List questions from delta-method

112

Views

Did I find a generating function for assigning values to $\mathsf EX^{-n}$, $X\sim\mathcal N(\mu,\sigma^2)$, $n=1,2,\dots$?

Published on 25 Mar 2026 - 15:17

311

Views

Does sequence convergence implies convergence in probability?

Published on 15 Jul 2021 - 19:45

417

Views

Proof of general delta method

Published on 06 Sep 2021 - 23:35

548

Views

Finding limiting distribution with delta method

Published on 06 Oct 2021 - 15:09

56

Views

Find the limit of $\Pi_n$ in distribution

Published on 10 Nov 2021 - 18:35

76

Views

Probabilities , Central limit theorem

Published on 27 Dec 2021 - 12:31

78

Views

What is the distribution of functions of random variables?

Published on 31 Dec 2021 - 18:14

38

Views

Let $Y=g(X)$ with $X\sim F_X$ and $Y^\ast=g(\mu_X)+g^\prime(\mu_X)(X-\mu_X)$. Under what conditions does $Y\overset{d}{\to}Y^\ast$?

Published on 14 Feb 2022 - 19:19

412

Views

What exactly do delta method estimates of moments for $1/\bar X_n$, $\bar X_n\sim\mathcal N(\mu,\sigma^2/n)$ approximate? (not as simple as you think)

Published on 25 Mar 2026 - 16:40

84

Views

Covariance of normalized variables

Published on 29 Mar 2022 - 9:38

75

Views

Asymptotic distribution of $T= \frac{\hat{p_2}-\hat{p_1}}{\sqrt{\frac{2 \hat{p} \hat{q}}{n}}}$

Published on 13 Aug 2022 - 22:10

334

Views

Asymptotic variance of a consistent estimator of gamma random variables

Published on 16 Sep 2022 - 18:43

203

Views

4th moment of the sample mean estimator

Published on 24 Nov 2022 - 12:23

86

Views

Finding the asymptotic variance of an estimator

Published on 26 Jan 2023 - 15:41

List Question

Did I find a generating function for assigning values to $\mathsf EX^{-n}$, $X\sim\mathcal N(\mu,\sigma^2)$, $n=1,2,\dots$?

Does sequence convergence implies convergence in probability?

Proof of general delta method

Finding limiting distribution with delta method

Find the limit of $\Pi_n$ in distribution

Probabilities , Central limit theorem

What is the distribution of functions of random variables?

Let $Y=g(X)$ with $X\sim F_X$ and $Y^\ast=g(\mu_X)+g^\prime(\mu_X)(X-\mu_X)$. Under what conditions does $Y\overset{d}{\to}Y^\ast$?

What exactly do delta method estimates of moments for $1/\bar X_n$, $\bar X_n\sim\mathcal N(\mu,\sigma^2/n)$ approximate? (not as simple as you think)

Covariance of normalized variables

Asymptotic distribution of $T= \frac{\hat{p_2}-\hat{p_1}}{\sqrt{\frac{2 \hat{p} \hat{q}}{n}}}$

Asymptotic variance of a consistent estimator of gamma random variables

4th moment of the sample mean estimator

Finding the asymptotic variance of an estimator

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