Distribution of minimum of random variables

AI Thread Summary
The discussion revolves around finding the joint distribution function of U=min(X,Y) and V=max(X,Y) for independent random variables X and Y. Initially, a formula was proposed, but confusion arose regarding the independence of the variables. Once clarified that X and Y are independent, the problem became simpler. The participants express gratitude for assistance and acknowledge the resolution of the issue. The conversation highlights the importance of understanding variable independence in determining joint distributions.
Millie
Messages
3
Reaction score
0
anyone's help would be really appreciated. I can't figure out that one.

If X and Y are joint random variables, what is the joint distribution funtion of U=min(X,Y) and V=max(X,Y).

I got something like 2[u(v-u) + ½u^2)]

then how do i worked towards and expression for the marginal distribution of U and V?
 
Physics news on Phys.org
:redface:

sorry my mistake.. they are independent rv... now the question is quite simple! thanks anyway! :blushing:
 
Anytime! :smile:
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

I Sampling theory and random sample
Replies
5
Views
2K
I Linear regression and random variables
Replies
30
Views
4K
Evaluating minimum and maximum values with calculations
Replies
5
Views
1K
Getting the probability distribution of a random variable
Replies
2
Views
1K
Most probable velocity from Maxwell-Boltzmann distribution
Replies
5
Views
158
Determine marginal densities and distributions from joint density
Replies
7
Views
1K
Block drifts off between two moving planes through friction
Replies
21
Views
760
I How to show these random variables are independent?
Replies
1
Views
2K
I Statistical modeling and relationship between random variables
Replies
7
Views
2K
MHB Joint probability distribution of functions of random variables
Replies
3
Views
2K

Hot Threads

Recent Insights

Back
Top