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Results tagged with probability-distributions
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user 49551
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.
5
votes
1
answer
584
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Radon-Nikodym derivative and conditional probability
In this paper by Diaconis and Zabell from 1982, Theorem 2.1 and the remark after essentially stated that
Given two probability measures $P$ and $Q$ on the same probability space $\Omega$. If $Q\ll P$ …
- 17k
2
votes
1
answer
222
views
Maximum of sums of iid $X_i$'s where $X_i$ is the difference of two exponential r.v
Given $X_i = A_i - B_i$ where $A_i\sim \text{ Exp}(\alpha)$ and $B_i \sim \text{ Exp}(\lambda)$. Define $S_k = \sum_{i=1}^k X_i$ with $S_0 = 0$, and
$$M_n = \max_{1\leq k \leq n} S_k.$$
Is it possibl …
- 485