Revision as of 19:41, 30 March 2019 edit Michael Hardy (talk \| contribs) Administrators 210,577 edits No edit summary ← Previous edit		Revision as of 19:41, 30 March 2019 edit undo Michael Hardy (talk \| contribs) Administrators 210,577 edits →Convergence almost surely Next edit →
Line 78: \Pr\Big(\lim_{n\to\infty}g(X_n) = g(X)\Big) &\geq \Pr\Big(\lim_{n\to\infty}g(X_n) = g(X),\ X\notin D_g\Big) \\ &\geq \Pr\Big(\lim_{n\to\infty}X_n = X,\ X\notin D_g\Big) = 1., \end{align}</math> because the intersection of two almost sure events is almost sure.

Continuous mapping theorem: Difference between revisions