On the Total Score for a Negative-Binomially Roll of a Truncated Turn-Up Side of (v-u+1) - Sided Die.

Njoku K. C. N.; Okoli O. C.

doi:10.52589/AJMSS-UHOWAJOK

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On the Total Score for a Negative-Binomially Roll of a Truncated Turn-Up Side of (v-u+1) - Sided Die.

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African Journal of Mathematics and Statistics Studies

Vol. 7Issue 32024pp. 233–248Published 26 August 2024

DOI 10.52589/AJMSS-UHOWAJOK

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Abstract:

Let u,v∈N(u<v) and {T(x,y)=p^x q^y:x,y=u,u+1,u+2,u+3,…,v} be a string of sequence of success-failure events constituting the Bernoulli trials, with success p and failure q. Several probability distributions have derived it root from the sequences of this form. However, it is our purpose to introduce a new probability distribution functions that unify some of the existing once generated by sets of this form mentioned in the literature and then give some of the statistics associated with it.

Keywords:Probability mass function geometric random variable independent identically distributed (iid) random variable moments binomial expansion.

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Copyrights

Authors retain copyright in their articles and have unrestricted rights to reuse, republish, archive, share, and distribute their work after publication.
All articles are published open access under the Creative Commons Attribution 4.0 International (CC BY 4.0) licence, which permits use, sharing, adaptation, distribution, and reproduction in any medium or format, including for commercial purposes, provided appropriate credit is given to the original author(s) and source.