<Table> <Tr> <Td> <P> X _̄ n → a.s. μ when n → ∞ . (\ displaystyle (\ begin (matrix) () \ \ (\ bar (X)) _ (n) \ (\ xrightarrow (\ text (a.s.))) \ \ mu \ qquad (\ textrm (when)) \ n \ to \ infty . \ \ () \ end (matrix))) </P> </Td> <Td> <Table> <Tr> <Td> <P> </P> </Td> <Td> <P> </P> </Td> <Td> <P> </P> </Td> </Tr> <Tr> <Td> <P> </P> </Td> </Tr> </Table> </Td> <Td> <P> (law . 3) </P> </Td> </Tr> </Table> <Tr> <Td> <P> X _̄ n → a.s. μ when n → ∞ . (\ displaystyle (\ begin (matrix) () \ \ (\ bar (X)) _ (n) \ (\ xrightarrow (\ text (a.s.))) \ \ mu \ qquad (\ textrm (when)) \ n \ to \ infty . \ \ () \ end (matrix))) </P> </Td> <Td> <Table> <Tr> <Td> <P> </P> </Td> <Td> <P> </P> </Td> <Td> <P> </P> </Td> </Tr> <Tr> <Td> <P> </P> </Td> </Tr> </Table> </Td> <Td> <P> (law . 3) </P> </Td> </Tr> <P> X _̄ n → a.s. μ when n → ∞ . (\ displaystyle (\ begin (matrix) () \ \ (\ bar (X)) _ (n) \ (\ xrightarrow (\ text (a.s.))) \ \ mu \ qquad (\ textrm (when)) \ n \ to \ infty . \ \ () \ end (matrix))) </P> <Table> <Tr> <Td> <P> </P> </Td> <Td> <P> </P> </Td> <Td> <P> </P> </Td> </Tr> <Tr> <Td> <P> </P> </Td> </Tr> </Table>

Difference between weak law and strong law of large numbers