All Questions
4 questions
3
votes
1
answer
177
views
Calculate expected values E(x) & E(y) & variance of x & y of joint PDF, which was previously transformed from Polar to Cartesian
Given two independently uniform distributed random variables angle $\theta \in [0,2\pi]$ and radius $r \in [0,1]$.
I obtain for the joint density function with polar coordinates: $$ f_{r,\theta}(r,\...
- 33
1
vote
0
answers
47
views
Integrate out the binary indicator variable in a two-sample ANOVA
I have two sets of data, A and B, that have unequal sizes, and I want to compare their means. The standard approach would be to do a t-test. Getting a little more sophisticated, we can think of that t-...
- 67.2k
2
votes
1
answer
224
views
Find conditional pdf given joint
Let the joint pdf of $X$ and $Y$ be $f(x,y) = 12e^{-4x-3y}, x>0, y>0$.
What is the marginal cdf of $X$? of $Y$?
Am I just supposed to integrate f(x,y) with respect to $x$ or $y$ to get the ...
- 125
2
votes
1
answer
295
views
Solving a marginalization integral involving exponential distributions
I'm trying to solve a marginalization integral
\begin{equation}
\int p(y,w) dw
\end{equation}
in order to compute the density $p(y)$.
I assumed the following model:
\begin{equation}
y = (u+w)^2 + v
\...
- 324