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Functional Estimation For Density, Regression Models And Processes (Second Edition)

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AuthorPons Odile
ISBN9789811272837
Published LanguageEnglish
Publication Year2024
PublisherWorld Scientific
BindingHardback
Original Price$88.00
Pages260
Ships By7-8 days
SKU: WS-3624 Categories: ,

Description

Nonparametric kernel estimators apply to the statistical analysis of independent or dependent sequences of random variables and for samples of continuous or discrete processes. The optimization of these procedures is based on the choice of a bandwidth that minimizes an estimation error and the weak convergence of the estimators is proved. This book introduces new mathematical results on statistical methods for the density and regression functions presented in the mathematical literature and for functions defining more complex models such as the models for the intensity of point processes, for the drift and variance of auto-regressive diffusions and the single-index regression models.

This second edition presents minimax properties with Lp risks, for a real p larger than one, and optimal convergence results for new kernel estimators of function defining processes: models for multidimensional variables, periodic intensities, estimators of the distribution functions of censored and truncated variables, estimation in frailty models, estimators for time dependent diffusions, for spatial diffusions and for diffusions with stochastic volatility.

Additional information

Author

ISBN

Published Language

Publication Year

Publisher

Binding

Original Price

Pages

260

Ships By

7-8 days