A new multivariate inverse polya distribution of order k

Communications in Statistics - Theory and Methods

Volumn 26, Issue 1, 1997, Pages 149-158

  Tripsiannis, Gregory A ^a   Philippou, Andreas N ^b  

^a DEMOCRITUS UNIVERSITY OF THRACE   (Greece)

^b UNIVERSITY OF PATRAS   (Greece)

Author keywords

Dirichlet; Inverse hypergeometric; Limiting cases; Mean; variance covariance; Multivariate distribution of order k; Negative binomial; Negative inverse hypergeometric; Poisson; Type I

Indexed keywords

GEOMETRY; INVERSE PROBLEMS; POLYNOMIALS; STATISTICAL METHODS;

DIRICHLET; HYPERGEOMETRIC; LIMITING CASES; MEAN; MULTIVARIATE INVERSE POLYA DISTRIBUTION; NEGATIVE BINOMIAL; NEGATIVE INVERSE HYPERGEOMETRIC; POISSON; VARIANCE COVARIANCE;

PROBABILITY;

EID: 0031380285     PISSN: 03610926     EISSN: None     Source Type: Journal    
DOI: 10.1080/03610929708831907     Document Type: Article

References (11)

1. Janardan, K.G. (1973). "Chance mechanisms for multivariate hypergeometric models," Sankhya, 35A, 465-478.
2. Johnson, N.L. and Kotz, S. (1977). Urn Models and their Applications, John Wiley and Sons, New York.
3. Ling, K.D. (1988). "On discrete distributions of order k defined on Polya-Eggenberger urn model, "Soochow Journal of Mathematics, Vol. 14, 199-210.
4. Mosimann, J.E. (1963). "On the compound negative multinomial distribution and correlations among inverely sample pollen counts," Biometrika, 50, 47-54.
5. Panaretos, J. and Xekalaki, E. (1986). "On some distributions arising from certain generalized sampling schemes," Communications in Statistics-Theory and Methods, 15, 873-891.
6. Patil, G.R., Boswell, M.T., Joshi, S.W. and M.V. Ratnaparkhi. (1984) .Dictionary and Classified Bibliography of Statistical Distributions in Scientific Work, Vol. 1, International Cooperative Publishing House, Fairland.
7. Philippou, A.N. and Muwafi, A.A. (1982). "Waiting for the kth consecutive success and the Fibonacci sequence of order k," The Fibonacci Quarterly, 20, 28-32.
8. Philippou, A.N. and Tripsiannis, G.A., (1991). "Multivariate Polya and inverse Polya distributions of order k," Biometrical Journal, 33, 225-236.
9. Philippou, A.N., Antzoulakos, D.L. and Tripsiannis, G.A., (1988). "Multivariate distributions of order k," Statistics and Probility Letters, 7, 207-216.
10. Philippou, A.N., Georghiou, C. and Philippou, G.N., (1983). "A generalized geometric distribution and some of its properties," Statistics and Probability Letters, 1, 171-175.
11. Philippou, A.N., Tripsiannis, G.A. and Antzoulakos, D.L., (1989). "New Polya and inverse Polya distributions of order k," Communications in Statistics-Theory and Methods, 18, 2125-2137.