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Confidence interval for $\theta$ when $X_i$'s are i.i.d $N(\theta,\theta)$

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#statistics #normal-distribution #statistical-inference #parameter-estimation #confidence-interval
99
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Unbiased estimator for median (lognormal distribution)

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#statistics #parameter-estimation
107
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Determine unknown probability by observing results

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#probability #statistics #parameter-estimation
421
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The method of moments estimator of median

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#statistics #median #parameter-estimation
44
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Multivariate Taylor expansion in Epanechnikov's paper

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#probability-theory #statistics #estimation #density-function #parameter-estimation
262
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Asymptotic variance

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#probability-theory #statistics #convergence-divergence #parameter-estimation
1.2k
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Creating a confidence interval when sigma is unknown

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#statistics #statistical-inference #hypothesis-testing #parameter-estimation #confidence-interval
547
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Show that $P_1$ is the most efficient estimator amongst all unbiased estimators of $\theta$.

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#statistics #statistical-inference #binomial-distribution #parameter-estimation
26
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Determine all $\overrightarrow{a}$ for an unbiased estimator of the variance

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#statistics #probability-distributions #expected-value #variance #parameter-estimation
255
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Suppose two estimators are unbiased, what is the intuition behind the preference of the estimator with the less variance?

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#statistics #intuition #statistical-inference #parameter-estimation
50
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Provide unbiased estimator for known distribution and prove it is unbiased

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#statistics #parameter-estimation
345
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Distribution of Binomial MLE and intervals

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#statistics #statistical-inference #maximum-likelihood #parameter-estimation #confidence-interval
415
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Point estimate for quadratic loss function

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#bayesian #estimation #parameter-estimation
135
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How to find unbiased estimator which is based on maximum likelihood for this problem?

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#statistics #expected-value #exponential-distribution #parameter-estimation
121
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Find MLE for $\Phi, f(x;\Phi)=\frac{2x}{1-\Phi^{-1}}$

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#statistics #maximum-likelihood #parameter-estimation #log-likelihood

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