Definition: In probability theory, a superexpectation is a quantity that represents the expected value of an event occurring multiple times. It is defined as:
E[X] = β(X_i
P(X_i)) / n
where X is any random variable taking on values in the set {0, 1}, n is the number of trials (in this case, a sample size), and P(X_i) is the probability that event X i occurs.
The superexpectation of an event