The average of the values of a function at random points

Isaac Meilijson

doi:10.1007/BF02764606

The average of the values of a function at random points

Isaac Meilijson^*

^*Corresponding author for this work

School of Mathematical Sciences

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

4 Scopus citations

Abstract

The behavior of (1/N) {Mathematical expression} as N→∞ is considered, where f is a bounded measurable function on (-∞, ∞) and (S_n)_n^=1/∞ are the partial sums of a sequence of independent and identically distributed rondom variables.

Original language	English
Pages (from-to)	193-203
Number of pages	11
Journal	Israel Journal of Mathematics
Volume	15
Issue number	2
DOIs	https://doi.org/10.1007/BF02764606
State	Published - Jun 1973

Access to Document

10.1007/BF02764606

Cite this

@article{bb91ec9694bd45f194ee67d579248a20,

title = "The average of the values of a function at random points",

abstract = "The behavior of (1/N) {Mathematical expression} as N→∞ is considered, where f is a bounded measurable function on (-∞, ∞) and (S n) n =1/∞ are the partial sums of a sequence of independent and identically distributed rondom variables.",

author = "Isaac Meilijson",

year = "1973",

month = jun,

doi = "10.1007/BF02764606",

language = "אנגלית",

volume = "15",

pages = "193--203",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer New York",

number = "2",

}

TY - JOUR

T1 - The average of the values of a function at random points

AU - Meilijson, Isaac

PY - 1973/6

Y1 - 1973/6

N2 - The behavior of (1/N) {Mathematical expression} as N→∞ is considered, where f is a bounded measurable function on (-∞, ∞) and (S n) n =1/∞ are the partial sums of a sequence of independent and identically distributed rondom variables.

AB - The behavior of (1/N) {Mathematical expression} as N→∞ is considered, where f is a bounded measurable function on (-∞, ∞) and (S n) n =1/∞ are the partial sums of a sequence of independent and identically distributed rondom variables.

UR - http://www.scopus.com/inward/record.url?scp=51649184609&partnerID=8YFLogxK

U2 - 10.1007/BF02764606

DO - 10.1007/BF02764606

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:51649184609

SN - 0021-2172

VL - 15

SP - 193

EP - 203

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 2

ER -

The average of the values of a function at random points

Abstract

Access to Document

Other files and links

Fingerprint

Cite this