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Abstract: Several new asymptotic estimates (with precise error bounds) are derived for Poisson and binomial distributions as the parameters tend to infinity. The analytic methods used are also applicable to other discrete distribution functions. (Update)
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.... min 1; m Gamma h oe Since the different asymptotic behaviors of the Poisson distribution function P(Y m) are well known (cf. [55, 59] or (16) the choice of P(Y m) as a basic asymptotic approximant is also of practical value. 2.1 Lemmas In this section, we derive some useful...
...of the estimate (3) for the right tail is similar (by defining r : n k) k 1) and omitted here. For more precise estimates, see [18]. 2.2 Binomial recurrence We study in this section the binomial recurrence 1) 4) with # 0 = # 0 = 0. Such a recurrence arises often in...
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BibTeX entry: (Update)
H.-K. Hwang, Asymptotic estimates of elementary probability distributions, Studies in Applied Mathematics, 99 ( http://citeseer.ist.psu.edu/article/hwang96asymptotic.html More
@misc{ hwang-asymptotic,
author = "H. Hwang",
title = "Asymptotic estimates of elementary probability distributions",
text = "H.-K. Hwang, Asymptotic estimates of elementary probability distributions,
Studies in Applied Mathematics, 99 (",
url = "citeseer.ist.psu.edu/article/hwang96asymptotic.html" }
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