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Questions tagged [probability-distributions]

In probability and statistics, a probability distribution assigns a probability to each measurable subset of the possible outcomes of a random experiment, survey, or procedure of statistical inference.

1,064 questions
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Moment generating function of random unit vector

Let $X$ be uniformly distributed on the unit sphere $S^{n-1}$. Is there any result concerning the calculation or bound (particularly lower bound) of $$\mathbb{E}[\exp(X^Tv)]$$ for any $v$?
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Tight bounds for finite de Finetti's theorem

de Finetti's theorem roughly states that infinite sequence of exchangeable random variables are conditionally independent. I am looking for tight bounds for de Finetti's theorem in the following ...
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Expected value of a random variable conditioned on a positively correlated event

I have a random variable $x \in [a, b]$ with PDF $f(x)$ and an event $E$ which satisfies the following property for any $x'<b$. $$\Pr[E\mid x > x'] \geq \Pr[E]$$ My question is whether or not ...
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Probability of one event happening to two different individuals within a time frame [migrated]

What is the probability of the same event happening to two (or more) different independent people within a specified time frame? For example, if I wave my hands to my friend, there is a probability ...

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山西福彩快乐十分钟

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