It is shown that under fairly mild conditions linear combinations of independent normally distributed random variables with random coefficients tend to zero almost everywhere. The result is applied to ...

Abstract: Approximating the sum of Log-Normal random variables (RVs) is a long-standing open issue, in the old and recent literature, and many approaches have been proposed to deal with that problem.

On a certain track team, the runners all take between 4 and 7 minutes to finish a mile. The probability density function for the length of time it takes a runner to ...