Roll an unbiased die twice, note which face turns up each time a die is rolled. Calculate the probability distribution of a face with number one. Counting the total and favorable numbers of outcomes ...

Here, we provide a self-explained R code (SDM-Simulations.R) for repoduce all the results presented in our manuscript. randomized_single_species_distribution.rds - the results of numeric simulation – ...

Recall the ways can a person walk from corner X to another corner by a path of shortest length is $\dbinom{n}{r}$ where n is the total number of blocks walked and r is the number of East blocks. If E ...

In this paper we derive explicit expressions for the elements of the exact Fisher information matrix of the Dirichlet-multinomial distribution. We show that exact calculation is based on the ...

Bivariate multinomial data such as the left and right eyes retinopathy status data are analyzed either by using a joint bivariate probability model or by exploiting certain odds ratio-based ...

Abstract: The purpose of this study is to derive an upper-bound and a lower-bound of the entropy of a multinomial distribution. In spite of its practicality and versatility, there is no closed-form ...

ABSTRACT: This contribution deals with a generative approach for the analysis of textual data. Instead of creating heuristic rules forthe representation of documents and word counts, we employ a ...