Some Identities based on Success Runs of at Least Length k

Sonali Bhattacharya
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Sonali Bhattacharya: Symbiosis Centre for Management and Human Resource Development, (Deemed University), India

Biostatistics and Biometrics Open Access Journal, 2018, vol. 4, issue 2, 39-43

Abstract: In this research paper, an attempt has been made to obtain alternative formulas for distributions of order k based on runs of at least length k. First by using binomial scheme and ‘balls-into-cells’ technique an alternative formula for distribution of binomial distribution of order k as defined by Goldstein [1]. Inverse Bionomial scheme was then used with ‘ball-into-cells technique to obtain alternate distribution of Geometric distribution of order k and negative binomial distribution of order k. The results were further extended to obtain Polya-Eggenberger distribution of order k and Inverse Polya-Eggenberger distributions of order k. All results were verified for exactness of probability.

Keywords: Biometrics Open Access Journal; Biostatistics and Biometrics; Biostatistics and Biometrics Open Access Journal; Open Access Journals; biometrics journal; biometrics articles; biometrics journal reference; biometrics journal impact factor; biometrics and biostatistics journal impact factor; journal of biometrics; open access juniper publishers; juniper publishers reivew (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:adp:jbboaj:v:4:y:2018:i:2:p:39-43

DOI: 10.19080/BBOAJ.2018.04.555634

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