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

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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.",

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The average of the values of a function at random points

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