query: Attainment of Cramer Rao lower bound for $f_\theta(x) =\theta x^{\theta−1}$
positive_passages.docid: 157612
positive_passages.text: Cramer-Rao Casella Berger 7.38 for exponential family
negative_passages.docid: 128349
negative_passages.text: Expected maximum of sub-Gaussian
negative_passages.docid: 103244
negative_passages.text: $X_i$ follows Bernoulli distribution find UMVUE of $\theta(1-\theta)$
negative_passages.docid: 54849
negative_passages.text: For what values of $\theta$ does $\sum_{1}^{\infty} \frac{e^{i n\theta}}{n}$ Converge?
negative_passages.docid: 35967
negative_passages.text: Prove the order statistic is a minimal sufficient statistic for the logistic pdf $f(x|\theta)=\frac{e^{-(x-\theta)}}{(1+e^{-(x-\theta)})^2}$
negative_passages.docid: 106316
negative_passages.text: Finding a bound on the maximum of the absolute value of normal random variables
negative_passages.docid: 152642
negative_passages.text: Expectation of Minimum of $n$ i.i.d. uniform random variables.
negative_passages.docid: 137232
negative_passages.text: Bounds for the Harmonic k-th partial sum.
negative_passages.docid: 43942
negative_passages.text: $N(\theta,\theta)$: MLE for a Normal where mean=variance
negative_passages.docid: 69207
negative_passages.text: Approximating the locations of the extrema of the sinc function
negative_passages.docid: 105988
negative_passages.text: Find the uniform lower bound of the smallest eigenvalue of a certain matrix
negative_passages.docid: 50451
negative_passages.text: The linear dependence of exponential functions
negative_passages.docid: 108995
negative_passages.text: Prove $|e^{i\theta} -1| \leq |\theta|$
negative_passages.docid: 132595
negative_passages.text: $\sup_{0 \leq M \leq I_{\mathcal{H}_1}} \frac{\operatorname{Tr}[\rho M]}{\operatorname{Tr}[\sigma M]}$ satisfies Data Processing Inequality
negative_passages.docid: 146894
negative_passages.text: Maximum likelihood estimator of $\theta$ from a sample
negative_passages.docid: 157787
negative_passages.text: How does Cramer's rule work?
negative_passages.docid: 86635
negative_passages.text: Optimizing $(X_{n}+c)^{2}$ to show that $P(\overline{X}_{n}\geq \lambda) \leq E(X_{n}^{2})/(EX_{n}^{2}+ \lambda^{2})$