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Method of Moments for $p(x) = cx^{\beta} \hspace{1cm} x \in[0,a] $

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#probability #probability-theory #statistics #probability-distributions #statistical-inference
125
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Asymptotic confidence interval for $X \sim U(0,a)$ with $a>0$ unknown

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#probability #probability-theory #statistics #probability-distributions #statistical-inference
1.7k
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Dependence of posterior probability on parameters

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#statistical-inference #bayesian #bayes-theorem
3.5k
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uniformly most powerful test: binomial distribution

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#probability #statistics #statistical-inference #binomial-distribution #hypothesis-testing
77
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Choosing MLE(Maximum likelihood estimator) from three different estimators(Uniform distribution)

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#statistics #statistical-inference #parameter-estimation
902
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For the density $f(x\mid \theta)=\theta x^{\theta-1}$, is $\sum x_i$ sufficient for $\theta$?

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#probability #statistical-inference
80
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Problem regarding unbiased estimator

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#probability #probability-theory #statistics #probability-distributions #statistical-inference
590
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Maximum likelihood estimator is sample mean or minimum ordered statistic?

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#statistics #statistical-inference #estimation #parameter-estimation
48
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Show $\mu$ is unbiased and find $\mathsf{Var}(\mu)$

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#probability #statistical-inference #poisson-distribution
66
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Find posterior distribution of $\varepsilon$ in a uniform distribution on $[0, \frac{1}{6}]$

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#probability #statistics #statistical-inference #bayesian
496
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Power function of a test,example

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#statistics #probability-distributions #normal-distribution #statistical-inference
42
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Calculating statistical significance

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#statistics #statistical-inference
51
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Statistical test for comparing two distributions

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#statistics #probability-distributions #statistical-inference #hypothesis-testing
1.1k
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Maximum Likelihood parameter $\theta$

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#statistics #statistical-inference #maximum-likelihood
44
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Will the Statistic be sufficient?

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#statistics #self-learning #statistical-inference

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