Abstract: It is well known that the entropy H(X) of a discrete random variable X is always greater than or equal to the entropy H(f(X)) of a function f of X, with equality if and only if f is ...

Abstract: Sums of exponentially distributed random variables (RVs) play important roles in performance analysis of various communication systems. Their logarithmic expectations can not only facilitate ...

The lyrics, of course, are from the beloved Rodgers and Hammerstein musical (1959) and later film (1965), The Sound of Music, sung by the Sisters of Nonnberg Abbey as they try to make sense of the ...