Hsien-Kuei Hwang  Home/Search
Context Related
| sinica.edu.tw/counter.asp?pape...pd.pdf Cached: PS.gz PS PDF This document uses CoBlitz to cache paper downloads. If your firewall is blocking outgoing connections to port 3125, you can use these links to download local copies.
Image Update HelpPS.gz PS PDF From: sinica.edu.tw/ (more) (Enter author homepages) |
Rate this article:      (best)Comment on this article |
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)
Context of citations to this paper: More
.... 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...
Cited by: More
Asymptotics of Poisson approximation to random discrete.. - Hwang (1998) (Correct)
Analysis in Distribution of Two Randomized Algorithms for Finding.. - Chen (2002) (Correct)
Phase Changes in Random Recursive Structures and Algorithms - Hwang (2002) (Correct)
Similar documents (at the sentence level):
37.4%: Asymptotic Estimates of Elementary Probability Distributions - Hwang (1996) (Correct)
Active bibliography (related documents): More All
1.5: Uniform Asymptotic Expansions of Integrals: A Selection of Problems - Temme (1995) (Correct)
0.8: A Poisson * geometric convolution law for the number of components .. - Hwang (1995) (Correct)
0.8: A Poisson * negative binomial convolution law for random.. - Hwang (1998) (Correct)
Similar documents based on text: More All
0.2: Entropy Computations Via Analytic Depoissonization - Jacquet, Szpankowski (1998) (Correct)
0.2: Asymptotic Estimates for Oscillatory Integral Operators - Comech (1997) (Correct)
0.1: Normal Approximations of the Number of Records in.. - Bai, Hwang, Liang (1998) (Correct)
Related documents from co-citation: More All
6: Probability Approximations via the Poisson Clumping Heuristic - Aldous - 1989
6: Singularity Analysis of Generating Functions (context) - Flajolet, Odlyzko - 1990
6: Central and local limit theorems applied to asymptotic enumeration (context) - Bender - 1973
BibTeX entry: (Update)
H.-K. Hwang, Asymptotic estimates of elementary probability distributions, Studies in Applied Mathematics, 99 ( http://citeseer.ist.psu.edu/587805.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/587805.html" }
Citations (may not include all citations):110 Ramanujan's notebooks (context) - Berndt - 1985
98 Asymptotics and special functions (context) - Olver - 1974
82 Higher transcendental functions (context) - Erdelyi - 1953
82 Higher transcendental functions (context) - Erdelyi - 1953
79 Sums of independent random variables (context) - Petrov - 1975
76 Probability approximations via the Poisson clumping heuristi.. - Aldous - 1989
62 Univariate discrete distributions (context) - Johnson, Kotz et al. - 1992
56 Asymptotic approximations of integrals (context) - Wong - 1989 ACM
31 Saddlepoint approximations in statistics (context) - Daniels - 1954
21 Limiting distribution for the depth in Patricia tries (context) - Rais, Jacquet et al. - 1993 ACM DBLP
21 Marking in combinatorial constructions: generating functions.. (context) - Drmota, Soria - 1995 DBLP
20 Saddlepoint approximation for the distribution of the sum of.. (context) - Lugannani, Rice - 1980
17 Note on a paper by L (context) - Selberg - 1954
13 Optimization Software Inc (context) - Kolchin, mappings - 1986
13 Theoremes limites pour les structures combinatoires et les f.. (context) - Hwang - 1994
11 Introduction to mathematical probability (context) - Uspensky - 1937
10 Series approximation methods in statistics (context) - Kolassa - 1994
10 Introduction a la theorie analytique et probabiliste des nom.. (context) - Tenenbaum - 1990
10 The analysis of linear probing sort by the use of a new math.. (context) - Gonnet, Munro - 1984 DBLP
10 Sur le nombre de facteurs premiers des entiers (context) - Balazard, Delange et al. - 1988
9 Oxford Science Publications (context) - Barbour, Holst et al. - 1992
9 Uniform asymptotic expansion of Charlier polynomials (context) - Rui, Wong - 1994
8 Uniform asymptotic expansions of integrals with stationary p.. (context) - Bleistein - 1966
8 Random Structures and Algorithms (context) - Grabner, losers - 1993 ACM
8 Some approximations to the binomial distribution function (context) - Bahadur - 1960
7 an introduction to the general theory of infinite processes .. (context) - Whittaker, Watson et al. - 1927
6 Handbook of the Poisson distribution (context) - Haight - 1968
6 A Poisson geometric law for the number of components in unla.. (context) - Hwang
6 Estimates for partial sums of the exponential series (context) - Norton - 1978
6 The uniform asymptotic expansions of a class of integrals re.. (context) - Temme - 1982
5 Uniform asymptotic expansions of Laplace integrals (context) - Temme - 1983
5 the probability in the tail of a binomial distribution (context) - Littlewood - 1969
5 International Statistical Review (context) - Daniels, approximations - 1987
4 Asymptotic expansions for the Stirling numbers of the first .. - Hwang - 1995
4 Jordan's series for probability (context) - Uspensky, Ch - 1931
4 The asymptotic expansion of the incomplete gamma functions (context) - Temme - 1979
4 Approximation of a generalized Binomial distribution (context) - Ya - 1977
4 Uniform asymptotic expansions for saddle point integrals---a.. (context) - Rice - 1968
4 Oxford Science Publications (context) - Jensen, approximations - 1995
3 Special cases of second order Wiener germ approximations (context) - Dinges - 1989
3 Incomplete Laplace integrals: uniform asymptotic expansion w.. (context) - Temme - 1987
3 Mathematical Centre Tracts (context) - Molenaar, the et al. - 1970
3 On uniform asymptotic expansions of definite integrals (context) - Wong - 1973
2 Applied Scientific Research (context) - van der Waerden, method et al. - 1951
2 Sur le nombre des diviseurs premiers de n (context) - Delange - 1962
2 The normal approximation to the Poisson distribution and a p.. (context) - Cheng - 1949
2 A class of polynomials related to those of Laguerre (context) - Temme - 1985
2 On Littlewood's estimate for the binomial distribution (context) - McKay - 1989
2 A convergent asymptotic representation for integrals (context) - Franklin, Friedman - 1957
2 A normal approximation for beta and gamma tail probabilities (context) - Alfers, Dinges - 1984
The graph only includes citing articles where the year of publication is known.
Documents on the same site (http://algo.stat.sinica.edu.tw/): More
Asymptotic Behaviour of Some Infinite Products Involving Prime.. - Hwang (1996) (Correct)
A Constant Arising From the Analysis of Algorithms for Determining .. - Hwang (1996) (Correct)
On the Number of Heaps and the Cost of Heap Construction - Hwang, Steyaert (2001) (Correct)
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC