The probability density function of a multiparameter multinomial distribution can be expressed in terms of the permanent of a suitable matrix. This fact and certain results on conditionally negative definite matrices are used to prove a conjecture due to Karlin and Rinott.

In this paper we present statistical models for text which treat words with higher frequencies of occurrence in a sensible manner, and perform better than widely used models based on the multinomial distribution on a wide range of classification tasks, with two or more classes. Our models are based on the Poisson and Negative-Binomial distributions, which keep desirable properties of simplicity...

Abstract In this paper we consider a new class of asymmetric logistic distribution that contains both the type I and II generalized distributions Balakrishnan Leung (Commun Stat Simul Comput 17(1):25–50, 1988) as its special cases. We investigate some important properties such expressions for mean, variance, characteristic function, measure skewness kurtosis, entropy etc. along with order stati...

The last years have revealed the importance of inverse Lomax distribution in understanding lifetime heavy-tailed phenomena. However, modeling capabilities certain limits that researchers aim to overcome. These include a stiffness modulation peak and tail properties related probability density function. In this paper, solution is given by using functionalities half logistic family. We introduce ...