Statistical Methods for Spatio-Temporal Systems
Statistical Methods for Spatio-Temporal Systems presents current statistical research issues on spatio-temporal data modeling and will promote advances in research and a greater understanding between the mechanistic and the statistical modeling communities.
Contributed by leading researchers in the field, each self-contained chapter starts with an introduction of the topic and progresses to recent research results. Presenting specific examples of epidemic data of bovine tuberculosis, gastroenteric disease, and the U.K. foot-and-mouth outbreak, the first chapter uses stochastic models, such as point process models, to provide the probabilistic backbone that facilitates statistical inference from data. The next chapter discusses the critical issue of modeling random growth objects in diverse biological systems, such as bacteria colonies, tumors, and plant populations. The subsequent chapter examines data transformation tools using examples from ecology and air quality data, followed by a chapter on space-time covariance functions. The contributors then describe stochastic and statistical models that are used to generate simulated rainfall sequences for hydrological use, such as flood risk assessment. The final chapter explores Gaussian Markov random field specifications and Bayesian computational inference via Gibbs sampling and Markov chain Monte Carlo, illustrating the methods with a variety of data examples, such as temperature surfaces, dioxin concentrations, ozone concentrations, and a well-established deterministic dynamical weather model.
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SpatioTemporal Modelling with a View to Biological Growth
Using Transforms to Analyze SpaceTime Processes
Geostatistical SpaceTime Models Stationarity Separability and Full Symmetry
analysis application approach approximately asymptotic cells component computed conditional intensity correlation function corresponding covariance functions covariance rule covariance structure Cox processes credible intervals defined denotes dependence Diggle domain empirical estimate example exponential formulation Fourier transform frequencies Fuentes full conditional fully symmetric Gaussian process geostatistical given GLMs GMRF Gneiting grid intensity function kernel kriging lattice Levy basis likelihood locally linear Markov matrix MCMC measure methods Monte Carlo multivariate nonstationary observations ozone parameter periodogram plot point process Poisson process posterior distribution posterior mean precision matrix prediction prior process z(s properties purely spatial rain event rainfall resulting sample scale Section separable sequence shown in Figure simulation smooth space space-time covariance functions space-time models spatial and temporal spatial locations spatial point process spatial process spatio-temporal point process specification spectral density stationary processes Statistical stochastic model subregion tion trend trend estimator University College London values variance variogram vector Wheater
Seite ii - Aitchison (1986) 26 Density Estimation for Statistics and Data Analysis BW Silverman ( 1986) 27 Regression Analysis with Applications GB Wetherill (1986) 28 Sequential Methods in Statistics, 3rd edition GB Wetherill and KD Glazebrook (1986) 29 Tensor Methods in Statistics P.
Seite iii - Fang and Y. Wang (1994) 52 Inference and Asymptotics OE Barndorff-Nielsen and DR Cox (1994) 53 Practical Risk Theory for Actuaries CD Daykin, T.
Seite ii - Pitman (1979) 12 Point Processes DR Cox and V. Isham (1980) 13 Identification of Outliers DM. Hawkins (1980) 14 Optimal Design SD Silvey (1980) 15 Finite Mixture Distributions BS Everitt and DJ Hand...
Seite iv - ... Models for Lifetimes Fabio Spizzichino (2001) 92 Empirical Likelihood Art B. Owen (2001) 93 Statistics in the 21st Century Adrian E. Raftery, Martin A. Tanner, and Martin T. Wells (2001) 94 Accelerated Life Models: Modeling and Statistical Analysis Vilijandas Bagdonavicius and Mikhail Nikulin (2001) 95 Subset Selection in Regression, Second Edition Alan Miller (2002) 96 Topics in Modelling of Clustered Data Marc Aerts, Helena Geys, Geert Molenberghs, and Louise M.
Seite ii - Maritz (1995) 18 Residuals and Influence in Regression RD Cook and S. Weisberg (1982) 19 Applications of Queueing Theory, 2nd edition GF Newell (1982) 20 Risk Theory, 3rd edition RE Beard, T.
Seite iii - Morgan 47 Longitudinal Data with Serial Correlation: A State-space Approach RH Jones (\993) 48 Differential Geometry and Statistics MK Murray and JW Rice...
Seite ii - Cox (1989) 32 Analysis of Binary Data, 2nd edition DR Cox and EJ Snell (1989) 33 Analysis of Infectious Disease Data NG Becker (1989) 34 Design and Analysis of Cross-Over Trials B.