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- W2103189219 abstract "The power sum of P <inf xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>n</inf> n components X <inf xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>1</inf> , X <inf xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>2</inf> , …, X <inf xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>n</inf> is defined by the relation <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>$p_{n} = 10 {rm log}_{10} [10^{X_{1}/10} + ldots + 10^{X_{n}/10}]$</tex> The distributions of such power sums are studied both analytically and by Monte Carlo simulation techniques for the case where the components are independent, identically distributed, truncated normal random variables. Results are given in terms of distributions and moments of P <inf xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>n</inf> . The number of components varies from 2 to 256, and the standard deviation of the component variables before truncation ranges from 1 to 10 dB. The dependence of the results on the choice of truncation point is also investigated." @default.
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- W2103189219 date "1967-11-01" @default.
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- W2103189219 title "Some Properties of Power Sums of Truncated Normal Random Variables" @default.
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- W2103189219 doi "https://doi.org/10.1002/j.1538-7305.1967.tb04245.x" @default.
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