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Titlebook: An Introduction to the Theory of Point Processes; D. J. Daley,D. Vere-Jones Textbook 19981st edition Springer Science+Business Media New Y

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Renewal Processes,l that is available, for example, in Volume II of Feller (1966); rather, we have selected some features that either are complementary to Feller’s treatment or are relevant to more general point processes.
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Convergence Concepts and Limit Theorems,cient conditions for weak convergence, relating this concept to other possible definitions of convergence, and applying it to some near-classical questions concerning the convergence of superpositions, thinnings, and translations of point processes.
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Stationary Point Processes and Random Measures,ry of stationary continuous processes, others can be treated as special cases of more general theories such as concern processes with stationary increments or stationary random distributions, while still other aspects are peculiar to point processes and random measures.
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Finite Point Processes, individual points can be treated as independently and identically distributed over the region. This prompts an alternative approach to specifying the structure of point processes in a bounded domain or, more generally, of .. Such a process is called a ..
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Spectral Theory,ous (especially, Gaussian) context, for reasons already touched on in previous chapters: the mean square representations rarely preserve the character of the original trajectories of the process, and the linear predictors to which they give rise can often be improved upon by quite simple nonlinear predictors (cf Chapter 13).
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