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A Note on the Ratio of Two Normally Distributed Variables

Jack Hayya, Donald Armstrong and Nicolas Gressis
Management Science
Vol. 21, No. 11, Theory Series (Jul., 1975), pp. 1338-1341
Published by: INFORMS
Stable URL: http://www.jstor.org/stable/2629897
Page Count: 4
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A Note on the Ratio of Two Normally Distributed Variables
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Abstract

This note is a continuation of a previous paper on normal approximations of standard forms. The standard form treated here is the ratio of two normally distributed variables. It is found that a suitable transformation of this ratio is approximately normally distributed provided that the coefficient of variation of the denominator is less than 0.39.

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