LOWER BOUNDS FOR THE NORMAL APPROXIMATION OF A SUM OF INDEPENDENT RANDOM VARIABLES

Yoshihiko Maesono

doi:10.1111/j.1467-842X.1989.tb00991.x

LOWER BOUNDS FOR THE NORMAL APPROXIMATION OF A SUM OF INDEPENDENT RANDOM VARIABLES

Yoshihiko Maesono

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

The rates of convergence to the normal distribution are investigated for a sum of independent random variables. Using Stein's method, we derive a lower bound of the uniform distance between two distributions of independent sum and normal.

Original language	English
Pages (from-to)	475-485
Number of pages	11
Journal	Australian Journal of Statistics
Volume	31
Issue number	3
DOIs	https://doi.org/10.1111/j.1467-842X.1989.tb00991.x
Publication status	Published - Jan 1 1989
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistics and Probability

Access to Document

10.1111/j.1467-842X.1989.tb00991.x

Cite this

@article{cfa68f64044746fab5dcf22d3a517ca8,

title = "LOWER BOUNDS FOR THE NORMAL APPROXIMATION OF A SUM OF INDEPENDENT RANDOM VARIABLES",

abstract = "The rates of convergence to the normal distribution are investigated for a sum of independent random variables. Using Stein's method, we derive a lower bound of the uniform distance between two distributions of independent sum and normal.",

author = "Yoshihiko Maesono",

year = "1989",

month = jan,

day = "1",

doi = "10.1111/j.1467-842X.1989.tb00991.x",

language = "English",

volume = "31",

pages = "475--485",

journal = "Australian Journal of Statistics",

issn = "0004-9581",

publisher = "Statistical Society of Australia",

number = "3",

}

TY - JOUR

T1 - LOWER BOUNDS FOR THE NORMAL APPROXIMATION OF A SUM OF INDEPENDENT RANDOM VARIABLES

AU - Maesono, Yoshihiko

PY - 1989/1/1

Y1 - 1989/1/1

N2 - The rates of convergence to the normal distribution are investigated for a sum of independent random variables. Using Stein's method, we derive a lower bound of the uniform distance between two distributions of independent sum and normal.

AB - The rates of convergence to the normal distribution are investigated for a sum of independent random variables. Using Stein's method, we derive a lower bound of the uniform distance between two distributions of independent sum and normal.

UR - http://www.scopus.com/inward/record.url?scp=84985582577&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84985582577&partnerID=8YFLogxK

U2 - 10.1111/j.1467-842X.1989.tb00991.x

DO - 10.1111/j.1467-842X.1989.tb00991.x

M3 - Article

AN - SCOPUS:84985582577

SN - 0004-9581

VL - 31

SP - 475

EP - 485

JO - Australian Journal of Statistics

JF - Australian Journal of Statistics

IS - 3

ER -

LOWER BOUNDS FOR THE NORMAL APPROXIMATION OF A SUM OF INDEPENDENT RANDOM VARIABLES

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this