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Conditional probability and movie inference

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#probability #statistical-inference
118
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Determining how to define a rare coin given a large data set of the years pennies were made

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#probability #statistics #statistical-inference
29
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Statistics Probability Algebra Issue

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#linear-algebra #probability #statistics #statistical-inference
111
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Can a Random Variable be a Sample or just a Single Value?

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#statistics #statistical-inference #descriptive-statistics
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What does a semicolon denote in the context of probability and statistics?

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#probability #statistics #probability-distributions #notation #statistical-inference
55
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How to prove these sufficient statistics?

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#statistics #statistical-inference #order-statistics
91
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Show that if $X\sim\text{Pois}(\theta)$, then $I(\theta;X) = 1/\theta$.

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#probability #probability-theory #statistics #probability-distributions #statistical-inference
73
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Show that $I(\theta;X) = -\frac{\partial^2}{\partial\theta_i\,\partial\theta_j}\log c(\pi).$

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#probability-theory #statistics #probability-distributions #statistical-inference
90
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Help integrating the mean of the minimum order statistic

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#calculus #integration #statistical-inference #order-statistics
100
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Show that $KL_X(\theta;\psi) = (\theta-\psi)^2/2$.

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#probability #probability-theory #statistics #probability-distributions #statistical-inference
129
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Given $X \sim Pois(\lambda)$, is the MLE of $P(X=3)$ consistent?

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#statistics #statistical-inference #maximum-likelihood #parameter-estimation
1.3k
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Suppose that $X\sim\operatorname{Exp}(\theta)$, show that no unbiased estimator for $\theta$ exists.

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#statistics #probability-distributions #statistical-inference #parameter-estimation
228
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Proving that the MLE of the variance of $X \sim exp(\lambda)$ is consistent

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#statistics #statistical-inference #parameter-estimation
93
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Biased/Unbiased estimation of circular parameters

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#statistics #statistical-inference
36
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Estimating a probability density function

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#statistics #statistical-inference

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