The asymptotic distribution of the range and normalized range of the sum of n independent variables is derived using the theory of Brownian motion. The purpose of the Institute of Mathematical ...

Let {Xk, k ≥ 1} be a sequence of independent, identically distributed nonnegative random variables with common distribution function F and finite expectation $\mu > 0$. Under the assumption that the ...

Expected value is the anticipated value for an investment at some point in the future and is an important concept for investors seeking to balance risk with reward.