In this paper, we introduce the Morgenstern type bivariate generalized exponential distribution. This distribution is an extension of Morgenstern type bivariate exponential distribution and the marginal distributions are generalized exponential distribution. We study some properties of this bivariate distribution. Also, some distributional properties of concomitants of order statistics as well ...

We study the problem of finding the smallest m such that every element of an exponential family can be written as a mixture of m elements of another exponential family. We propose an approach based on coverings and packings of the face lattice of the corresponding convex support polytopes and results from coding theory. We show that m = qN−1 is the smallest number for which any distribution of ...

In this paper a new generalization of the hyper-Poisson distribution is proposed using the Mittag-Leffler function. The hyper-Poisson, displaced Poisson, Poisson and geometric distributions among others are seen as particular cases. This Mittag-Leffler function distribution (MLFD) belongs to the generalized hypergeometric and generalized power series families and also arises as weighted Poisson...

Permeability and gating properties of single, non-inactivating, K+ channel currents in cultured Drosophila neurons were studied using the gigaohm-seal patch-clamp technique. The non-inactivating K+ currents were activated by depolarizing the membrane to -30 mV or to more positive potentials. The slope conductance of the channel was estimated to be 17.6 +/- 3.70 pS when the cytoplasmic side of t...

The study of BCK-algebras was initiated by K. Iséki in 1966 as a generalization of the concept of set-theoretic difference and propositional calculus. The hyperstructure theory (called also multialgebras) is introduced in 1934 by Marty [6] at the 8th congress of Scandinavian Mathematicians. Around the 40’s, several authors worked on hypergroups, especially in France and in the United States, bu...

We give some characterizations of the exponential distribution based on the distributional properties and the expected values of record values; the index of record values has the geometric distribution.