List questions from statistical-inference

Published on 12 Apr 2026 - 14:53

96

Views

How is $P_{\theta}(x-\epsilon<X<x+\epsilon)$ approximately $2\epsilon f(x\mid\theta)=2\epsilon L(\theta\mid x)$?

Published on 16 Apr 2026 - 19:27

255

Views

Unbiased estimator for $\tau(\theta) = \theta$

Published on 10 Apr 2026 - 17:20

137

Views

Variance of the median estimator of normal distribution

Published on 15 Apr 2026 - 8:55

445

Views

Expected value of order statistics from uniform distribution

Published on 16 Apr 2026 - 12:56

184

Views

Rao-Blackwell Theorem depends on the fact of using a sufficient statistics?

Published on 14 Apr 2026 - 13:53

107

Views

Hard problem to show almost sure boundedness

Published on 11 Apr 2026 - 6:46

50

Views

Which test to use when I have population data?

Published on 12 Apr 2026 - 10:42

69

Views

Sufficient and Completeness of the bivariate order statistics

Published on 16 Apr 2026 - 4:30

224

Views

How do you check if a die is fair using the posterior probability density function?

Published on 09 Apr 2026 - 15:40

48

Views

Is N-Pair loss generating a meaningful embedding space?

Published on 11 Apr 2026 - 1:23

96

Views

If $X$ is an observation from a $\text{Binom}(n, p)$, with $0 < p < 1$, how to find the UMVUE of $p^2$, and does it reach the Cramer-Rao lower bound?

Published on 14 Apr 2026 - 5:15

81

Views

ANOVA formulas not matching with correct answer

Published on 11 Apr 2026 - 17:10

74

Views

UMVUE for $λ^{−\lambda}$ where $_1, _2$ are two independent observations from a Poisson$(λ)$ and $λ > 0$ is an unknown parameter.

Published on 14 Apr 2026 - 4:42

77

Views

Most Powerful Test involving hypothetical distribution

Published on 09 Apr 2026 - 10:38

List Question

Cramer rao low bound of uniform distribution

How is $P_{\theta}(x-\epsilon<X<x+\epsilon)$ approximately $2\epsilon f(x\mid\theta)=2\epsilon L(\theta\mid x)$?

Unbiased estimator for $\tau(\theta) = \theta$

Variance of the median estimator of normal distribution

Expected value of order statistics from uniform distribution

Rao-Blackwell Theorem depends on the fact of using a sufficient statistics?

Hard problem to show almost sure boundedness

Which test to use when I have population data?

Sufficient and Completeness of the bivariate order statistics

How do you check if a die is fair using the posterior probability density function?

Is N-Pair loss generating a meaningful embedding space?

If $X$ is an observation from a $\text{Binom}(n, p)$, with $0 < p < 1$, how to find the UMVUE of $p^2$, and does it reach the Cramer-Rao lower bound?

ANOVA formulas not matching with correct answer

UMVUE for $λ^{−\lambda}$ where $_1, _2$ are two independent observations from a Poisson$(λ)$ and $λ > 0$ is an unknown parameter.

Most Powerful Test involving hypothetical distribution

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