Bulletin of the Korean Mathematical Society (대한수학회보)
- Volume 45 Issue 3
- /
- Pages.509-522
- /
- 2008
- /
- 1015-8634(pISSN)
- /
- 2234-3016(eISSN)
DOI QR Code
SOME RESULTS RELATED TO DISTRIBUTION FUNCTIONS OF CHI-SQUARE TYPE RANDOM VARIABLES WITH RANDOM DEGREES OF FREEDOM
- Hung, Tran Loc (DEPARTMENT OF MATHEMATICS HUE UNIVERSITY) ;
- Thanh, Tran Thien (DEPARTMENT OF MATHEMATICS HUE UNIVERSITY) ;
- Vu, Bui Quang (DEPARTMENT OF MATHEMATICS HUE UNIVERSITY)
- Published : 2008.08.31
Abstract
The main aim of this paper is to present some results related to asymptotic behavior of distribution functions of random variables of chi-square type
File
References
- W. Feller, An Introduction to Probability Theory and Its Applications, vol II, 2nd edition, John Wiley and Sons, New York, 1971
- N. L. Johnson and S. Kotz, Continuous Univariate Distribution-2, A Wiley-interscience publication, 1970
- R. V. Hogg, J. W. McKean, and A. T. Craig, Introduction to Mathematical Statistics, Sixth Edition, International Edition, 2005
- L. Hung Tran and T. T Tran, Some results on random sum of independent random variables, Submitted to Statistics and Probability Letters, 2007
- L. H. Tran, T. T. Tran, and Q. V. Bui, On distribution function of chi-square with random degrees of freedom, (in vietnamese), to appear in Vietnam Journal of Applied Mathematics, 2007
- E. A. Lebedev, On new properties distributions of mathematical statistics, Probability Theory, Random Processes, Mathematical Statistics and Applications, Proceedings of the Intertional Conference in honor of 70 years Jubilee of Professor, Doctor of Physical and Mathematical Sciences Gennady Medvedev, Minsk February 21-25, 2005, pp. 154-160
- H. Robbins, The asymptotic distribution of the sum of a random number of random variables, Bull. Amer. Math. Soc. 54 (1948), 1151-1161 https://doi.org/10.1090/S0002-9904-1948-09142-X
- Y. B. Shvetsov, Random sum estimators and their efficiency, Technical Report, Department of Mathematical Sciences, Montana State University, 2004, pp.1-20