Random Services


Probability, Mathematical Statistics, and Stochastic Processes

Random is a a comprehensive, interactive, web-based text in probability, mathematical statistics, and stochastic processes. Random includes expository text, interactive apps, data sets, biographical sketches, an object library, and more.

Probability on Graphs and Semigroups:
Abstract Reliability Theory

This is a research monograph that studies concepts in classical reliability theory in an abstract setting. Generalized graphs (consisting of a set and a binary relation) are the natural home for generalizations of the reliability function, failure rate function, and most importantly, constant rate distributions. Certain semigroups are the natural home for generalizations of memoryless and exponential distributions. The two abstract settings are closely related since there is a natural graph associated with a semigroup.

Alabama Healthcare Projects

These are healthcare projects for the state of Alabama that focus primarily on the location of medical resources of all types and the determination of underserved areas.

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