Skip to main content
Log in

Bivariate distributions via a Pareto conditional distribution and a regression function

  • Distributions
  • Published:
Annals of the Institute of Statistical Mathematics Aims and scope Submit manuscript

Abstract

Uniqueness of specification of a bivariate distribution by a Pareto conditional and a consistent regression function is investigated. New characterizations of the Mardia bivariate Pareto distribution and the bivariate Pareto conditionals distribution are obtained.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Ahsanullah, M. and Wesolowski, J. (1993). Bivariate normality via Gaussian conditional structure (preprint).

  • Arnold, B. C. (1987). Bivariate distributions with Pareto conditionals,Statist. Probab. Lett.,5, 263–266.

    Google Scholar 

  • Arnold, B. C. and Pourahmadi, M. (1988). Conditional characterizations of multivariate distributions,Metrika,35, 99–108.

    Google Scholar 

  • Arnold, B. C., Castillo, E. and Sarabia, J. M. (1992). Conditionally specified distributions,Lecture Notes in Statist.,73, Springer, Berlin.

    Google Scholar 

  • Arnold, B. C., Castillo, E. and Sarabia, J. M. (1993a). Conditionally specified models: structure and inference,Multivariate Analysis: Fulture Directions 2 (eds. C. M. Cuadras and C. R. Rao), 441–450, North Holland Series in Statistics and Applied Probability,7, Elsevier Science B. V., Amsterdam.

    Google Scholar 

  • Arnold, B. C., Castillo, E. and Sarabia, J. M. (1993b). Multivariate distributions with generalized Pareto conditionals,Statist. Probab. Lett.,17, 361–368.

    Google Scholar 

  • Cacoullos, T. and Papageorgiou, H. (1983). Characterizations of discrete distributions by a conditional distribution and a regression function,Ann. Inst. Statist. Math.,35, 95–103.

    Google Scholar 

  • Castillo, E. and Sarabia, J. M. (1990). Bivariate distributions with second kind beta conditionals,Comm. Statist. Theory Methods,19(9), 3433–3445.

    Google Scholar 

  • Johnson, N. L. and Kotz, S. (1992). Non-existence of certain polynomial regression in random sum theory,Sankhyã, Ser. A,54, 455–459.

    Google Scholar 

  • Korwar, R. M. (1975). On characterizing some discrete distributions by linear regression,Comm. Statist.,4, 1133–1147.

    Google Scholar 

  • Kyriakoussis, A. (1988). Characterization of bivariate discrete distributions,Sankhyã, Ser. A,50, 286–287.

    Google Scholar 

  • Kyriakoussis, A. and Papageorgiou, H. (1991). Characterizations of logarithmic series distributions,Statist. Neerlandica,45, 1–8.

    Google Scholar 

  • Mardia, K. V. (1962). Multivariate Pareto distributions,Ann. Math. Statist.,33, 1008–1015.

    Google Scholar 

  • Papageorgiou, H. (1985). On characterizing some discrete distributions by a conditional distributions and a regression function,Biometrical J.,27, 473–479.

    Google Scholar 

  • Wesolowski, J. (1993a). Bivariate discrete measures via a power series conditional distribution and a regression function (preprint).

  • Wesolowski, J. (1993b). A new conditional specification of the bivariate Poisson conditionals distribution,Statist. Neerlandica (to appear).

  • Wesolowski, J. and Ahsanullah, M. (1994). Conditional specifications of multivariate Pareto and Student distributions (preprint).

Download references

Author information

Authors and Affiliations

Authors

About this article

Cite this article

Wesolowski, J. Bivariate distributions via a Pareto conditional distribution and a regression function. Ann Inst Stat Math 47, 177–183 (1995). https://doi.org/10.1007/BF00773422

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00773422

Key words and phrases

Navigation