The accurate characterization of input processes for simulation models can require the representation of dependencies among input values. Results are presented on the generation of dependent ...

https://doi.org/10.4169/amer.math.monthly.122.8.786 https://www.jstor.org/stable/10.4169/amer.math.monthly.122.8.786 We prove a simple exponential inequality which ...

Density functions are nonnegative for all real numbers but greater than zero only at a finite or countably infinite number of points. Density functions are nonnegative for all real numbers and are ...

Abstract: This paper derives a new type of formula for the probability that, among a collection of items with s-independent exponential times to failure, a certain subset of them fails in a given ...

Abstract: In this correspondence, we give a sufficient condition for the exponential decay of the tail probability of a nonnegative random variable. We consider the Laplace-Stieltjes transform of the ...