query: Min and max of exponentialy distributed random variables
positive_passages.docid: 26833
positive_passages.text: Prove that $\mathbb P(X>Y) =\frac{b}{a + b}$ if $X, Y$ are exponentially distributed with parameters $a$ and $b$.
negative_passages.docid: 84694
negative_passages.text: Deriving ordered statistics minimum cdf
negative_passages.docid: 72813
negative_passages.text: If $X$ and $Y$ are uniformly distributed on $(0,1)$, what is the distribution of $\max(X,Y)/\min(X,Y)$?
negative_passages.docid: 136686
negative_passages.text: Find the almost sure limit of $X_n/n$, where each random variable $X_n$ has a Poisson distribution with parameter $n$
negative_passages.docid: 119019
negative_passages.text: Minimum CDF of random variables
negative_passages.docid: 152642
negative_passages.text: Expectation of Minimum of $n$ i.i.d. uniform random variables.
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: 40243
negative_passages.text: Pdf of the difference of two exponentially distributed random variables
negative_passages.docid: 14079
negative_passages.text: On the proof that every positive continuous random variable with the memoryless property is exponentially distributed
negative_passages.docid: 19148
negative_passages.text: PDF of a sum of exponential random variables
negative_passages.docid: 59979
negative_passages.text: How do you calculate the probability density function of the maximum of a sample of IID uniform random variables?
negative_passages.docid: 104847
negative_passages.text: Minimum covariance of 2 random variables given the covariance of each with a third random variable
negative_passages.docid: 11535
negative_passages.text: Square root of an inverse gamma distributed random variable
negative_passages.docid: 109663
negative_passages.text: Random variables for which Markov, Chebyshev inequalities are tight
negative_passages.docid: 77412
negative_passages.text: Product of $\min$ and $\max$ of $n$ i.i.d. random variables.
negative_passages.docid: 95084
negative_passages.text: What is the expected value of $\min\{|X|,|Y|\}/\max\{|X|,|Y|\}$ assuming $X$ and $Y$ are independent?
negative_passages.docid: 61758
negative_passages.text: Limit question on independent random variables (Exercise 4.2.4 from Grimmett and Stirzaker)