Statistical inference for spatial poisson processes

Descripción:

Ehemaliges Bibliotheksexemplar mit Stempel innen und Bibliothekssignatur auf Einband in gutem Zustand. Ex-library with stamp and catalogue number on spine. GOOD condition, some traces of use. Sk 904 9780387985626 Sprache: Englisch Gewicht in Gramm: 550. N° de ref. del artículo 2079392

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Sinopsis:

Reseña del editor: This work is devoted to several problems of parametric (mainly) and nonparametric estimation through the observation of Poisson processes defined on general spaces. Poisson processes are quite popular in applied research and therefore they attract the attention of many statisticians. There are a lot of good books on point processes and many of them contain chapters devoted to statistical inference for general and partic­ ular models of processes. There are even chapters on statistical estimation problems for inhomogeneous Poisson processes in asymptotic statements. Nevertheless it seems that the asymptotic theory of estimation for nonlinear models of Poisson processes needs some development. Here nonlinear means the models of inhomogeneous Pois­ son processes with intensity function nonlinearly depending on unknown parameters. In such situations the estimators usually cannot be written in exact form and are given as solutions of some equations. However the models can be quite fruitful in en­ gineering problems and the existing computing algorithms are sufficiently powerful to calculate these estimators. Therefore the properties of estimators can be interesting too.