Signed Baire measure - Show that each bounded function F of bounded variation gives rise to a finite signed Baire measure v such that
v (a,b] = F(b+) minus F(a+)
Wilcoxon signed ranks test statistic - Four randomly selected students took a particular test twice and obtained the following scores:
Student First attempt Second attempt
1 47 51
2 53 ...
Difference Between Measurable Functions. - I have been told that both 1 and 2 are true, but I don't understand why. Since the set {x: f(x)=g(x)} is null, it seems to me that d(x) should be only be zero on the null set, whereas apparently it is ...
Almost every point is a density point - A point x of a measurable subset A of the reals is called a density point if
m( A intersection [x-h, x+h] ) / 2h goes to 1 as h goes to 0
where m is the Lebesgue measure.
Prove that if A is a ...