MHB Z = X/Y independant continuous random variables

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The discussion centers on finding the density function of Z, defined as the ratio of two independent continuous random variables X and Y. The original poster seeks guidance on how to derive this density function and expresses uncertainty about the appropriate search terms for further research. Participants suggest looking into resources like the Ratio Distribution on Wikipedia for relevant information. The conversation highlights the need for clear methods to approach problems involving the division of random variables. Overall, the thread emphasizes the importance of understanding the properties of ratios in probability theory.
Barioth
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Hi,

Let's say I'm given X and Y identical independant continuous random variables.

We pose Z =X/Y, I remember there is a way to find the density function of Z, altough I can't get to remember how to do it and my probability book is out of town.(And I'm not so sure what to look for in google)

If someone could redirect me to some lecture about this kind of problem I would be very happy!

Thanks for passing by
 
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Barioth said:
Hi,

Let's say I'm given X and Y identical independant continuous random variables.

We pose Z =X/Y, I remember there is a way to find the density function of Z, altough I can't get to remember how to do it and my probability book is out of town.(And I'm not so sure what to look for in google)

If someone could redirect me to some lecture about this kind of problem I would be very happy!

Thanks for passing by

http://www.mathhelpboards.com/f52/unsolved-statistics-questions-other-sites-932/index4.html#post5581

Kind regards

$\chi$ $\sigma$
 
Barioth said:
Hi,

Let's say I'm given X and Y identical independant continuous random variables.

We pose Z =X/Y, I remember there is a way to find the density function of Z, altough I can't get to remember how to do it and my probability book is out of town.(And I'm not so sure what to look for in google)

If someone could redirect me to some lecture about this kind of problem I would be very happy!

Thanks for passing by

Ratio distribution - Wikipedia, the free encyclopedia

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First trick I learned this one a long time ago and have used it to entertain and amuse young kids. Ask your friend to write down a three-digit number without showing it to you. Then ask him or her to rearrange the digits to form a new three-digit number. After that, write whichever is the larger number above the other number, and then subtract the smaller from the larger, making sure that you don't see any of the numbers. Then ask the young "victim" to tell you any two of the digits of the...

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