query: Distribution for $Y = \sqrt{X_1^2 + X_2^2}$, when $X_1, X_2$ are dependent and normally distributed with different variance?
positive_passages.docid: 42017
positive_passages.text: What is the distribution of the Euclidean distance between two normally distributed random variables?
negative_passages.docid: 22586
negative_passages.text: Distribution of $(XY)^Z$ for $(X,Y,Z)$ i.i.d. uniform on $(0,1)$
negative_passages.docid: 111749
negative_passages.text: Mean and variance of Squared Gaussian: $Y=X^2$ where: $X\sim\mathcal{N}(0,\sigma^2)$?
negative_passages.docid: 93185
negative_passages.text: asymptotic distribution of $\sqrt{n}(\hat\theta_n-\theta)$ to determine the efficiency of $\hat\theta_n$?
negative_passages.docid: 117207
negative_passages.text: The distribution of the product of Gaussian variable and Rademacher variable.
negative_passages.docid: 142187
negative_passages.text: Distributions other than the normal where mean and variance are independent
negative_passages.docid: 68301
negative_passages.text: Determining beta distribution parameters $\alpha$ and $\beta$ from two arbitrary points (quantiles)
negative_passages.docid: 65784
negative_passages.text: If $X,Y$ are independent $\chi ^2$ with $m$ and $n$ degrees of freedom, then $\frac{X}{X+Y} \sim\beta(m/2, n/2)$
negative_passages.docid: 83877
negative_passages.text: Distribution of the square of a non-standard normal random variable
negative_passages.docid: 50822
negative_passages.text: Distribution of a logit transform of a normal variable
negative_passages.docid: 67856
negative_passages.text: Normal distribution and logarithms
negative_passages.docid: 99507
negative_passages.text: Pdf of the square of a standard normal random variable
negative_passages.docid: 29407
negative_passages.text: Distribution of multivariate Gaussian conditional on value of linear function
negative_passages.docid: 49160
negative_passages.text: Joint distribution of two dependent variables
negative_passages.docid: 85790
negative_passages.text: Product of two random variables that has exponential distribution
negative_passages.docid: 80430
negative_passages.text: What is the distribution of the sum of non i.i.d. gaussian variates?
negative_passages.docid: 88511
negative_passages.text: Variance of product of dependent variables