A Bivariate Binomial Distribution

S. R. Supanekar¹

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.5 , pp.60-64, Oct-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i5.6064

Online published on Oct 31, 2018

Copyright © S. R. Supanekar . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
In this paper, we introduce a bivariate binomial distribution that allows positive, zero or negative correlation between two variables which depends on multiplicative factor parameter. The marginal distributions of the bivariate binomial distribution are the univariate binomial distributions. Moment estimators and maximum likelihood estimators of parameters involved in this distribution are discussed. Sample observations are simulated from bivariate binomial distribution using the conditional distribution technique and test of the goodness of fit is carried out.

Key-Words / Index Term :
Bivariate binomial distribution; Maximum likelihood estimation; Test of the goonness of fit

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