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Ratio Distribution

المؤلف:  المرجع الالكتروني للمعلوماتيه

المصدر:  www.almerja.com

الجزء والصفحة:  ...

20-4-2021

2068

Ratio Distribution

Given two distributions  and  with joint probability density function , let  be the ratio distribution. Then the distribution function of  is

			(1)
			(2)
			(3)

The probability function is then

			(4)
			(5)
			(6)

For variates with standard normal distributions, the ratio distribution is a Cauchy distribution.

For a uniform ratio distribution

{1 for x,y in [0,1]; 0 otherwise, " src="https://mathworld.wolfram.com/images/equations/RatioDistribution/NumberedEquation1.gif" style="height:41px; width:182px" />

(7)