Statistical packages have been used for decades to analyze large datasets or to perform mathematically intractable statistical methods. These packages are not capable of working with random variables… Expand

A nonparametric technique for estimating the cumulative intensity function of a nonhomogeneous Poisson process from one or more realizations on an interval is extended here to include realizations… Expand

Abstract Hill stated that “An interesting open problem is to determine which common distributions (or mixtures thereof) satisfy Benford's law …”. This article quantifies compliance with Benford's law… Expand

A nonparametric technique for estimating the cumulative intensity function of a nonhomogeneous Poisson process from one or more realizations is developed. This technique does not require any… Expand

An algorithm for computing the probability density function of the product of two independent random variables, along with an implementation of the algorithm in a computer algebra system, to create an automated algorithm for convolutions of random variables.Expand

Probability distributions are traditionally treated separately in introductory mathematical statistics textbooks. A figure is presented here that shows properties that individual distributions… Expand

For various parameter combinations, the logistic-exponential survival distribution belongs to four common classes of survival distributions: increasing failure rate, decreasing failure rate,… Expand