query: Formal proof that a subsample of a random sample is representative
positive_passages.docid: 18671
positive_passages.text: Subsample of a random sample: random sample?
negative_passages.docid: 10482
negative_passages.text: Prove $(\sum_{i=1}^{n}X_{i},\sum_{i=1}^{n}X_{i}^{2})$ is not a complete statistic for $N(\mu,\mu^2)$ distribution
negative_passages.docid: 99435
negative_passages.text: Proof of the inclusion-exclusion formula in probability
negative_passages.docid: 25618
negative_passages.text: $x,y,z$ independent and uniform random on $[0,1]$, $P(x \geq  yz)$?
negative_passages.docid: 5325
negative_passages.text: Unbiased Estimator for a Uniform Variable Support
negative_passages.docid: 84076
negative_passages.text: Basic intuition about minimal sufficient statistic
negative_passages.docid: 127882
negative_passages.text: Proofs involving orthonormal basis
negative_passages.docid: 108335
negative_passages.text: Approximate order statistics for normal random variables
negative_passages.docid: 112001
negative_passages.text: The sum of $n$ independent normal random variables.
negative_passages.docid: 25533
negative_passages.text: Why is the CDF of a sample uniformly distributed
negative_passages.docid: 32509
negative_passages.text: Proving a statistic is ancillary
negative_passages.docid: 145118
negative_passages.text: How does the proof of Rejection Sampling make sense?
negative_passages.docid: 99361
negative_passages.text: Sample a random rotation in $n$ dimensions
negative_passages.docid: 90215
negative_passages.text: Proof/Derivation of Residual Sum of Squares (Based on Introduction to Statistical Learning)
negative_passages.docid: 139877
negative_passages.text: Square of a uniform random variable
negative_passages.docid: 149358
negative_passages.text: If $Y_1, \ldots, Y_n$ are iid from $Pois(\lambda)$, how to show that the sample mean is a complete sufficient statistic?
negative_passages.docid: 59106
negative_passages.text: Components of an n-dimensional random variable from a uniform distribution are independent