Generalizations of distributions related to ( $$k_1,k_2$$ k 1, k 2 )-runs

A. N. Kumar () and N. S. Upadhye ()
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A. N. Kumar: Indian Institute of Technology Madras
N. S. Upadhye: Indian Institute of Technology Madras

Metrika: International Journal for Theoretical and Applied Statistics, 2019, vol. 82, issue 2, No 6, 249-268

Abstract: 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: ( $$k_1; k_2$$ k 1; k 2 )-runs; Waiting time; Probability generating function; Probability mass function; Moments; Markov dependent trials; Primary 60E05; 62E15; Secondary 60C05; 60E10 (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s00184-018-0668-x

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