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### Questions (58)

 14 For intuition, what are some real life examples of uncorrelated but dependent random variables? 11 Bayesian logit model - intuitive explanation? 10 Prove/Disprove $E[1_A | \mathscr{F_t}] = 0 ~\text{or} ~ 1 \ \Rightarrow E[1_A | \mathscr{F_{s}}] = E[1_A | \mathscr{F_t}]$ 8 How exactly do Bayesians define (or interpret?) probability? 8 Conjecture related to Kolmogorov 0-1 Law (for events)

### Reputation (1,714)

 +10 Can we switch integral and expectation by Fubini's theorem? +10 What exactly does it mean to and why must one update prior? +10 Applying Tchebychev's Inequality +10 For intuition, what are some real life examples of uncorrelated but dependent random variables?

 7 Why is p for 8 times heads out of 21 flips not 8/21? 6 Why does $y \text{~} N(X \beta, \sigma^2 V)$ $\implies$ $M^T y \text{~} N(0, \sigma^2 M^T V M)$ 5 How's product moment generating function different from moment generating function? 4 Is $\mathbb{P}(X^2>a)=\mathbb{P}(X>\sqrt{a})$, $a>0$? 2 If $\mathbb{E}[X] = k$ and $\text{Var}[X] = 0$, is $\Pr\left(X = k\right) = 1$?

### Tags (98)

 15 probability × 43 2 self-study × 18 6 reml 2 independence × 12 5 moments × 2 2 distributions × 7 5 mgf 2 linear-model × 5 4 convergence × 4 2 geometric-distribution