query: find joint distribution $\min (X,Y)$ and $W$, where W is a discrete distribution
positive_passages.docid: 43181
positive_passages.text: What is the joint distribution of $Z=\min(X,Y)$ and $I_{Z=X}$?
negative_passages.docid: 34797
negative_passages.text: $E|X-m|$ is minimised at $m$=median
negative_passages.docid: 116975
negative_passages.text: Given $X$ and $Y$ are independent N(0,1) random variables and $Z = \sqrt{X^2+Y^2}$ from the marginal pdf of $Z$
negative_passages.docid: 152642
negative_passages.text: Expectation of Minimum of $n$ i.i.d. uniform random variables.
negative_passages.docid: 129116
negative_passages.text: $P(X<Y)$ where X and Y are exponential with means $2$ and $1$
negative_passages.docid: 27890
negative_passages.text: Finding all possible distributions of a continuous random variable
negative_passages.docid: 29123
negative_passages.text: Multivariate distributions
negative_passages.docid: 110678
negative_passages.text: Obtain marginal CDF from joint CDF by simulation
negative_passages.docid: 108462
negative_passages.text: Distribution of a difference of two Uniform random variables?
negative_passages.docid: 37992
negative_passages.text: Discrete uniform random variable(?) taking all rational values in a closed interval
negative_passages.docid: 95498
negative_passages.text: i.i.d. random variables uniform distribution
negative_passages.docid: 105850
negative_passages.text: Compute $E(X\mid X+Y)$ for independent random variables $X$ and $Y$ with standard exponential distributions
negative_passages.docid: 20267
negative_passages.text: Drawing cumulative distribution function for a discrete variable
negative_passages.docid: 72714
negative_passages.text: Find $P(X\ge 0)$ given distribution of $X$
negative_passages.docid: 91564
negative_passages.text: Find the distribution of $X|X+Y=n$ using MGFs
negative_passages.docid: 9507
negative_passages.text: How to calculate the distribution of the minimum of multiple exponential variables?
negative_passages.docid: 76745
negative_passages.text: Obtaining marginal distributions from the bivariate normal