query: Showing that two random variables are independent
positive_passages.docid: 19973
positive_passages.text: If $X$ and $Y$ are independent $N(0,\sigma^2)$, then $X^2+Y^2$ and $X/Y$ are independent?
negative_passages.docid: 42451
negative_passages.text: Sum of two uniform random variables
negative_passages.docid: 88860
negative_passages.text: The product of two lognormal random variables
negative_passages.docid: 103780
negative_passages.text: Independence of disjoint events
negative_passages.docid: 129598
negative_passages.text: Linear transformation of random variables
negative_passages.docid: 33907
negative_passages.text: The product of a normal and Rademacher variables, independent from each other
negative_passages.docid: 65789
negative_passages.text: Independence of thermodynamic variables
negative_passages.docid: 20875
negative_passages.text: Is the product of two Gaussian random variables also a Gaussian?
negative_passages.docid: 28878
negative_passages.text: Convex function of independent vs. correlated random variables redux
negative_passages.docid: 38032
negative_passages.text: Finding the M.G.F of product of two random variables.
negative_passages.docid: 62130
negative_passages.text: Distribution of ratio between two independent uniform random variables
negative_passages.docid: 9665
negative_passages.text: Proof of the independence of the sample mean and sample variance
negative_passages.docid: 46865
negative_passages.text: Proof of linearity for expectation given random variables are dependent
negative_passages.docid: 20750
negative_passages.text: Proving an equality regarding fully independent events
negative_passages.docid: 79457
negative_passages.text: Geometric random variables $X_1:G(p_1)$ $X_2:G(p_2)$ $X_3:G(p_3)$ are independent, prove the following :
negative_passages.docid: 85790
negative_passages.text: Product of two random variables that has exponential distribution
negative_passages.docid: 133729
negative_passages.text: Sum of normal independent random variables with coefficients