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How to show $E(\hat{y}|y)=E(E(\hat{y}|\theta,y)|y)$?

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#probability #statistics #statistical-inference #bayesian
217
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Showing that the first order statistic of pdf $f(x)=2(x-\mu)$ is consistent for $\mu$

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#limits #statistics #convergence-divergence #statistical-inference #order-statistics
35
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Determining the distribution of a variable using moments

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#statistical-inference #moment-generating-functions
82
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Constructing confidence Interval (standard normal)

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#probability #statistics #probability-distributions #statistical-inference #confidence-interval
51
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Is it possible to express the posterior of the function of a parameter in terms of the posterior of the parameter?

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#statistics #statistical-inference #bayesian
1.2k
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Insurance claims according to a poisson

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#probability #statistics #probability-distributions #statistical-inference
738
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Probability of the sample mean of a Bernoulli

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#probability #statistics #probability-distributions #statistical-inference
3.9k
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How to find the sufficient statistics for the shifted exponential distribution $f_{\theta, k}(y) = \theta e^{-\theta (y - k)}, y \ge k, \theta \gt 0$?

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#statistics #statistical-inference #parameter-estimation #exponential-distribution
87
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Moment Generating function With Gamma distribution

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#probability #statistics #probability-distributions #statistical-inference
872
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"Likelihood" definition and probability

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#statistics #statistical-inference #maximum-likelihood
34
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Intuition behind Evidence function

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#statistics #statistical-inference
1.4k
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Minimal sufficient statistic for exponential distribution

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#probability-distributions #statistical-inference
371
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How to find the MLE for $P(X>a)$ for $n$ iid normal random variables

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#probability #statistics #statistical-inference #maximum-likelihood
64
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Why is the arithmetic mean the more typical value of a data set

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#statistics #statistical-inference
263
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Probability: What is the best solution for this problem about Discrete distributions?

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#probability #probability-theory #statistics #probability-distributions #statistical-inference

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