Abstract The Fairlie-Gumbel-Morgenstern (FGM) family has been investigated in detail for various continuous marginals such as Cauchy, normal, exponential, gamma, Weibull, lognormal and others. It has been a popular model for the bivariate distribution with mild dependence. However, bivariate FGM’s with continuous marginals on a bounded support discussed in the literature are only those with uni...

Using a bi-choice graph technique (Klaus and Klijn, 2009), we show that a matching for a roommate market indirectly dominates another matching if and only if no blocking pair of the former is matched in the latter (Proposition 1). Using this characterization of indirect dominance, we investigate von Neumann-Morgenstern farsightedly stable sets. We show that a singleton is von Neumann-Morgenster...

In this paper, a three-parameter bounded unit distribution with flexible hazard rate called the generalized log Burr XII (UGLBXII) is derived. To show importance of proposed distribution, we establish some its mathematical properties such as random number generator, ordinary moments, TL conditional reliability and uncertainty measures. We characterize UGLBXII via innovative technique...

Recently, Morgenstern et al. have proposed a new mathematical de nition of sequence alignment (Morgenstern et al.,1996). In this paper, we discuss this de nition in more detail. We demonstrate that it provides an appropriate conceptual framework in which problems arising in the context of sequence alignment can be treated systematically. 1

Abstract Bivariate polynomial copulas of degree 5 (containing the family Eyraud-Farlie-Gumbel-Morgenstern copulas) are in a one-to-one correspondence to certain real parameter triplets ( , b c ), i.e., some set polynomials two variables 1: p x y ) = ax + by . The parameters yielding copula is characterized and visualized detail. Polynomial satisfying particular (in)equalities (symmetry, Schur c...