Generalizations of Distributions Related to ($k_1,k_2$)-runs
Probability
2020-07-16 v2
Abstract
The paper deals with three generalized dependent setups arising from a sequence of Bernoulli trials. Various distributional properties, such as probability generating function, probability mass function and moments are discussed for these setups and their waiting time. Also, explicit forms of probability generating function and probability mass function are obtained. Finally, two applications to demonstrate the relevance of the results are given.
Keywords
Cite
@article{arxiv.1707.08367,
title = {Generalizations of Distributions Related to ($k_1,k_2$)-runs},
author = {A. N. Kumar and N. S. Upadhye},
journal= {arXiv preprint arXiv:1707.08367},
year = {2020}
}
Comments
15 pages