Tagged Questions
2
votes
0answers
37 views
Useful approximation of the pdf
Good day to everyone.
In my research work I came out with a function, which looks like this (it is the pdf of some random variable):
$$f(x,\rho,\psi)=\frac{2}{\pi }+\sqrt{\frac{2}{\pi }} ...
2
votes
0answers
210 views
Determining the probability density function from an equation
I have the following (for me quite interesting) densities for which I am completely stuck. I only hope that you can provide me some help.
Let me introduce my problem. I have two probability ...
4
votes
0answers
215 views
median of the F-distribution
Is the median of the F-distribution with m and n degrees of freedom decreasing in n, for any m?
From experiments it looks like it might be, but I have been unable to prove it.
1
vote
1answer
138 views
Help interpreting a gamma distribution
The following is from an article I'm reading and is the conditional density of a random variable that is distributed according to a gamma distribution, conditional on the value of a parameter $t$.
...
6
votes
2answers
188 views
Beta Function — finding a lower bound based on parameters
I would like to show that
$$ 1-\frac{1}{c}Beta\left(c+1,\frac{1}{c}\right) \geq \frac{1}{c+1}.$$
for all $c \geq 2$.
I have plotted it out for $c$ up through 200, and it seems to hold.
Does anyone ...
1
vote
0answers
62 views
Computing the PDF of a product of the sum of 2 Nakagmi-m R.V.s with a Normal R.V
I really have two questions: One is about computing a PDF and the second is about how to sum a series involving $K_v(x)$ that the PDF in question seems to contain.
I have come across the following ...
2
votes
1answer
148 views
Conceptually, what is the difference between the Beta function and the Beta distribution?
I have read the Wikipedia pages on the Beta function and the Beta distribution, but I'm still not sure I have a good intuition for what's going on.
I'm am hoping someone will be kind enough to ...
