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1. Relationships among probability distributions: In probability theory and statistics, there are several relationships among probability distributions. These relations can be categorized in the following groups: Multiplying the variable by any positive real constant yields a scaling of the original distribution. (Topic in probability theory and statistics) [100%] 2023-10-17 [Theory of probability distributions]
2. Convolution of probability distributions: The convolution/sum of probability distributions arises in probability theory and statistics as the operation in terms of probability distributions that corresponds to the addition of independent random variables and, by extension, to forming linear combinations of random variables. The ... (Probability distribution of the sum of random variables) [100%] 2023-07-25 [Theory of probability distributions]
3. Characterization of probability distributions: In mathematics in general, a characterization theorem says that a particular object – a function, a space, etc. – is the only one that possesses properties specified in the theorem. [100%] 2023-10-25 [Characterization of probability distributions] [Probability theorems]...
4. Exponential family of probability distributions: A certain model (i.e., a set of probability distributions on the same measurable space) in statistics which is widely used and studied for two reasons: i) many classical models are actually exponential families; ii) most of the classical methods ... (Mathematics) [89%] 2023-10-26
5. Continuous probability distributions and their characteristics: First login to DataMelt if you are a full DataMelt member. Then login to HandWiki as a user. Table of contents 0% complete This tutorial is provided under this license agreement. (DScience) [81%] 2023-02-09
6. List of convolutions of probability distributions: In probability theory, the probability distribution of the sum of two or more independent random variables is the convolution of their individual distributions. The term is motivated by the fact that the probability mass function or probability density function of ... (none) [81%] 2023-07-08 [Theory of probability distributions] [Mathematics-related lists]...
7. List of convolutions of probability distributions: In probability theory, the probability distribution of the sum of two or more independent random variables is the convolution of their individual distributions. The term is motivated by the fact that the probability mass function or probability density function of ... (none) [81%] 2023-07-23 [Theory of probability distributions] [Mathematics-related lists]...
8. Natural exponential family of probability distributions: Given a finite-dimensional real linear space $E$, denote by $E ^ { * }$ the space of linear forms $\theta$ from $E$ to $\mathbf{R}$. Let $\mathcal{M} ( E )$ be the set of positive Radon measures $\mu$ on $E$ with the following two ... (Mathematics) [81%] 2023-10-25