On convergence theorems for quantiles

Communications in Statistics - Theory and Methods

Volumn 30, Issue 5, 2001, Pages 943-955

  González Barrios, Jose M ^a   Rueda, Raúl ^a  

^a IIMAS UNAM   (Mexico)

Author keywords

Central limit theorem; Discrete distributions; Quantiles; Strong law of large numbers

Indexed keywords

EID: 0034896305     PISSN: 03610926     EISSN: None     Source Type: Journal    
DOI: 10.1081/STA-100002268     Document Type: Article

References (7)

1. Fabian, V.; Hannan, J. Introduction to Probability and Mathematical Statistics, Wiley Ser. in Prob. and Math. Statist., New York, 1985.
2. Dudley, R.M. Real Analysis and Probability, Wadsworth & Brooks/Cole, Pacific Grove, Cal., 1989.
3. Takeuchi, Y. Sucesiones y Series, Tomo II, Ed. Limusa, Mexico D. F., 1976.
4. Serfling, R.J. Approximation Theorems of Mathematical Statistics, Wiley Ser. in Prob. and Math. Statist., New York, 1980.
5. Johnson, N.L.; Kotz, S.; Kemp, A.W. Univariate Discrete Distributions, Wiley Ser. in Prob. and Math. Statist., New York, 1992.
6. Smirnov, N. V. Limit Distributions for the Terms of a Variational Series, Amer. Math. Soc., Translation No. 67, 1952.
7. Mizera, I and Wellner, J.A. Necessary and Sufficient Conditions for Weak Consistency of the Median of Independent But Not Identically Distributed Random Variables. Ann. of Statist., 1998 26, No. 2, 672-691.