On the rate of convergence of the laws of Markov chains associated with orthogonal polynomials

Journal of Computational and Applied Mathematics

Volumn 99, Issue 1-2, 1998, Pages 287-297

  Lindlbauer, Marc ^a  

^a INSTITUTE OF EPIDEMIOLOGY   (Germany)

Author keywords

Limit theorems; Orthogonal polynomials; Random walks

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; GRAPH THEORY; POLYNOMIALS; PROBABILITY DISTRIBUTIONS;

BERNSTEIN-SZEGOE POLYNOMIALS; CHEBYCHEV POLYNOMIALS; DISTANCE TRANSITIVE GRAPHS; ORTHOGONAL POLYNOMIALS; RANDOM WALKS;

RANDOM PROCESSES;

EID: 0032207974     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(98)00163-0     Document Type: Article

References (11)

1. R. Askey, J.A. Wilson, Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials, Mem. Amer. Math. Soc. 54 (319) (1985).
2. T.S. Chihara, An introduction to orthogonal polynomials, Mathematics and its Applications, vol. 13, Gordon and Breach, New York, 1978.
3. W. Feller, An Introduction to Probability Theory and its Applications, vol. II, 2nd ed., Wiley, New York, 1971.
4. L. Gallardo, Comportement asymptotique des marches aléatoires associées aux polynômes de Gegenbauer et applications, Adv. Appl. Probab. 16 (2) (1984) 293-323.
5. H. Heuser, Lehrbuch der Analysis, Teubner, Stuttgart, 1981.
6. R.I. Jewett, Spaces with an abstract convolution of measures, Adv. Math. 18 (1975) 1-101.
7. R. Lasser, Orthogonal polynomials and hypergroups, Rend. Math. Appl. 2 (1983) 185-209.
8. H.D. Macpherson, Infinite distance transitive graphs of finite valency, Combinatorica 2 (1) (1982) 63-69.
9. 0 that are associated with orthogonal polynomials, J. Multivariate Anal. 34 (2) (1990) 290-322.
10. M. Voit, Central limit theorems for a class of polynomial hypergroups, Adv. in Appl. Probab. 22 (1990) 68-87.
11. H.M. Zeuner, Polynomial hypergroups in several variables, Arch. Math. (Basel) 58 (1992) 425-434.