While lognormal distributions have demonstrated great utility in a number of applications related to decision sciences, practitioners find few – if any – tables of its cumulative distribution function available to support their work. This paper describes a “standardized” form of the lognormal distribution and a methodology by which tables of its cumulative distribution function can be generated...

A model of an angle-spread source, termed the “Gaussian Channel Model” is considered. The cumulative distribution function of the Time-of-Arrival of the multipath components is derived for an arbitrary angle spread. The simple approximate expressions for the Time-of-Arrival cumulative distribution function and probability density function are proposed. Numerical results obtained with the help o...

We derive simple Chebyshev polynomial approximations for the density function and cumulative distribution function of the Chernoff distribution. They provide 6 significant figure accuracy with extreme efficiency.