Author | Kutoyants, Yu. A. author |
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Title | Statistical Inference for Spatial Poisson Processes [electronic resource] / by Yu. A. Kutoyants |
Imprint | New York, NY : Springer New York : Imprint: Springer, 1998 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-1706-0 |
Descript | VIII, 279 p. 2 illus. online resource |
1 Auxiliary Results -- 1.1 Poisson process -- 1.2 Estimation problems -- 2 First Properties of Estimators -- 2.1 Asymptotic of the maximum likelihood and Bayesian estimators -- 2.2 Minimum distance estimation -- 2.3 Special models of Poisson processes -- 3 Asymptotic Expansions -- 3.1 Expansion of the MLE -- 3.2 Expansion of the Bayes estimator -- 3.3 Expansion of the minimum distance estimator -- 3.4 Expansion of the distribution functions -- 4 Nonstandard Problems -- 4.1 Misspecified model -- 4.2 Nonidentifiable model -- 4.3 Optimal choice of observation windows -- 4.4 Optimal choice of intensity function -- 5 The Change-Point Problems -- 5.1 Phase and frequency estimation -- 5.2 Chess-field problem -- 5.3 Top-hat problem -- 6 Nonparametric Estimation -- 6.1 Intensity measure estimation -- 6.2 Intensity function estimation -- Remarks