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Time series,point processes,and hybrids
Authors:David R Brillinger
Abstract:Techniques developed for the study of time series, point processes, and marked point processes can suggest corresponding techniques for each other, and common techniques can be recognized. In this paper connections are drawn based on conceptual foundations, basic parameters, analyses, displays, algorithms, problems, models. The definitions and techniques are brought out by specific scientific problems. The emphasis is on the single-realization stationary case and on the use of second- and third-order moments to help understand the realization. The tool of stacking, at a particular period, is employed in several of the examples.
Keywords:Bispectrum  earthquake  marked point process  microtubule  motility  point process  seal  stacking  stationary increments  tide  time series    Primary 60G12  60G55  60G57  62M10  62M15
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