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Tagged with poisson-binomial-distribution self-study
3 questions
2
votes
2
answers
131
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Expected value of $e^{sP}$ where s is a complex number and $P$ is a Poisson rv
For each positive integer $N$, let $ B_N$ be a binomial $(N,1/3)$ random variable and $P$ be a Poisson(5) random variable. I am trying to understand the statistics of $B_P$. Could someone please hint ...
- 21
2
votes
0
answers
89
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How to go from given incidences in 24 years to annual probability?
For a biostatistics class, I have to determine the annual probability of at least one heart attack for various groups of given data that was collected over a period of 24 years. I won't put all the ...
- 21
3
votes
1
answer
600
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X is binomially distributed, and Y is binomially distributed. What distribution does X+Y follow?
We know that
$X$ follows $\mathrm{Bin}(n_1,p_1)$, $Y$ follows $\mathrm{Bin}(n_2,p_2)$, $X$ and $Y$ are independent. What does $X+Y$ follow?
I know the answer, that if $p_1=p_2=p$ then $X+Y$ follow $\...
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