How do I prove: the posterier is proportional to the product of the prior distribution and the likelihood function?
58394
Why is posterior density proportional to prior density times likelihood function?
117207
The distribution of the product of Gaussian variable and Rademacher variable.
38032
Finding the M.G.F of product of two random variables.
25983
Likelihood Ratio Test for Exponential Distribution with a Limited Parameter Space
85790
Product of two random variables that has exponential distribution
116975
Given $X$ and $Y$ are independent N(0,1) random variables and $Z = \sqrt{X^2+Y^2}$ from the marginal pdf of $Z$
35967
Prove the order statistic is a minimal sufficient statistic for the logistic pdf $f(x|\theta)=\frac{e^{-(x-\theta)}}{(1+e^{-(x-\theta)})^2}$
88676
Proof verification : $X_n \to X$ in distribution, $Y_n \to 0$ in probability $\implies$ $X_nY_n \to 0$ in probability
11175
Conjugate prior for a Gamma distribution
158402
Neyman-Pearson lemma: critical region and hypothesis testing
7455
Stats - Likelihood function
19643
Product of beta distributions
156882
Intuitive reason why the Fisher Information of Binomial is inversely proportional to $p(1-p)$
36374
Exercise 1.6.3 from Alon & Spencer's *The Probabilistic Method*: prove that $Pr[|X-Y| \leq 2] \leq 3 Pr[|X-Y| \leq 1]$ for i.i.d. real RVs $X$ and $Y$
74481
Distribution of scalar products of two random unit vectors in $D$ dimensions
79445
MLE of $\theta$ when $X_1,\ldots,X_n $ are i.i.d with $P_\theta(x; \theta)=2x/\theta^2$ for $0\le x \le\theta$
15561
Obtaining a level-$\alpha$ likelihood ratio test for $H_0: \theta = \theta_0$ vs. $H_1: \theta \neq \theta_0$ for $f_\theta (x) = \theta x^{\theta-1}$