From 1972 to 1974 he did research on nonlinear continuous-time estimation theor). at Harvard University. He is currently a Principal Engineer at Raytheon Company, Wayland. MA. on the staff of the Advanced System Enpeering Department. He has developed, analyzed, and tested numerous algorithms for both exoatmospheric and endoatmospheric radar applications, including Cobra Dane, PAVE PAWS, Cobra Judy, and Sentry, as well as air traffic control and shipboard fire control systems. These algorithms include Kalman filters, track initiation, object classification, satellite versus missile discrimination, and radar pulse scheduling. In addition, he has analqzed radar system performance considering the effects of multiple target interference, jamming, ducting, Aurora, tropospheric refraction, ionospheric perturbations, target wake, and rocket exhaust plume. His present areas of interest are nonlinear discrete-time estimation theory and the use of adaptive Kalman filters for pattern recognition. Mr. Daum is a member of Tau Beta Pi and Eta Kappa Nu. Robert J. Fikgerald was born in Hamilton, Ont., Canada. He received the B.A.Sc. degree from the
The authors recently derived a method for assessing stochastic randomness in three dimensional Euclidean space. The method was derived from a nearest neighbor spatial Poisson process. An alternative probability model based on a box-counting method derived from a partial sum of a Poisson series is presented in this paper. The performance of the method is evaluated through Monte Carlo simulations with synthetically constructed random distributions. A comparison between the new discrete distribution method and the initial distance method showed that a greater likelihood of detecting randomness existed among populations with the box-counting method.
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