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L1 Integrable Functions
Last updated Nov 1, 2022
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A Measureable Function is less than or equal to another iff all its integrals are less than or equal to the others
A Sequence of L1 Random Variables is L1 convergent iff they converge in probability and are Uniformly Integrable
Characteristic Function
Convergence in L1 implies convergence of Integrals
Extended L1 Functions
L1 is a Complete Metric Space
Martingale Difference Sequence
Sum of Independent Random Variables is in L1 if and only if Random Variables are in L1
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