2
votes
1answer
74 views

Shapiro test and transformation

I am playing with shapiro.test from R and checking for non-normality of error variance. ...
2
votes
1answer
142 views

Sum of normally distributed variables is a normally distributed variable?

Consider two Wiener processes: $$ \begin{aligned} X_a &\sim\mathcal N(0,a) \\ X_{a-b} &\sim\mathcal N(0,a-b) \end{aligned} $$ How do I show that: $$ X_a - X_{a-b} \sim\mathcal N(.,.) $$ That ...
0
votes
2answers
838 views

How to assess normality in variables to determine whether to use Pearson's correlation or Spearman's r (or Kendall)?

I have one dependent variable and am trying to see if any of my 12 independent variables correlate with it, however I need to check everything for normality. I understand I need to look at skewness ...
3
votes
3answers
968 views

Calculating the error of Bayes classifier analytically

If two classes $w_1$ and $w_2$ have normal distribution with known parameters ($M_1$, $M_2$ as their means and $\Sigma_1$,$\Sigma_2$ are their covariances) how we can calculate error of the Bayes ...