Almost sure convergence of sums of maxima and minima of positive random variables

Malay Ghosh; G. Jogesh Babu; Nitis Mukhopadhyay

doi:10.1007/BF00539860

Almost sure convergence of sums of maxima and minima of positive random variables

Malay Ghosh
, G. Jogesh Babu
, Nitis Mukhopadhyay

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

6 Scopus citations

Abstract

For a sequence of independent and identically distributed positive random variables, the almost sure convergence of sums of maxima (when suitably normalized) to appropriate constants is proved for both bounded and unbounded random variables. A similar result is also proved for sums of minima of such variables.

Original language	English (US)
Pages (from-to)	49-54
Number of pages	6
Journal	Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
Volume	33
Issue number	1
DOIs	https://doi.org/10.1007/BF00539860
State	Published - Mar 1 1975

All Science Journal Classification (ASJC) codes

Analysis
Statistics and Probability
General Mathematics

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10.1007/BF00539860

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title = "Almost sure convergence of sums of maxima and minima of positive random variables",

abstract = "For a sequence of independent and identically distributed positive random variables, the almost sure convergence of sums of maxima (when suitably normalized) to appropriate constants is proved for both bounded and unbounded random variables. A similar result is also proved for sums of minima of such variables.",

author = "Malay Ghosh and Babu, \{G. Jogesh\} and Nitis Mukhopadhyay",

year = "1975",

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AU - Ghosh, Malay

AU - Babu, G. Jogesh

AU - Mukhopadhyay, Nitis

PY - 1975/3/1

Y1 - 1975/3/1

N2 - For a sequence of independent and identically distributed positive random variables, the almost sure convergence of sums of maxima (when suitably normalized) to appropriate constants is proved for both bounded and unbounded random variables. A similar result is also proved for sums of minima of such variables.

AB - For a sequence of independent and identically distributed positive random variables, the almost sure convergence of sums of maxima (when suitably normalized) to appropriate constants is proved for both bounded and unbounded random variables. A similar result is also proved for sums of minima of such variables.

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U2 - 10.1007/BF00539860

DO - 10.1007/BF00539860

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SN - 0044-3719

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JF - Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete

IS - 1

ER -

Almost sure convergence of sums of maxima and minima of positive random variables

Abstract

All Science Journal Classification (ASJC) codes

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