The normal approximation to the binomial

被引：3

作者：

Proschan, Michael A. ^{[1
]}

机构：

[1] NIAID, Bethesda, MD 20892 USA

来源：

AMERICAN STATISTICIAN | 2008年 / 62卷 / 01期

关键词：

Bernoulli random variables; binomial distribution; central limit theorem;

D O I：

10.1198/000313008X267848

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

This note presents a heuristic derivation of the central limit theorem for Bernoulli random variables. While not a proof, it lends insight into why the normal distribution approximates the binomial.

引用

页码：62 / 63

页数：2

共 50 条

[21] ON THE BOUND OF PROXIMITY OF THE BINOMIAL DISTRIBUTION TO THE NORMAL ONE
Nagaev, S. V.
Chebotarev, V. I.
THEORY OF PROBABILITY AND ITS APPLICATIONS, 2012, 56 (02) : 213 - 239
[22] On the bound of proximity of the binomial distribution to the normal one
S. V. Nagaev
V. I. Chebotarev
Doklady Mathematics, 2011, 83 : 19 - 21
[23] Symmetric and centered binomial approximation of sums of locally dependent random variables
Roellin, Adrian
ELECTRONIC JOURNAL OF PROBABILITY, 2008, 13 : 756 - 776
[24] A non-uniform bound on binomial approximation with w-functions
Teerapabolarn, K.
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2022, 51 (23) : 8391 - 8405
[25] A new method of normal approximation
Chatterjee, Sourav
ANNALS OF PROBABILITY, 2008, 36 (04) : 1584 - 1610
[26] Normal approximation for strong demimartingales
Hadjikyriakou, Milto
STATISTICS & PROBABILITY LETTERS, 2017, 122 : 104 - 108
[27] An Improved Saddlepoint Approximation Based on the Negative Binomial Distribution for the General Birth Process
Gordon K. Smyth
Heather M. Podlich
Computational Statistics, 2002, 17 : 17 - 28
[28] An improved saddlepoint approximation based on the negative binomial distribution for the general birth process
Smyth, GK
Podlich, HM
COMPUTATIONAL STATISTICS, 2002, 17 (01) : 17 - 27
[29] On the accuracy of the normal approximation. I
Korolev, V. Yu.
Shevtsova, I. G.
THEORY OF PROBABILITY AND ITS APPLICATIONS, 2006, 50 (02) : 298 - 310
[30] BOUNDS FOR THE ACCURACY OF INVALID NORMAL APPROXIMATION
Dorofeeva, Alexandra
Korolev, Victor
Zeifman, Alexander
COLLOQUIUM MATHEMATICUM, 2022, 169 (02) : 243 - 253

← 1 2 3 4 5 →