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Given a uniformly sampled $x$ and $y$, are the distributions of $x \cdot x$ and $x \cdot y$ equivalent?

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#statistics #random-functions
119
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Does MCMC method can be used to calculate the mean and variance of the distribution of random variable functions?

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#probability #statistics #statistical-inference #random-functions
92
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$X,Y \sim Exp(1), X \perp Y$, joint density of $V = X, U = X/Y$

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#probability #random-variables #exponential-distribution #random-functions
60
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Order Statistics and Functions of Random Variables

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#probability #random-variables #order-statistics #random-functions
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Projections of uniformly distributed $\mathbb{R}^3$ unit vector have uniform distribution

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#random-variables #projective-geometry #random #random-functions
57
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Sequence of Random Variables: Approximation to the probability of an event

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#probability-distributions #random-variables #random-functions
310
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Linear combination of non-identically distributed, independent exponential random variables

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#statistics #probability-distributions #statistical-inference #maximum-likelihood #random-functions
60
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Will operations on a purely random function also be random?

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#random #random-functions
358
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Integral with respect to random measure is measurable

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#real-analysis #integration #measure-theory #proof-verification #random-functions
192
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what are the characteristics of this random variable?

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#probability-distributions #random-variables #random-functions #chi-squared
303
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What is the PDF of this scaled non-central chi-squared random variable and what is the result of its integral?

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#random-variables #random #density-function #random-functions #chi-squared
89
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A minimization chance constrained optimization problem

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#probability-distributions #linear-programming #operations-research #random-functions #constraint-programming
592
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In algebra of random variables is $X + X \neq 2X$?

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#probability #random-variables #random-functions
908
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Jensen's inequality for random functions in a Banach space

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#functional-analysis #measure-theory #random-functions #jensen-inequality
345
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Calculating the expected value and variance of a sum of two different distributions

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#random-variables #random-functions

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