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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 [수식] with degrees of freedom N, where N
is a positive integer-valued random variable independent on all standard
normally distributed random variables Xi. Two ways for computing the
distribution functions of chi-square type random variables with random
degrees of freedom are considered. Moreover, some tables concerning
considered distribution functions are demonstrated in Appendix
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참고문헌 (8)
참고문헌 신청
E. A. Lebedev / 2005 / On new properties distributions of mathematical statistics, Probability Theory, Random Processes, Mathematical Statistics and Applications / Proceedings of t
H. Robbins / 1948 / The asymptotic distribution of the sum of a random number of random variables / Bulletin of the American Mathematical Society 54 : 1151 ~ 1161
L. H. Tran / 2007 / On distribution function of chi-square with random degrees of freedom / Journal of Applied Mathematics
L. Hung Tran / 2007 / Some results on random sum of independent random variables / Statistics and Probability Letters
N. L. Johnson / 1970 / Continuous Univariate Distribution-2 / A Wiley-interscience publication
H. Robbins / 1948 / The asymptotic distribution of the sum of a random number of random variables / Bulletin of the American Mathematical Society 54 : 1151 ~ 1161
L. H. Tran / 2007 / On distribution function of chi-square with random degrees of freedom / Journal of Applied Mathematics
L. Hung Tran / 2007 / Some results on random sum of independent random variables / Statistics and Probability Letters
N. L. Johnson / 1970 / Continuous Univariate Distribution-2 / A Wiley-interscience publication
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