query: Sum and difference of independent normal variables are independent?
positive_passages.docid: 145294
positive_passages.text: Independence of linear combination of multivariate distribution
negative_passages.docid: 33907
negative_passages.text: The product of a normal and Rademacher variables, independent from each other
negative_passages.docid: 110894
negative_passages.text: Does the variance of a sum equal a double sum of covariances?
negative_passages.docid: 20728
negative_passages.text: Proof that this is independent
negative_passages.docid: 105691
negative_passages.text: Showing that the sample mean and variance are independent by showing two distribution are the same
negative_passages.docid: 77774
negative_passages.text: Distribution of sums and differences of n correlated normal random variables
negative_passages.docid: 14664
negative_passages.text: Sum of indepedent random variables and a constant
negative_passages.docid: 45220
negative_passages.text: Proving the sum of two independent Cauchy Random Variables is Cauchy
negative_passages.docid: 112001
negative_passages.text: The sum of $n$ independent normal random variables.
negative_passages.docid: 119529
negative_passages.text: Is joint normality a necessary condition for the sum of normal random variables to be normal?
negative_passages.docid: 69458
negative_passages.text: Interpretation of Standard Deviation independent of the distribution?
negative_passages.docid: 150591
negative_passages.text: Sum of two normal products is Laplace?
negative_passages.docid: 39958
negative_passages.text: Does the variance of a sum equal the sum of the variances?
negative_passages.docid: 142818
negative_passages.text: X,Y are independent standard normal distributed then what is the distribution of $\frac{X}{X+Y}$
negative_passages.docid: 57055
negative_passages.text: Are $|X|$ and $\operatorname{sgn}(X)$ independent?
negative_passages.docid: 79573
negative_passages.text: linear combination and univariate normal
negative_passages.docid: 143732
negative_passages.text: Prove random variable $Y_0$ and $\sigma$-algebra $\mathscr{R}$ are independent.