query: What is the condition for $Var(\sqrt{n}(\hat\theta-\theta))\to V$ as $n\to \infty$ where $V$ is the asymptotic variance
positive_passages.docid: 16746
positive_passages.text: Limiting moments and asymptotic moments of a statistic
negative_passages.docid: 65259
negative_passages.text: Variance of Normal Order Statistics
negative_passages.docid: 124171
negative_passages.text: Sample variance converge almost surely
negative_passages.docid: 158072
negative_passages.text: Variance of Gaussian linear combination
negative_passages.docid: 157917
negative_passages.text: Calculate the leading order asymptotic behaviour (with two maxima)
negative_passages.docid: 29806
negative_passages.text: Can this statistic be shown not to be sufficient for $\theta$?
negative_passages.docid: 65015
negative_passages.text: Computing $\lim_{n \to \infty} \sqrt[n]{ \int_{0}^{1} (1+x^n)^n dx}$
negative_passages.docid: 114179
negative_passages.text: If $Var(X)=0$ then is $X$ a constant?
negative_passages.docid: 87493
negative_passages.text: Unbiased estimator with minimum variance for $1/\theta$
negative_passages.docid: 63672
negative_passages.text: Understanding a particular evaluation of $\prod\limits_{n=2}^{\infty}\left(1-\frac{1}{n^3}\right)$
negative_passages.docid: 132450
negative_passages.text: What is wrong with the linear regression variance estimator when p+1>n?
negative_passages.docid: 106527
negative_passages.text: Limit of $(\cos1/n)^{n^2}$ when $n\to\infty$
negative_passages.docid: 94712
negative_passages.text: Estimator of Variance of Error
negative_passages.docid: 57344
negative_passages.text: When does asymptotic normality of the Bayesian posterior (Bernstein-von Mises) fail?
negative_passages.docid: 72904
negative_passages.text: Evaluation of $\prod_{n=1}^\infty e\left(\frac{n}{n+1}\right)^{n}\sqrt{\frac{n}{n+1}}$
negative_passages.docid: 19647
negative_passages.text: The limit of a convergent Gaussian random variable sequence is still a Gaussian random variable
negative_passages.docid: 81090
negative_passages.text: Calculate $\lim_{n\to\infty}(\sqrt{n^2+n}-n)$.