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Why do we need sigma-algebras to define probability spaces?

probability intuition measure-theory sigma-algebra

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Variance of product of multiple independent random variables

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damla

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61 votes

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Is it true that the percentile bootstrap should never be used?

confidence-interval bootstrap

Clarinetist

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47 votes

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10k views

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agronskiy

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42 votes

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Intuitive explanation of convergence in distribution and convergence in probability

distributions random-variable convergence intuition

nicefella

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Maximum likelihood estimators for a truncated distribution

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a3nm

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Variance of a bounded random variable

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Piotr

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28 votes

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Distribution hypothesis testing - what is the point of doing it if you can't "accept" your null hypothesis?

hypothesis-testing distributions goodness-of-fit empirical-cumulative-distr-fn

Clarinetist

3,973

asked Sep 2, 2014 at 5:16

20 votes

1 answer

7k views

Whether distributions with the same moments are identical

distributions lognormal-distribution moments moment-generating-function

Tim

18.2k

asked Feb 3, 2014 at 1:53

19 votes

1 answer

10k views

What is the exact definition of profile likelihood?

terminology profile-likelihood

shijing SI

623

asked May 17, 2012 at 14:43

18 votes

2 answers

4k views

Why does the supremum of the Brownian bridge have the Kolmogorov–Smirnov distribution?

distributions hypothesis-testing mathematical-statistics stochastic-processes

Rasmus

425

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9 votes

1 answer

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Variance of the reciprocal II

estimation variance random-variable

David Roberts

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8 votes

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6k views

What is the distribution of the sample variance for a Poisson random variable?

distributions variance poisson-distribution sample

drw

343

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8 votes

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550 views

Approximation of a probability distribution

density-function approximation

tst

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asked May 22, 2021 at 17:20

5 votes

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Square root of an inverse gamma distributed random variable

probability distributions gamma-distribution

Ben

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5 votes

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Normalization to non-degenerate distribution

distributions mathematical-statistics estimation inference

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2 votes

0 answers

177 views

Definition of Stochastic Process as Probability measure in a Prob. Space

probability stochastic-processes

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Is normality testing 'essentially useless'?

Famous statistical quotations

Why do we need sigma-algebras to define probability spaces?

Variance of product of multiple independent random variables

Is it true that the percentile bootstrap should never be used?

Taking the expectation of Taylor series (especially the remainder)

Intuitive explanation of convergence in distribution and convergence in probability

Maximum likelihood estimators for a truncated distribution

Variance of a bounded random variable

Distribution hypothesis testing - what is the point of doing it if you can't "accept" your null hypothesis?

Whether distributions with the same moments are identical

What is the exact definition of profile likelihood?

Why does the supremum of the Brownian bridge have the Kolmogorov–Smirnov distribution?

Variance of the reciprocal II

What is the distribution of the sample variance for a Poisson random variable?

Approximation of a probability distribution

Square root of an inverse gamma distributed random variable

Normalization to non-degenerate distribution

Definition of Stochastic Process as Probability measure in a Prob. Space