Random Point Processes in Time and Space
This senior graduate level textbook is the second revised edition of the textbook "Random Point Processes", written by D.L.Snyder and published in ... Show synopsis This senior graduate level textbook is the second revised edition of the textbook "Random Point Processes", written by D.L.Snyder and published in 1975. Its main subject area is point processes on multidimensional spaces, especially processes in two dimensions, reflecting the increase that has taken place in the use of point-process models for the description of data from which images of objects of interest are formed in a wide variety of scientific and engineering disciplines. Research done by the authors at the Biomedical Computer Laboratory at Washington University has resulted in newly developed models for position emission tomography and electron-microscopic autoradiography. All the applications are examples of nonparametric density estimation, which help provide new results concerning constrained estimation techniques. For these applications, the use of unconstrained maximum-likelihood estimation fails because the estimates are not consistent in the statistical sense; they do not converge, with increasing amounts of data, towards the quantity being estimated and regularization of the estimates is therefore considered essential. This graduate textbook on communications, signal processing and numerical mathematics is intended for the use of graduate students, researchers and practising engineers.