461
Views
2
CrossRef citations to date
0
Altmetric
General

On a Simple Construction of a Bivariate Probability Function With a Common Marginal

Pages 170-173 | Received 01 Jun 2013, Published online: 11 Aug 2014

REFERENCES

  • Aoudia, D., Marchand, E., Perron, F., Slimene, L. (2014), On Runs, Bivariate Poisson Mixtures and Distributions That Arise in Bernoulli Arrays, Electronic Communications in Probability, 19, 1–12.
  • Genest, C., and Nešlehová, J. (2007), A Primer on Copulas for Count Data, The Astin Bulletin, 37, 475–515.
  • Johnson, N.L., Kemp, A.W., and Kotz, S. (2005), Univariate Discrete Distributions (3rd ed.), New York: Wiley.
  • Johnson, N.L., Kotz, S., and Balakrishnan, N. (2005), Discrete Multivariate Distributions, New York: Wiley.
  • Karlis, D., Xekalaki, E. (2005), Mixed Poisson Distributions, International Statistical Review, 73, 35–58.
  • Kocherlakota, S., and Kocherlakota, K. (1992), Bivariate Discrete Distributions, New York: Marcel Dekker.
  • Lai, C.D. (2006), “Construction of Discrete Bivariate Distributions,” in Advances in Distribution Theory, Order Statistics, and Inference, eds. N. Balakrishnan, E. Castillo and J. M. Sarabia, Boston, MA: Birkhäuser, pp. 29–58.
  • Laurent, S. (2012), Some Poisson Mixtures Distributions With a Hyperscale Parameter, Brazilian Journal of Probability and Statistics, 26, 265–278.
  • Laurent, S., Legrand, C. (2012), A Bayesian Framework for the Ratio of Two Poisson Rates in the Context of Vaccine Efficacy Trials, ESAIM: Probability and Statistics, 16, 375–398.
  • Nelsen, R.B. (1987), Discrete Bivariate Distributions With Given Marginals and Correlation, Communications in Statistics: Simulation and Computation, 16, 199–208.
  • Panagiotelis, A., Czado, C., Joe, H. (2012), Pair Copula Constructions for Multivariate Discrete Data, Journal of the American Statistical Association, 107, 1063–1072.
  • Piperigou, V.E. (2009), Discrete Distributions in the Extended FGM Family: The p.g.f. Approach, Journal of Statistical Planning and Inference, 139, 3891–3899.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.