Questions tagged [discrete-distributions]

119 questions
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The Description of the Variable of Interest: Binomial VS Negative Binomial Discrete Random Variables

Does it makes sense to say that: In a binomial distribution we looking for the number of successes in a given number if trials, and in a negative binomial distribution we are looking for the number of trials until a given number of (edit:) successes…
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discrete distributions

Please help with explanations. I tried with Pr(U=U) = 1-Pr(U
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Is this discrete distribution with Catalan numbers as coefficients named/characterized (or a special case of a named/characterized distribution)?

I have a complex stochastic model, and I want to (among other things) determine whether the output is over-dispersed, compared to what we would expect under a simpler model. Which means that it would be really nice to have a clear and well-defined…
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A discrete distribution arising in a shorter sub-array problem

I have a list $L=\{x_1,x_2,\cdots,x_N \}$ of $N$ random integer numbers $x_i\in[a,b]$, $b\gt a$, $a,b\in\mathbb{N}$, $N\gg b$ and they follow a discrete uniform distribution. I need to scan the list from its beginning and "collect" each number from…