[1]
|
H. Mahmoud, “Polya Urn Models,” Chapman & Hall/ CRC Texts in Statistical Science, 2008.
|
[2]
|
N. L. Johnson and S. Kotz, “Urn Models and Their Application,” John Wiley & Sons, New York, 1977.
|
[3]
|
F. Eggenberger and G. Pólya, “über Die Statistik Verketetter Vorg?ge,” Journal of Applied Mathematics and Mechanics, Vol. 3, No. 4, 1923, pp. 279-289.
doi:10.1002/zamm.19230030407
|
[4]
|
B. Friedman, “A Simple Urn Model,” Communications on Pure and Applied Mathematics, Vol. 2, No. 1, 1949, pp. 59-70. doi:10.1002/cpa.3160020103
|
[5]
|
B. Hill, D. Lane and W. Sudderth, “A Strong Law for Some Generalized Urn Process,” Annals of Probablity, Vol. 8, No. 2, 1980, pp. 214-226.
doi:10.1214/aop/1176994772
|
[6]
|
R. Pemantle, “A Time-Dependent Version of Pòlya’s Urn,” Journal of Theoretical Probability, Vol. 3, No. 4, 1990, pp. 627-637. doi:10.1007/BF01046101
|
[7]
|
R. Gouet, “A Martingale Approach to Strong Convergence in a Generalized Pólya-Eggenberger Urn Model,” Statistics & Probability Letters, Vol. 8, No. 3, 1993, pp. 225-228. doi:10.1016/0167-7152(89)90126-0
|
[8]
|
S. Kotz, H. Mahmoud and P. Robert, “On Generalized Pólya Urn Models,” Statistics & Probability Letters, Vol. 49, No. 2, 2000, pp. 163-173.
doi:10.1016/S0167-7152(00)00045-6
|
[9]
|
A. Paganoni and P. Secchi, “A Numerical Study for Comparing Two Response-Adaptive Designs for Continuous Treatment Effects,” Statistical Methods and Applications, Vol. 16, No. 3, 2007, pp. 321-346.
doi:10.1007/s10260-006-0042-4
|
[10]
|
C. May, A. Paganoni and P. Secchi, “On a Two Color Generalized Pólya Urn,” Metron, Vol. 63, 2005, pp. 115-134.
|
[11]
|
M. Chen and C. Wei, “A New Urn Model,” Journal of Applied Probability, Vol. 42, No. 4, 2005, pp. 964-976.
doi:10.1239/jap/1134587809
|
[12]
|
P. Flajolet, H. Gabbaroó and H. Pekari, “Analytic Urns,” Annals of Probability, Vol. 33, No. 3, 2005, pp. 1200-1233. doi:10.1214/009117905000000026
|
[13]
|
P. Muliere, A. Paganoni and P. Secchi, “A Randomly Reinforced Urn,” Journal of Statistical Planning and Inference, Vol. 136, No. 6, 2006, pp. 1853-1874.
doi:10.1016/j.jspi.2005.08.009
|
[14]
|
C. May and N. Flournoy, “Asymptotics in Response-Adaptive Designs Generated by a Two-Color, Randomly Reinforced Urn,” Annals of Statistics, Vol. 32, 2010, pp. 1058-1078.
|
[15]
|
P. Hall and C. Heyde, “Martingale Limit Theory and Its Applications,” Academic Press, New York, 1980.
|
[16]
|
J. F. C. Kingman, “Uses of Exchangeability,” Annals of Probability, Vol. 6, No. 2, 1978, pp. 183-197.
doi:10.1214/aop/1176995566
|
[17]
|
D. Aldous, “Exchangeability and Related Topics,” école d’été de Probabilités de Saint-Flour, XIII-1983, Lecture Notes in Math 1117, Springer, Berlin, 1985.
|
[18]
|
F. Hu and W. F. Rosenberger, “The Theory of Response- Adaptive Randomization in Clinical Trials,” John Wiley and Sons, Hoboken, 2006.
|