user1337

Questions (40)

 19 Advantages of the Exponential Family: why should we study it and use it? 8 What useful properties does the canonical link function have? 4 The IQs from 181 boys aged between 6-7 years old were measured. Calculate its mean's confidence interval for $\alpha = 5\%$ 3 Why do we need to determine the distribution of $\textbf{Y}$ in the multiple linear regression problem? 3 Why normality assumption on linear model implies equivalence between least square estimation and maximum likelihood estimation?

Reputation (498)

 +95 Advantages of the Exponential Family: why should we study it and use it? +5 What useful properties does the canonical link function have? +3 Use the Lehmann-Scheffé theorem to deduce that $\overline{X}$ is an UMVUE estimator for $\theta$ +5 Prove the MLE is an efficient estimator for $\theta$ in the context of Normal distribution

 3 If $X\sim\mathcal{N}(\mu = 1,\sigma = 4)$ find $\textbf{P}(X^2 - 2X \leq 9)$

Tags (59)

 3 mathematical-statistics × 3 0 multiple-regression × 7 3 probability 0 regression × 6 3 pdf 0 exponential-family × 6 0 self-study × 26 0 maximum-likelihood × 5 0 normal-distribution × 8 0 confidence-interval × 4

Accounts (5)

 Mathematics 589 rep 22 silver badges1010 bronze badges Cross Validated 498 rep 1212 bronze badges Stack Overflow 101 rep Meta Stack Exchange 1 rep MathOverflow 1 rep 22 bronze badges