query: Showing Sufficiency of a Statistic
positive_passages.docid: 29806
positive_passages.text: Can this statistic be shown not to be sufficient for $\theta$?
negative_passages.docid: 140857
negative_passages.text: Using Bernoulli's Inequality to prove an inequality
negative_passages.docid: 25983
negative_passages.text: Likelihood Ratio Test for Exponential Distribution with a Limited Parameter Space
negative_passages.docid: 94509
negative_passages.text: Statistical methods for data where only a minimum/maximum value is known
negative_passages.docid: 68023
negative_passages.text: Estimating a distribution based on three percentiles
negative_passages.docid: 36001
negative_passages.text: Using the LRT statistic to test $H_0$ vs $H_1$
negative_passages.docid: 30082
negative_passages.text: Using regression to prove that X is a necessary / condition condition for Y
negative_passages.docid: 96906
negative_passages.text: Calculating statistics on subsets of data
negative_passages.docid: 121692
negative_passages.text: Showing that estimator is consistent
negative_passages.docid: 109015
negative_passages.text: How to show that 0.5Y is an unbiased estimator of alpha?
negative_passages.docid: 122328
negative_passages.text: Justifying the Normal Approx to the Binomial Distribution through MGFs
negative_passages.docid: 23119
negative_passages.text: An application of Jensen's Inequality
negative_passages.docid: 84076
negative_passages.text: Basic intuition about minimal sufficient statistic
negative_passages.docid: 134049
negative_passages.text: Showing an inequality is valid
negative_passages.docid: 116689
negative_passages.text: Joint distribution of range $(R=X_n-X_1)$ and mid-range $(V=\frac{1}{2}(X_1+X_n)$order statistics
negative_passages.docid: 138798
negative_passages.text: Independence and conditional distribution
negative_passages.docid: 7207
negative_passages.text: Statistics: sequences of independent and identically distributed random variables