nagaraja [12]. Since emergence of record statistics by Chandler [10], various authors have studied distributions of records. Various authors have studied recurrence relations between moments of records for certain probability distributions, see for example Ahsanullah [2], Balakrishnan and Ahsanullah [6], Balakrishnan et al. [7], Bieniek and Szynal [9], Pawlas and Szynal [17] among others. A comprehensive review of record statistics can be found in Ahsanullah [3]. Journal of Statistical Theory and Applications, Vol. 16, No. 2 (June 2017) 137–149 ___________________________________________________________________________________________________________