MHB Z = X/Y independant continuous random variables

AI Thread Summary
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
Messages
47
Reaction score
0
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
 
Physics news on Phys.org
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

.
 

Thread 'Please Explain (actually explain) The Monty Hall Problem'

Hello, I'm joining this forum to ask two questions which have nagged me for some time. They both are presumed obvious, yet don't make sense to me. Nobody will explain their positions, which is...uh...aka science. I also have a thread for the other question. But this one involves probability, known as the Monty Hall Problem. Please see any number of YouTube videos on this for an explanation, I'll leave it to them to explain it. I question the predicate of all those who answer this...
View full post »

Thread 'Value of intuitionistic logic'

I'm taking a look at intuitionistic propositional logic (IPL). Basically it exclude Double Negation Elimination (DNE) from the set of axiom schemas replacing it with Ex falso quodlibet: ⊥ → p for any proposition p (including both atomic and composite propositions). In IPL, for instance, the Law of Excluded Middle (LEM) p ∨ ¬p is no longer a theorem. My question: aside from the logic formal perspective, is IPL supposed to model/address some specific "kind of world" ? Thanks.
View full post »

Thread 'Formal derivation of statement from Peano Arithmetic system'

I was reading a Bachelor thesis on Peano Arithmetic (PA). PA has the following axioms (not including the induction schema): $$\begin{align} & (A1) ~~~~ \forall x \neg (x + 1 = 0) \nonumber \\ & (A2) ~~~~ \forall xy (x + 1 =y + 1 \to x = y) \nonumber \\ & (A3) ~~~~ \forall x (x + 0 = x) \nonumber \\ & (A4) ~~~~ \forall xy (x + (y +1) = (x + y ) + 1) \nonumber \\ & (A5) ~~~~ \forall x (x \cdot 0 = 0) \nonumber \\ & (A6) ~~~~ \forall xy (x \cdot (y + 1) = (x \cdot y) + x) \nonumber...
View full post »

Similar threads

I The covariance of a sum of two random variables X and Y
Replies
10
Views
2K
I How to show these random variables are independent?
Replies
1
Views
2K
MHB Distribution and Density functions of maximum of random variables
Replies
6
Views
4K
A Karhunen–Loève theorem expansion random variables
Replies
1
Views
2K
I Expected value of X~Geom(p) given X+Y=z
Replies
5
Views
2K
A Sum of independent random variables and Normalization
Replies
10
Views
3K
MHB Two normal independent random variables
Replies
2
Views
2K
A Probability Density Function: Converting Experimental Observations to PDF
Replies
4
Views
2K
Conceptual Problems with Random Variables and Sample Theory
Replies
2
Views
1K
I Independent events and variables
Replies
12
Views
2K

Hot Threads

Recent Insights

Back
Top