The class of tenable zero-balanced Pólya urn schemes: Characterization and Gaussian phases

8th Workshop on Analytic Algorithmics and Combinatorics 2011, ANALCO 2011

Volumn , Issue , 2011, Pages 117-126

  Kholfi, Sanaa ^a   Mahmoud, Hosam M ^a  

^a GEORGE WASHINGTON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATRIX ALGEBRA; NORMAL DISTRIBUTION;

COVARIANCE STRUCTURES; CYCLIC STRUCTURES; GRADUAL CHANGES; INITIAL CONDITIONS; MULTI-VARIATE NORMAL DISTRIBUTIONS; MULTIVARIATE MARTINGALES; NONDEGENERATE; SUFFICIENT AND NECESSARY CONDITION;

COMBINATORIAL MATHEMATICS;

EID: 84959867411     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1137/1.9781611973013.13     Document Type: Conference Paper

References (9)

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2. Chauvin, B., Pouyanne, N. and Sahnoun, R. (2010). Limit distributions for large Pólya urns. The Annals of Applied Probability (to appear).
3. Ehrenfest, P. and Ehrenfest, T. (1907). Über zwei bekannte Einwände gegen das Boltzmannsche H-theorem. Physikalische Zeitschrift, 8, 311-314.
4. Flajolet, P., Gabarró, J. and Pekari, H. (2005). Analytic urns. The Annals of Probability, 33, 1200-1233.
5. Hall, P. and Heyde, C. (1980). Martingale Limit Theory and Its Applications. Academic Press, New York.
6. Janson, S. (2004). Functional limit theorems for multitype branching processes and generalized Pólya urns. Stochastic Processes and Applications, 110, 177-245.
7. Johnson, N. and Kotz, S. (1977). Urn models and Their Applications: An Approach to Modern Discrete Probability Theory. Wiley, New York.
8. Mahmoud, H. (2008). Pólya Urn Models. Chapman-Hall, Boca Raton, Florida.
9. Smythe, R. (1996). Central limit theorems for urn models. Stochastic Processes and Their Applications, 65, 115-137.