Tagged Questions

Questions on using, finding, or otherwise relating to probability distributions, pdfs, cdfs, or the like.

158 views

Poisson's distribution , Frustration solitaire

I m not sure how to solve this question from Introduction to Probability & statistics for scientists and engineers,Sheldon M. Ross. Need help. The game of frustration solitaire is played by ...
34 views

124 views

How To prove Any Change to $v=a\cdot y + b$ maks $y=(a)^{-1}(v-b)$ Uni. random value

This question may seem to be related to Probability and Data Integrity but mine is much simpler and consideres a DIFFERENT problem. Let a finite field be $\mathbb{Z}_p$, where $p$ is a prime number. ...
35 views

Random Variable which takes two distributions with different probabilities

Suppose $X$ is a random variable which is $~N(0,1)$ with probability $0.4$ and $~N(2,1)$ with probability $0.6$. What is the pdf of $X$ ? Is it gaussian ? My attempt : Let $f(.)$ represent the pdf ...
51 views

28 views

63 views

Probability distributions for complex numbers

Aside from the complex normal distribution (which is really just a bivariate normal applied to the real and imaginary parts), are there any other distributions involving complex numbers that have ...
45 views

28 views

Finding the Complicated Posterior Probability Distribution of $θ$

Suppose, we are given a likelihood function, $f(x|θ)$ which follows a shifted-exponential distribution and the prior distribution of “$θ$” is Standard Cauchy distribution. Now the problem is – I am ...
89 views

Is $P( (A\cap B)\cap C)$ equal to $P(A\cap C) P(B\cap C)$?

Is $P( (A\cap B)\cap C)$ equal to $P(A\cap C) P(B\cap C)$? In a proof I doubtfully used this equation. Is it correct? But I am not sure about it. Can somebody confirm its validity? If possible, can ...
52 views

39 views

Poisson sampling

Suppose I have a pdf $f(S)$. $f(S)$ describes the size of firms in the economy. Also define the Bernoulli variable $X_{f} \in \{0,1\}$ where $P(X_{f}=1)=g(S_{f})$ and $P(X_{f}=0)=1-g(S_{f})$. $S_{f}$ ...