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How to show a continuous random variable with even pdf also has a even moment generating function?

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#integration #probability-distributions #moment-generating-functions #even-and-odd-functions
275
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Domain of joint density function

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#probability #statistics #probability-distributions #density-function
149
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What is the Mahalanobis Distance pf y relative to the distribution of x?

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#probability #probability-distributions #vectors #mahalanobis-distance
93
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Derivation of ELBO upon the Existence of Conditional Latent Variable Model

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#probability-distributions #divergence-operator #upper-lower-bounds
71
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Approximating a standard normal distribution to a t-distribution

Published on
#probability-distributions #normal-distribution
48
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Poisson and Negative Binomial

Published on
#probability-distributions #reference-request
679
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Let $\ln X \sim \operatorname{Exp}(1)$ and $X,Y$ i.i.d. What is the distribution of $Z=XY$?

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#probability-theory #probability-distributions #convolution
712
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Cumulative distribution function to probability density

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#probability #probability-theory #statistics #probability-distributions #cumulants
427
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Finding the force of mortality at (x+t) from the force of mortality at x

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#derivatives #probability-distributions #proof-writing #actuarial-science
510
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calculating distribution of wait times for individuals in a queue

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#probability-distributions #queueing-theory
118
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Gamma distribution Confusion

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#probability-distributions
1k
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Is the space of probability density functions Banach?

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#probability #probability-distributions #banach-spaces
1.2k
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PDF of |X-Y| where X,Y ~ exp($\lambda$)

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#probability-theory #probability-distributions #random-variables #exponential-distribution
33
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What functions can be the limit of the CDF of the average of n IID random variables as n grows without bound?

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#probability-theory #probability-distributions #convergence-divergence #random-variables
3.5k
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Expected value of number of trials to get k SUCCESSIVE successes

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#probability #probability-theory #probability-distributions #conditional-probability

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