$X$ and $Y$ are independent Poisson distributed values with means $θ$ and $2θ$. Consider the combined estimator $\gamma = k_1\cdot X + k_2\cdot Y$
4134
Maximum Likelihood Estimate with different parameters
152495
Prove that if $X$ and $Y$ are Normal and independent random variables, $X+Y$ and $X-Y$ are independent
145294
Independence of linear combination of multivariate distribution
129116
$P(X<Y)$ where X and Y are exponential with means $2$ and $1$
25148
Deriving the bivariate Poisson distribution
106140
The sum of two symmetric random variables is symmetric
79445
MLE of $\theta$ when $X_1,\ldots,X_n $ are i.i.d with $P_\theta(x; \theta)=2x/\theta^2$ for $0\le x \le\theta$
75902
Expectation of $\frac{1}{x+1}$ of Poisson distribution
57062
The distribution of the linear combination of Gamma random variables
23603
Joint distribution of $X+Y$ and $\frac{X}{X+Y}$
133729
Sum of normal independent random variables with coefficients
127394
Induction for sum of Poisson distributed random variables
75842
Quotient Distribution of Positive Independent Random Variables
68269
Regression Proof that the point of averages (x,y) lies on the estimated regression line
98101
why this product is no more than the product of the two mean values?
142325
Two independent geometric random variables - proof of sum
34124
Variance of the random sum of a Poisson?