Ernest G. Enns

Stochastic Geometry

Stochastic Geometry involves superimposing random processes onto geometrical objects and measuring various random quantities so obtained. The application of this theory is to STEREOLOGY, which attempts to find properties of objects via the random probes to which we subject them. For example we can find the volume of a body by measuring the lengths of several random secants through the body.

Decision and Game Theory

Decision theory is one person playing a game against God (or nature). When 2 or more persons play against each other, then we have the theory of Games. My interest is in 2 person games where the information available to the players at each move is statistical in nature, so in a sense 2 people play against each other and hope God is on their side. The most interesting games are not zero-sum games.

Operations Research

Operations research has many facets, from linear programming to general optimization techniques. This has applications in diverse fields, such as queueing theory and optimal horse track betting algorithms. In general, any real life problem can be modelled and solved by OR techniques. In many cases statistical simulation is necessary.

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