A form of bivariate binomial conditionals distributions

References

• Arnold, B. C., E. Castillo, and J. M. Sarabia. 1999. Conditional specification of statistical models. New York: Springer.
   Google Scholar
• Arnold, B. C., and D. J. Strauss. 1991. Bivariate distributions with conditionals in prescribed exponential families. Journal of the Royal Statistical Society: Series B (Methodological) 53 (2):365–75. doi:10.1111/j.2517-6161.1991.tb01829.x.
   Google Scholar
• Arbous, A. G., and J. E. Kerrich. 1951. Accident statistics and the concept of accident-proneness. Biometrics 7 (4):340. doi:10.2307/3001656.
   Web of Science ®Google Scholar
• Becker, N. G., and S. Utev. 2002. Multivariate discrete distributions with a product-type dependence. Journal of Multivariate Analysis 83 (2):509–24. doi:10.1006/jmva.2001.2061.
   Web of Science ®Google Scholar
• Biswas, A., and J.-S. Hwang. 2002. A new bivariate binomial distribution. Statistics & Probability Letters 60 (2):231–40. doi:10.1016/S0167-7152(02)00323-1.
   Web of Science ®Google Scholar
• Carriere, J. F., and L. K. Chan. 1986. The bounds of bivariate distributions that limit the value of last-survivor annuities. Transactions of the Society of Actuaries 38 (1):51–74.
   Google Scholar
• Crowder, M., and T. Sweeting. 1989. Bayesian inference for a bivariate binomial distribution. Biometrika 76 (3):599–603. doi:10.1093/biomet/76.3.599.
   Web of Science ®Google Scholar
• Dhaene, J., and M. J. Goovaerts. 1996. Dependency of risks and stop-loss order. ASTIN Bulletin 26 (2):201–12. doi:10.2143/AST.26.2.563219.
   Google Scholar
• Gelfand, A. E. 2000. Gibbs sampling. Journal of the American Statistical Association 95 (452):1300–4. doi:10.1080/01621459.2000.10474335.
   Web of Science ®Google Scholar
• Ghosh, I., F. Marques, and S. Chakraborty. 2021. A new bivariate Poisson distribution via conditional specification: properties and applications. Journal of Applied Statistics 48 (16):3025–47. doi:10.1080/02664763.2020.1793307. 35707254
   PubMed Web of Science ®Google Scholar
• Hamdan, M. A., and D. R. Jensen. 1976. A bivariate binomial distribution and some applications 1. Australian Journal of Statistics 18 (3):163–9. doi:10.1111/j.1467-842X.1976.tb01292.x.
   Google Scholar
• Hamdan, M. A., and C. P. Tsokos. 1971. A model for physical and biological problems: The bivariate-compounded Poisson distribution. Revue De L’institut International De Statistique / Review of the International Statistical Institute 39 (1):60. doi:10.2307/1402230.
   Google Scholar
• Johnson, N. L., S. Kotz, and N. Balakrishnan. 1997. Discrete multivariate distributions. New York: John Wiley & Sons.
   Google Scholar
• Kocherlakota, S., and K. Kocherlakota. 1992. Bivariate discrete distributions. New York: Marcel Dekker.
   Google Scholar
• Krishna, H., and P. S. Pundir. 2009. A bivariate geometric distribution with applications to reliability. Communications in Statistics - Theory and Methods 38 (7):1079–93. doi:10.1080/03610920802364096.
   Web of Science ®Google Scholar
• Lakshminarayana, J., S. N. N. Pandit, and K. Srinivasa Rao. 1999. On a bivariate poisson distribution. Communications in Statistics - Theory and Methods 28 (2):267–76. doi:doi:10.1080/03610929908832297.
   Web of Science ®Google Scholar
• Le, C. T. 1984. A symmetric bivariate binomial distribution and its application to the analysis of clustered samples in medical research. Biometrical Journal 26 (3):289–94. doi:10.1002/bimj.4710260312.
   Web of Science ®Google Scholar
• Lehmann, E. L., and G. Casella. 2006. Theory of point estimation. New York: Springer Verlag.
   Google Scholar
• Ling, K. D., and T. H. Tai. 1989. On bivariate binomial distributions of order k. Soochow Journal of Mathematics 16:211–20.
   Google Scholar
• Mishra, A., and S. K. Singh. 1996. Moments of a quasi-binomial distribution. Progress of Mathematics 30:59–67.
   Google Scholar
• Mosler, K., and M. Scarsini. 1991. Some theory of stochastic dominance. In Lecture Notes-Monograph Series, 261–84. JSTOR.
   Google Scholar
• Papageorgiou, H., and K. M. David. 1994. On countable mixtures of bivariate binomial distributions. Biometrical Journal 36 (5):581–601. doi:10.1002/bimj.4710360510.
   Web of Science ®Google Scholar
• Rao, S. 1990. Experimental studies on the yield of groundnuts in coastal region. Technical Report, Andhra University, Visakhapatnam.
   Google Scholar
• Shaked, M., and J. G. Shanthikumar. 1994. Stochastic orders and their applications. New York: Academic Press.
   Google Scholar
• Wagner, W. 2011. Characteristics of bivariate binomial distribution. Acta Universitatis Lodziensis, Folia Oeconomica 255:147–57.
   Google Scholar