List questions from statistical-inference

Published on 08 Mar 2016 - 0:14

98

Views

If $Y_1, \ldots, Y_n \sim Poisson(\lambda)$ are iid, how to show that $E(Y_1 | T = \sum_{i=1}^{n}Y_i) = \frac{T}{n}$?

Published on 02 Apr 2026 - 23:41

84

Views

Test if the theory fits the data

Published on 29 Mar 2026 - 15:02

113

Views

Distribution of parameter under the null hypothesis for mixture distributions

Published on 30 Mar 2026 - 15:18

222

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Rejection region

Published on 11 Mar 2016 - 2:34

2.4k

Views

Do unbiased estimators have to be exactly equal to the true value of the parameter?

Published on 30 Mar 2026 - 2:11

1.6k

Views

Given the table, calculate the table of joint probability of $A$ and $B$.

Published on 12 Mar 2016 - 0:43

25

Views

Why aren't the degrees of freedom included in the confidence interval formula?

Published on 12 Mar 2016 - 2:17

632

Views

Bayesian inference for sum of random variables

Published on 01 Apr 2026 - 5:08

1.9k

Views

Residual plot in the logarithmic model.

Published on 03 Apr 2026 - 0:17

161

Views

Why can we simply pool the realized observations in a permutation test?

Published on 14 Mar 2016 - 1:15

38

Views

confidence about range of standard deviation

Published on 14 Mar 2016 - 18:43

85

Views

Statistics for Sports League Qualification

Published on 14 Mar 2016 - 18:52

73

Views

Definition of Power and relationship with Type II error

Published on 17 Mar 2016 - 0:36

28

Views

Can I bound $P[R > x + \epsilon]$ independently of R?

Published on 31 Mar 2026 - 12:45

List Question

Sufficient statistic for Bernoulli r.v.

If $Y_1, \ldots, Y_n \sim Poisson(\lambda)$ are iid, how to show that $E(Y_1 | T = \sum_{i=1}^{n}Y_i) = \frac{T}{n}$?

Test if the theory fits the data

Distribution of parameter under the null hypothesis for mixture distributions

Rejection region

Do unbiased estimators have to be exactly equal to the true value of the parameter?

Given the table, calculate the table of joint probability of $A$ and $B$.

Why aren't the degrees of freedom included in the confidence interval formula?

Bayesian inference for sum of random variables

Residual plot in the logarithmic model.

Why can we simply pool the realized observations in a permutation test?

confidence about range of standard deviation

Statistics for Sports League Qualification

Definition of Power and relationship with Type II error

Can I bound $P[R > x + \epsilon]$ independently of R?

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