Author: Stella Veronica DavidPublisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
Central Limit Theorems for Empirical Product Densities of Stationary Point Processes
Author: Stella Veronica DavidCentral Limit Theorems for Empirical Product Densities of Stationary Point Processes
Author: Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
In the present work we investigate kernel-type estimators for product densities and for the pair correlation function for stationary spatial point processes. In the setting of Brillinger-mixing point processes we present central limit theorems for these estimators and for the integrated squared error of the estimators for the second-order product density and the pair correlation function. Based on these central limit theorems we can construct asymptotic goodness-of-fit tests for the distribution of a stationary point process.
Central Limit Theorems for Empirical Product Densities of Stationary Point Processes
Author: Lothar HeinrichCentral Limit Theorem for the Integrated Squared Error of the Empirical Second-Order Product Density and Goodness-of-fit Tests for Stationary Point Processes
Author: Stella DavidStochastic Geometry, Spatial Statistics and Random Fields
Author: Evgeny SpodarevPublisher: Springer
ISBN: 3642333052
Category : Mathematics
Languages : en
Pages : 470
Book Description
This volume provides a modern introduction to stochastic geometry, random fields and spatial statistics at a (post)graduate level. It is focused on asymptotic methods in geometric probability including weak and strong limit theorems for random spatial structures (point processes, sets, graphs, fields) with applications to statistics. Written as a contributed volume of lecture notes, it will be useful not only for students but also for lecturers and researchers interested in geometric probability and related subjects.
Spatial Statistics and Imaging
Author: Antonio PossoloPublisher: IMS
ISBN: 9780940600270
Category : Computers
Languages : en
Pages : 440
Book Description
Point Processes and Their Statistical Inference, Second Edition,
Author: Alan KarrPublisher: CRC Press
ISBN: 9780824785321
Category : Mathematics
Languages : en
Pages : 524
Book Description
Maintaining the excellent features that made the first edition so popular, this outstanding reference/text presents the only comprehensive treatment of the theory of point processes and statistical inference for point processes-highlighting both pointprocesses on the real line and sp;, .tial point processes. Thoroughly updated and revised to reflect changes since publication of the firstedition, the expanded Second EdiLion now contains a better organized and easierto-understand treatment of stationary point processes ... expanded treatment ofthe multiplicative intensity model ... expanded treatment of survival analysis . ..broadened consideration of applications ... an expanded and extended bibliographywith over 1,000 references ... and more than 3('() end-of-chapter exercises.
Statistica Sinica
Author: Publisher:
ISBN:
Category : Mathematical statistics
Languages : en
Pages : 906
Book Description
Central Limit Theorems for Empirical and U-processes of Stationary Mixing Sequences
Author: Mathematical Sciences Research Institute (Berkeley, Calif.).Publisher:
ISBN:
Category :
Languages : en
Pages : 20
Book Description
Introduction to Empirical Processes and Semiparametric Inference
Author: Michael R. KosorokPublisher: Springer Science & Business Media
ISBN: 0387749780
Category : Mathematics
Languages : en
Pages : 482
Book Description
Kosorok’s brilliant text provides a self-contained introduction to empirical processes and semiparametric inference. These powerful research techniques are surprisingly useful for developing methods of statistical inference for complex models and in understanding the properties of such methods. This is an authoritative text that covers all the bases, and also a friendly and gradual introduction to the area. The book can be used as research reference and textbook.