THE BIVARIATE EXTENSION OF AMOROSO DISTRIBUTION

Bivariate Extension of Past Entropy

Di Crescenzo and Longobardi (2002) has been proposed a measure of uncertainty related to past life namely past entropy. The present paper addresses the question of extending this concept to bivariate set-up and study some properties of the proposed measure. It is shown that the proposed measure uniquely determines the distribution function. Characterizations for some bivariate lifetime models a...

Multivariate Extension of Modified Sarhan-Balakrishnan Bivariate Distribution

Recently Kundu and Gupta (2010, Modified Sarhan-Balakrishnan Singular Bivariate Distribution, Journal of Statistical Planning and Inference, 140, 526 538) introduced the modified Sarhan-Balakrishnan bivariate distribution and established its several properties. In this paper we provide a multivariate extension of the modified Sarhan-Balakrishnan bivariate distribution. It is a distribution with...

An extension of the bivariate chromatic polynomial

K.Dohmen, A.Pönitz and P.Tittman (2003), introduced a bivariate generalization of the chromatic polynomial P (G, x, y) which subsumes also the independent set polynomial of I. Gutman and F. Harary, (1983) and the vertex-cover polynomial of F.M. Dong, M.D. Hendy, K.T. Teo and C.H.C. Little (2002). We first show that P (G, x, y) has a recursive definition with respect to three kinds of edge elimi...

Asymptotic Efficiencies of the MLE Based on Bivariate Record Values from Bivariate Normal Distribution

Abstract. Maximum likelihood (ML) estimation based on bivariate record data is considered as the general inference problem. Assume that the process of observing k records is repeated m times, independently. The asymptotic properties including consistency and asymptotic normality of the Maximum Likelihood (ML) estimates of parameters of the underlying distribution is then established, when m is ...

The Bivariate Marginal Distribution