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DISCRETE DISTRIBUTIONS CONNECTED WITH THE BIVARIATE BINOMIAL

Yıl 2010, Cilt: 39 Sayı: 1, 109 - 120, 01.01.2010

Öz

Kaynakça

  • Aitken, A. C. and Gonin, H. T. On fourfold sampling with and without replacement, Proc. Roy. Soc. Edinburgh 55, 114–125, 1935.
  • Bairamov I. and Kotz. S. On local dependence function for multivariate distributions, New Trends in Probability and Statistics 5, 27–44, 2000.
  • Bairamov I. G., Kotz S. and Kozubowski T. A new measure on linear local dependence, Statistics, 37 (3), 243–258, 2003.
  • Biswasa, A. and Hwang, J. S. A new bivariate binomial distribution, Statistics and Proba- bility Letters 60, 231–240, 2002.
  • Bjerve, S. and Doksum, K. Correlation curves: measures of association as functions of covariate values, Ann. Statist. 21, 890–902, 1993.
  • Chandrasekar, B. and Balakrishnan N. Some properties and a characterization of trivariate and multivariate binomial distributions, Statistics 36, 211–218, 2002.
  • David H. A. Concomitant of order statistics, Theory and Application, in: Krishnaiah, P, R., Sen, P. K. (Eds.) (Handbook of Statistics 4, North-Holland, Amsterdam, 1993), 383–403.
  • Doss, D. C. and Graham, R. C. A characterization of multinomial bivariate distribution by univariate marginals, Bull. Calcutta Statist. Assoc. 24, 93–99, 1975.
  • Eryilmaz, S. and Bairamov, I. G. On a new sample rank of an order statistic and its con- comitant, Statist. Probab. Lett. 63, 123–131, 2003.
  • Hamdan, M. A. Canonical expansions of the bivariate binomial distribution with unequal marginal indices, Int. Statist. Rev. 40, 277–280, 1972.
  • Hamdan, M. A. A note on the trinomial distribution, Int. Statist. Rev. 43, 219–220, 1975.
  • Hamdan, M. A. and Al-Bayati, H. A. A note on the bivariate Poisson distribution, Amer. Statist. 23, 32–33, 1969.
  • Hamdan, M. A. and Jensen, D. R. A bivariate binomial distribution and some applications, Austral. J. Statist. 18, 163–169, 1976.
  • Jones M. C. The local dependence function, Biometrika 83, 899–904, 1996.
  • Johnson N. L., Kotz S. and Balakrishnan N. Discrete Multivariate Distributions (John Wiley & Sons, New York, 1997).
  • Kocherlakota, S. and Kocherlakota, K. Bivariate Discrete Distributions (Marcel Dekker, New York, 1992).
  • Krishnamoorthy, A. S. Multivariate Poisson and binomial distributions, Sankhya 11, 117– , 1951.
  • Kotz, S. and Nadarajah, S. Local dependence functions for the elliptically symmetric dis- tributions, Sankhya 65 (1), 207–223, 2003.
  • Papageorgiou, H. and David, K. M. On countable mixtures of bivariate binomial distribu- tions, Biom. J. 36, 581–601, 1994.
  • Papageorgiou, H. and David, K. M. The structure of compounded trivariate binomial distri- butions, Biom. J. 37, 81–95, 1995.
  • Shanbhag, D. N. and Basawa, I. V. (1974). On a characterization property of multinomial distribution, Trab. Estad. 25, 109–112, 1974.
  • Voinov, V. and Nikulin, M. Unbiased Estimators and their Applications 2: Multivariate case(Kluwer, 1996).
  • Voinov, V., Nikulin, M. and Smirnov, T. Multivariate discrete distributions induced by an urn scheme, linear diophantine equations, unbiased estimating and testing, J. Statist. Plann. Inference 101 (1-2), 255–266, 2002.

DISCRETE DISTRIBUTIONS CONNECTED WITH THE BIVARIATE BINOMIAL

Yıl 2010, Cilt: 39 Sayı: 1, 109 - 120, 01.01.2010

Öz

A new class of multivariate discrete distributions with binomial and multinomial marginals is studied. This class of distributions is obtained in a natural manner using probabilistic properties of the sampling model considered. Some possible applications in game theory, life testing and exceedance models for order statistics are discussed.

Kaynakça

  • Aitken, A. C. and Gonin, H. T. On fourfold sampling with and without replacement, Proc. Roy. Soc. Edinburgh 55, 114–125, 1935.
  • Bairamov I. and Kotz. S. On local dependence function for multivariate distributions, New Trends in Probability and Statistics 5, 27–44, 2000.
  • Bairamov I. G., Kotz S. and Kozubowski T. A new measure on linear local dependence, Statistics, 37 (3), 243–258, 2003.
  • Biswasa, A. and Hwang, J. S. A new bivariate binomial distribution, Statistics and Proba- bility Letters 60, 231–240, 2002.
  • Bjerve, S. and Doksum, K. Correlation curves: measures of association as functions of covariate values, Ann. Statist. 21, 890–902, 1993.
  • Chandrasekar, B. and Balakrishnan N. Some properties and a characterization of trivariate and multivariate binomial distributions, Statistics 36, 211–218, 2002.
  • David H. A. Concomitant of order statistics, Theory and Application, in: Krishnaiah, P, R., Sen, P. K. (Eds.) (Handbook of Statistics 4, North-Holland, Amsterdam, 1993), 383–403.
  • Doss, D. C. and Graham, R. C. A characterization of multinomial bivariate distribution by univariate marginals, Bull. Calcutta Statist. Assoc. 24, 93–99, 1975.
  • Eryilmaz, S. and Bairamov, I. G. On a new sample rank of an order statistic and its con- comitant, Statist. Probab. Lett. 63, 123–131, 2003.
  • Hamdan, M. A. Canonical expansions of the bivariate binomial distribution with unequal marginal indices, Int. Statist. Rev. 40, 277–280, 1972.
  • Hamdan, M. A. A note on the trinomial distribution, Int. Statist. Rev. 43, 219–220, 1975.
  • Hamdan, M. A. and Al-Bayati, H. A. A note on the bivariate Poisson distribution, Amer. Statist. 23, 32–33, 1969.
  • Hamdan, M. A. and Jensen, D. R. A bivariate binomial distribution and some applications, Austral. J. Statist. 18, 163–169, 1976.
  • Jones M. C. The local dependence function, Biometrika 83, 899–904, 1996.
  • Johnson N. L., Kotz S. and Balakrishnan N. Discrete Multivariate Distributions (John Wiley & Sons, New York, 1997).
  • Kocherlakota, S. and Kocherlakota, K. Bivariate Discrete Distributions (Marcel Dekker, New York, 1992).
  • Krishnamoorthy, A. S. Multivariate Poisson and binomial distributions, Sankhya 11, 117– , 1951.
  • Kotz, S. and Nadarajah, S. Local dependence functions for the elliptically symmetric dis- tributions, Sankhya 65 (1), 207–223, 2003.
  • Papageorgiou, H. and David, K. M. On countable mixtures of bivariate binomial distribu- tions, Biom. J. 36, 581–601, 1994.
  • Papageorgiou, H. and David, K. M. The structure of compounded trivariate binomial distri- butions, Biom. J. 37, 81–95, 1995.
  • Shanbhag, D. N. and Basawa, I. V. (1974). On a characterization property of multinomial distribution, Trab. Estad. 25, 109–112, 1974.
  • Voinov, V. and Nikulin, M. Unbiased Estimators and their Applications 2: Multivariate case(Kluwer, 1996).
  • Voinov, V., Nikulin, M. and Smirnov, T. Multivariate discrete distributions induced by an urn scheme, linear diophantine equations, unbiased estimating and testing, J. Statist. Plann. Inference 101 (1-2), 255–266, 2002.
Toplam 23 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular İstatistik
Bölüm Matematik
Yazarlar

İ. Bairamov Bu kişi benim

O. Elmastas Gultekin Bu kişi benim

Yayımlanma Tarihi 1 Ocak 2010
Yayımlandığı Sayı Yıl 2010 Cilt: 39 Sayı: 1

Kaynak Göster

APA Bairamov, İ., & Gultekin, O. E. (2010). DISCRETE DISTRIBUTIONS CONNECTED WITH THE BIVARIATE BINOMIAL. Hacettepe Journal of Mathematics and Statistics, 39(1), 109-120.
AMA Bairamov İ, Gultekin OE. DISCRETE DISTRIBUTIONS CONNECTED WITH THE BIVARIATE BINOMIAL. Hacettepe Journal of Mathematics and Statistics. Ocak 2010;39(1):109-120.
Chicago Bairamov, İ., ve O. Elmastas Gultekin. “DISCRETE DISTRIBUTIONS CONNECTED WITH THE BIVARIATE BINOMIAL”. Hacettepe Journal of Mathematics and Statistics 39, sy. 1 (Ocak 2010): 109-20.
EndNote Bairamov İ, Gultekin OE (01 Ocak 2010) DISCRETE DISTRIBUTIONS CONNECTED WITH THE BIVARIATE BINOMIAL. Hacettepe Journal of Mathematics and Statistics 39 1 109–120.
IEEE İ. Bairamov ve O. E. Gultekin, “DISCRETE DISTRIBUTIONS CONNECTED WITH THE BIVARIATE BINOMIAL”, Hacettepe Journal of Mathematics and Statistics, c. 39, sy. 1, ss. 109–120, 2010.
ISNAD Bairamov, İ. - Gultekin, O. Elmastas. “DISCRETE DISTRIBUTIONS CONNECTED WITH THE BIVARIATE BINOMIAL”. Hacettepe Journal of Mathematics and Statistics 39/1 (Ocak 2010), 109-120.
JAMA Bairamov İ, Gultekin OE. DISCRETE DISTRIBUTIONS CONNECTED WITH THE BIVARIATE BINOMIAL. Hacettepe Journal of Mathematics and Statistics. 2010;39:109–120.
MLA Bairamov, İ. ve O. Elmastas Gultekin. “DISCRETE DISTRIBUTIONS CONNECTED WITH THE BIVARIATE BINOMIAL”. Hacettepe Journal of Mathematics and Statistics, c. 39, sy. 1, 2010, ss. 109-20.
Vancouver Bairamov İ, Gultekin OE. DISCRETE DISTRIBUTIONS CONNECTED WITH THE BIVARIATE BINOMIAL. Hacettepe Journal of Mathematics and Statistics. 2010;39(1):109-20.