Concepts3
📚TheoryAdvanced
Measure Theory
Measure theory generalizes length, area, and probability to very flexible spaces while keeping countable additivity intact.
#measure theory#sigma-algebra#lebesgue integral+12
📚TheoryIntermediate
Probability Theory
Probability theory formalizes uncertainty using a sample space, events, and a probability measure that obeys clear axioms.
#probability measure#random variable#expectation+12
∑MathIntermediate
Linearity of Expectation Applications
Linearity of expectation says the expected value of a sum equals the sum of expected values, even if the variables are dependent.
#linearity of expectation#indicator variables#expected inversions+12