Statistical inference for spatial Poisson processes /
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| Author / Creator: | Kutoyants, Yu. A. |
|---|---|
| Imprint: | New York : Springer, c1998. |
| Description: | vii, 276 p. ; 24 cm. |
| Language: | English |
| Series: | Lecture notes in statistics ; 134 Lecture notes in statistics (Springer-Verlag) ; v. 134. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/3495718 |
Table of Contents:
- 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.
