Type of Document Dissertation Author Denby, Daniel Caleb URN etd-06022010-020319 Title A race toward the origin between n random walks Degree PhD Department Statistics Advisory Committee
Advisor Name Title Conolly, Brian W. Committee Chair Fabrycky, Wolter J. Committee Member Harshbarger, Boyd Committee Member Jensen, Donald R. Committee Member Kramer, Clyde Y. Committee Member Myers, Raymond H. Committee Member Keywords
- Random walks (Mathematics)
Date of Defense 1968-05-05 Availability restricted AbstractIn this dissertation we shall be concerned with a particular class of practical problems whose theoretical models can all be analyzed in terms of random walks and certain of their associated stochastic processes. It is the purpose of this dissertation to develop the requisite theory - not to be found in the standard works, and to describe some of the applications.
The class of walks with which we shall be concerned is one-dimensional and discrete. That is to say we consider an imaginary particle which moves on a line (parallel to the x-axis in Cartesian space, say) according to certain probabilistic laws. The motive consists of jumps of discrete amounts (possibly zero) at time epochs which may be regularly spaced (discrete time; ·discrete walk), or which possess a continuous probability density function (continuous time, discrete walk).
[from the Introduction]
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