query: What is the UMVUE of $\exp(-2\lambda)$ for X is a random variable with poisson distribution~poisson $(\lambda)$
positive_passages.docid: 16383
positive_passages.text: Confusion in finding conditional expecation of indicator function (Lehmann-Scheffe)
negative_passages.docid: 30749
negative_passages.text: The Number of Exponential Summands in a Fixed Interval is Poisson
negative_passages.docid: 35646
negative_passages.text: $X\sim\mathrm{Poisson}(\lambda_1 = 5)$ and $Y\sim\mathrm{Poisson}(\lambda_2 = 15)$. Let $Z = X + Y$ . Compute $\mathrm{Corr}(X, Z)$.
negative_passages.docid: 115886
negative_passages.text: E/Var of a random variable on three events
negative_passages.docid: 72379
negative_passages.text: Convergence of Poisson random variables with divergent parameter
negative_passages.docid: 144421
negative_passages.text: What is the distribution of the rounded down average of Poisson random variables?
negative_passages.docid: 82323
negative_passages.text: Poisson random variables and Binomial Theorem
negative_passages.docid: 53446
negative_passages.text: Let $\ln X \sim \operatorname{Exp}(1)$ and $X,Y$ i.i.d. What is the distribution of $Z=XY$?
negative_passages.docid: 126077
negative_passages.text: Finding UMVUE for a function of a Bernoulli parameter
negative_passages.docid: 35095
negative_passages.text: Moments of random variable $X$ with PDF $f_X(x)=c\cdot(1 - x^2)$ on $(0,1)$, and PDF of $X^2$
negative_passages.docid: 12407
negative_passages.text: Gamma Distribution out of sum of exponential random variables
negative_passages.docid: 30662
negative_passages.text: $x_{1}...x_{n}$ are independent continuous random variables with common distribution function $F(x)$,compute $E(F(x_{(n)})-F(x_{(1)}))$
negative_passages.docid: 58206
negative_passages.text: Poisson Distribution of sum of two random independent variables $X$, $Y$
negative_passages.docid: 92569
negative_passages.text: Showing that ${\rm E}[X]=\sum_{k=0}^\infty P(X>k)$ for a discrete random variable
negative_passages.docid: 48937
negative_passages.text: Intuition of pdf of a continuous random variable
negative_passages.docid: 127394
negative_passages.text: Induction for sum of Poisson distributed random variables
negative_passages.docid: 64856
negative_passages.text: Finding $E(X\mid X>Y)$ when $X,Y$ are i.i.d $U(0,1)$