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Why Cost Function for Linear Regression Is Always a Convex Shaped Function?

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#statistics #statistical-inference #machine-learning #least-squares #linear-regression
45
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What's the approximation of Gamma(x) when x goes to 0?

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#probability #convergence-divergence #statistical-inference #gamma-function
49
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Testing $\beta_2=\beta_3=0$ in an asymptotic normal distribution

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#probability #probability-theory #statistics #statistical-inference #hypothesis-testing
311
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Mathematical Statistics - Jun Shao - 2.12

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#statistics #probability-distributions #statistical-inference #moment-generating-functions
994
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Transformation of a sufficient statistic

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#probability-theory #statistics #statistical-inference
364
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A question about constructing confidence interval when variance is unknown

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#statistics #statistical-inference #confidence-interval
241
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Sufficient statistic with...

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#statistics #statistical-inference
2.2k
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How to prove the sum of sample is the complete statistics for gamma distribution?

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#probability-theory #statistics #statistical-inference #gamma-distribution
4.3k
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How to find UMVUE of $\theta^k$ when $x_1, \ldots, x_n$ is a sample from Bernoulli$(\theta)$?

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#probability #statistics #probability-distributions #statistical-inference #parameter-estimation
110
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MLE uniform with varying supports

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#statistics #statistical-inference #uniform-distribution #maximum-likelihood #parameter-estimation
3.3k
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Finding an unbiased estimator of $e^{-2\lambda}$ for Poisson distribution

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#probability-theory #statistical-inference #poisson-distribution
582
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Confusion in finding conditional expecation of indicator function (Lehmann-Scheffe)

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#probability-theory #statistics #statistical-inference #parameter-estimation
345
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Show that $X_{(1)}=\min(X)$ is independent of ancillary $Y_i = X_{(n)}-X_{(i)}$ for an exponential location family

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#statistics #probability-distributions #statistical-inference #independence
310
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Linear combination of non-identically distributed, independent exponential random variables

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#statistics #probability-distributions #statistical-inference #maximum-likelihood #random-functions
1.3k
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Finding 95% upper confidence bound for $\theta$ if your sample follows the uniform distribution

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#probability #statistical-inference

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