An explicit link between Gaussian fields and Gaussian Markov random fields: the stochastic partial differential equation approach

F Lindgren, H Rue, J Lindström - Journal of the Royal Statistical …, 2011 - academic.oup.com
Summary Continuously indexed Gaussian fields (GFs) are the most important ingredient in
spatial statistical modelling and geostatistics. The specification through the covariance …

Labeled random finite sets and multi-object conjugate priors

BT Vo, BN Vo - IEEE Transactions on Signal Processing, 2013 - ieeexplore.ieee.org
The objective of multi-object estimation is to simultaneously estimate the number of objects
and their states from a set of observations in the presence of data association uncertainty …

Determinantal point processes for machine learning

A Kulesza, B Taskar - Foundations and Trends® in Machine …, 2012 - nowpublishers.com
Determinantal point processes (DPPs) are elegant probabilistic models of repulsion that
arise in quantum physics and random matrix theory. In contrast to traditional structured …

Springer series in statistics

P Bickel, P Diggle, S Fienberg, U Gather, I Olkin… - Principles and Theory …, 2009 - Springer
The idea for this book came from the time the authors spent at the Statistics and Applied
Mathematical Sciences Institute (SAMSI) in Research Triangle Park in North Carolina …

[图书][B] Statistical analysis and modelling of spatial point patterns

J Illian, A Penttinen, H Stoyan, D Stoyan - 2008 - books.google.com
Spatial point processes are mathematical models used to describe and analyse the
geometrical structure of patterns formed by objects that are irregularly or randomly …

From multivariate to functional data analysis: Fundamentals, recent developments, and emerging areas

Y Li, Y Qiu, Y Xu - Journal of Multivariate Analysis, 2022 - Elsevier
Functional data analysis (FDA), which is a branch of statistics on modeling infinite
dimensional random vectors resided in functional spaces, has become a major research …

inlabru: an R package for Bayesian spatial modelling from ecological survey data

FE Bachl, F Lindgren, DL Borchers… - Methods in Ecology …, 2019 - Wiley Online Library
Spatial processes are central to many ecological processes, but fitting models that
incorporate spatial correlation to data from ecological surveys is computationally …

[图书][B] Individual-based methods in forest ecology and management

A Pommerening, P Grabarnik - 2019 - Springer
Individual-based forest ecology and management, where the focus is on individual plants in
the context of their populations, draws on a large body of different quantitative methods that …

Joint detection and estimation of multiple objects from image observations

BN Vo, BT Vo, NT Pham, D Suter - IEEE Transactions on Signal …, 2010 - ieeexplore.ieee.org
The problem of jointly detecting multiple objects and estimating their states from image
observations is formulated in a Bayesian framework by modeling the collection of states as a …

[图书][B] Spatial statistics and modeling

C Gaetan, X Guyon - 2010 - Springer
Spatial analysis methods have seen a rapid rise in popularity due to demand from a wide
range of fields. These include, among others, biology, spatial economics, image processing …