query: The density of the law of cosines applied on two normally distributed random variables
positive_passages.docid: 16434
positive_passages.text: Finding the distribution of $5X_{1}^2+2X_{1}X_{2}+X_{2}^2$
negative_passages.docid: 100916
negative_passages.text: Finding $\mathrm{Cov}(X,Y)$ and $E(X\mid Y=y)$ given the joint density of $(X,Y)$
negative_passages.docid: 85790
negative_passages.text: Product of two random variables that has exponential distribution
negative_passages.docid: 25403
negative_passages.text: Simulating ratio of two independent normal variables
negative_passages.docid: 131931
negative_passages.text: Derivation of the density function of student t-distribution from this big integral.
negative_passages.docid: 77774
negative_passages.text: Distribution of sums and differences of n correlated normal random variables
negative_passages.docid: 76745
negative_passages.text: Obtaining marginal distributions from the bivariate normal
negative_passages.docid: 124692
negative_passages.text: Distribution of the maximum of two correlated normal variables
negative_passages.docid: 80965
negative_passages.text: Computation of distribution parameters for the maximum of two random variables
negative_passages.docid: 124728
negative_passages.text: Density of random variables
negative_passages.docid: 54769
negative_passages.text: Distribution of sine of uniform random variable on $[0, 2\pi]$
negative_passages.docid: 62130
negative_passages.text: Distribution of ratio between two independent uniform random variables
negative_passages.docid: 131626
negative_passages.text: Finding the distribution of $\|X-\mu \|_\Sigma^2$ with $X \sim N(\mu,\Sigma)$
negative_passages.docid: 42451
negative_passages.text: Sum of two uniform random variables
negative_passages.docid: 6077
negative_passages.text: Expectation of max of two normal random variables
negative_passages.docid: 152495
negative_passages.text: Prove that if $X$ and $Y$ are Normal and independent random variables, $X+Y$ and $X-Y$ are independent
negative_passages.docid: 100600
negative_passages.text: Linear combination of two dependent multivariate normal random variables