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Finding the form of the uniformly most powerful test

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#statistics #statistical-inference #hypothesis-testing
36
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How does a difference under the integral sign turns into a definite integral of just a dummy variable?

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#integration #statistics #definite-integrals #solution-verification #statistical-inference
42
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Two statistics called equivalenet

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#statistics #statistical-inference
211
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Expected squared deviation of the James Stein estimator

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#probability #statistics #normal-distribution #statistical-inference #mean-square-error
516
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Show that if a function of a sufficient statistic is ancillary, then the sufficient statistic is not complete.

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#statistics #expected-value #statistical-inference #sufficient-statistics
89
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Show that the statistic $T(x_1,...,x_n)=\sum_{i=1}^nx_i^2$ is complete.

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#probability #statistics #statistical-inference
50
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For sampling to be independent(2 random samples), do the two populations have to be independent as well?

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#probability #statistics #probability-distributions #statistical-inference
263
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Covariance, matrix inverse, and second order derivatives of log-likelihood

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#statistics #statistical-inference #covariance #maximum-likelihood
43
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Sufficiency and completeness in two distribution

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#statistics #probability-distributions #statistical-inference
158
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Estimation in uniform distribution

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#statistical-inference #uniform-distribution #symmetry #parameter-estimation
84
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Geometric distribution from exponential estimation

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#probability #statistical-inference #exponential-distribution #parameter-estimation
399
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Let $A$ be a $n\times m$ random matrix with entries from finite field $\mathbb{F}_q$. What is the probability that rank of $A$ is full.

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#linear-algebra #matrices #probability-theory #statistical-inference
834
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Expected Value of MSR in General Linear Model

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#statistics #expected-value #statistical-inference #regression #mathematical-modeling
367
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How to interpret minimal sufficient statistics?

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#statistics #statistical-inference
69
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Based on a sample of size $n$, find a sufficient and complete statistics for $\theta$ and the MLE for $\theta$

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#probability #statistics #statistical-inference #maximum-likelihood

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