Modes of Convergence

Convergence

Modes of Convergence

  • $$if \ X_n \ \overset{P}{\rightarrow} \ X \ and \ C \ is \ a \ constant, \ CX_n \ \overset{...}

Properties of Convergence and Convergence almost Surely

Convergence

Properties of Convergence and Convergence almost Surely

  • $$if \ X_n \ \overset{P}{\rightarrow} \ X \ and \ Y_n \ \overset{P}{\rightarrow} \ Y \...}

Properties of Convergence Almost Surely, Convergence In r^th Mean and convergence in Distribution

Convergence

Properties of Convergence Almost Surely, Convergence In r^th Mean and convergence in Distribution

  • $$If \ X_n \ \overset{a.s.}{\rightarrow} \ X, \ then \ X_n \ \overset{P}{\rightarrow} \ X.$...}