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 one of our previous projects, we wanted to generate 0/1 bits such that 0 (failure) or 1 (success) events are promoted to occur consecutively, forming clusters. Additionally, we also want to be able ...

Abstract: In this paper, we present the analysis of the new transmission algorithm of RFID in form of multichannel which has been developed from frame slotted ALOHA protocol. By using concept of the ...

In this note we give a characterization of Bose-Einstein (B-E) statistics as a compound distribution of Multinomial distribution with Dirichlet distribution. This characterization gives us a method of ...

A two-stage procedure is proposed for the generation of random variates from a multinomial distribution. In the first stage we propose that cell frequencies be generated as random deviates from a ...

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 ...

Different aspects of mathematical finance benefit from the use Hermite polynomials, and this is particularly the case where risk drivers have a Gaussian distribution. They support quick analytical ...