Title:
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Publisher Information:
Taylor \& Francis, Philadelphia, PA; American Statistical Association (ASA), Alexandria, VA, 1979.
Subject Terms:
Generalized linear models (logistic models) ,
Eigenvalues, singular values, and eigenvectors ,
Stability of difference equations ,
Bifurcation and buckling ,
Deterministic scheduling theory in operations research ,
Physiological, cellular and medical topics ,
Combustion ,
Gas dynamics (general theory) ,
Probabilistic models, generic numerical methods in probability and statistics ,
Applications of statistics to biology and medical sciences ,
meta analysis ,
Discrete-time control/observation systems ,
Information storage and retrieval of data ,
Nonparametric tolerance and confidence regions ,
Stability and instability of geophysical and astrophysical flows ,
Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) ,
Lyapunov and storage functions ,
Stabilization of systems by feedback ,
Complete lattices, completions ,
Monotone operators and generalizations ,
Chemically reacting flows ,
Network design and communication in computer systems ,
Chemical graph theory ,
Sums of independent random variables ,
random walks ,
Graphs and linear algebra (matrices, eigenvalues, etc.) ,
Flows in porous media ,
filtration ,
seepage ,
\(H^\infty\)-control ,
Probabilistic methods, stochastic differential equations ,
Quantum measurement theory, state operations, state preparations ,
Feedback control ,
Convex sets in \(n\) dimensions (including convex hypersurfaces) ,
Meteorology and atmospheric physics ,
Newton-type methods ,
Software, source code, etc. for problems pertaining to numerical analysis ,
Chemical kinetics in thermodynamics and heat transfer ,
Neural nets and related approaches to inference from stochastic processes ,
Linear differential equations in abstract spaces ,
Discrete location and assignment ,
Linear inference, regression ,
Integral domains ,
Perturbations in control/observation systems ,
Numerical analysis or methods applied to Markov chains ,
Homological methods in Lie (super)algebras ,
Rotation numbers and vectors ,
Controllability ,
Strong limit theorems ,
Continued fractions ,
Syzygies, resolutions, complexes and commutative rings ,
Sequences (mod \(m\)) ,
Parametric hypothesis testing ,
Complexity and performance of numerical algorithms ,
Adaptive control/observation systems ,
Deterministic network models in operations research ,
Linear boundary value problems for ordinary differential equations ,
Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) ,
Logic in artificial intelligence ,
Nonassociative algebras satisfying other identities ,
Water waves, gravity waves ,
dispersion and scattering, nonlinear interaction ,
Classification and discrimination ,
cluster analysis (statistical aspects) ,
Liquid-gas two-phase flows, bubbly flows ,
Games on graphs (graph-theoretic aspects) ,
System structure simplification ,
Parallel numerical computation ,
Microeconomic theory (price theory and economic markets) ,
Existence theories in calculus of variations and optimal control ,
Filtering in stochastic control theory ,
Statistical tables ,
Almost and pseudo-almost periodic solutions to ordinary differential equations ,
Software, source code, etc. for problems pertaining to classical thermodynamics ,
Time series, auto-correlation, regression, etc. in statistics (GARCH) ,
Mathematical modelling of systems ,
Algebraic methods ,
Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) ,
Parallel algorithms in computer science ,
Navier-Stokes equations ,
Classical flows, reactions, etc. in chemistry ,
Applications of manifolds of mappings to the sciences ,
Iterative numerical methods for linear systems ,
Inference from spatial processes ,
Adaptive or robust stabilization ,
Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation ,
Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations ,
Censored data models ,
Analysis of variance and covariance (ANOVA) ,
General theory of rotating fluids ,
Statics ,
Quadratic programming ,
Nonlinear ordinary differential equations and systems ,
Enumeration in graph theory ,
Approximations to statistical distributions (nonasymptotic) ,
Finite difference methods applied to problems in fluid mechanics ,
Trees ,
Inference from stochastic processes and prediction ,
Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations ,
Reliability, availability, maintenance, inspection in operations research ,
Portfolio theory ,
Medical applications (general) ,
Quantum computation ,
Numerical methods for wavelets ,
Ionized gas flow in electromagnetic fields ,
plasmic flow ,
Biomechanics ,
Extension theory of commutative rings ,
Galactic and stellar dynamics ,
Error bounds for numerical methods for ordinary differential equations ,
Applications of statistics to social sciences ,
Ecology ,
Dynamical systems involving maps of the circle ,
Multiphase and multicomponent flows ,
Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems ,
Robust stability ,
Differential-geometric methods in systems theory ,
Numerical approximation and computational geometry (primarily algorithms) ,
Model systems in control theory ,
Hopf algebras (associative rings and algebras) ,
Topological methods for optimization problems in solid mechanics ,
Free boundary problems for PDEs ,
Special integral transforms (Legendre, Hilbert, etc.) ,
Sensitivity, stability, well-posedness ,
Statistical mechanics of crystals ,
Numerical solution of boundary value problems involving ordinary differential equations ,
Poisson algebras ,
Transportation, logistics and supply chain management ,
Consensus ,
\(k\)-\(\varepsilon\) modeling in turbulence ,
Direct numerical and large eddy simulation of turbulence ,
Learning and adaptive systems in artificial intelligence ,
Robust parameter designs ,
Stochastic programming ,
Applications of statistics in engineering and industry ,
control charts ,
Applications of statistics ,
Matrices of integers ,
Operations research and management science ,
Computational methods (statistical mechanics) ,
Computer-aided design (modeling of curves and surfaces) ,
General nonlinear regression ,
Sensitivity (robustness) ,
Recurrences ,
Simple groups: alternating groups and groups of Lie type ,
Chain conditions, finiteness conditions in commutative ring theory ,
Nonparametric regression and quantile regression ,
Input-output approaches in control theory ,
Nonparametric hypothesis testing ,
Computational methods in systems theory ,
Other programming paradigms (object-oriented, sequential, concurrent, automatic, etc.) ,
Combinatorial probability ,
Type theory ,
Numerical methods for inverse problems for boundary value problems involving PDEs ,
Finite automorphism groups of algebraic, geometric, or combinatorial structures ,
Multi-agent systems ,
Exact distribution theory in statistics ,
Estimation in survival analysis and censored data ,
Lasers, masers, optical bistability, nonlinear optics ,
Exterior algebra, Grassmann algebras ,
Neural networks for/in biological studies, artificial life and related topics ,
Spline approximation ,
Hydrodynamic stability ,
Multivariate analysis ,
Fuzzy sets and logic (in connection with information, communication, or circuits theory) ,
Sensitivity, stability, parametric optimization ,
Switching theory, application of Boolean algebra ,
Boolean functions ,
Heat and mass transfer, heat flow ,
Software, source code, etc. for problems pertaining to group theory ,
Production models ,
Existence, uniqueness, and regularity theory for incompressible viscous fluids ,
Entire and meromorphic functions of one complex variable, and related topics ,
Control/observation systems governed by ordinary differential equations ,
Control problems for functional-differential equations ,
Applications of statistics to actuarial sciences and financial mathematics ,
Hydrology, hydrography, oceanography ,
Observability ,
Soliton equations ,
Statistical block designs ,
Numerical methods for partial differential equations, boundary value problems ,
Bayesian inference ,
Nonlinear elasticity ,
Diffusion ,
Philosophy of mathematics ,
Large-scale systems ,
Models and methods for concurrent and distributed computing (process algebras, bisimulation, transition nets, etc.) ,
Control of mechanical systems ,
Foundations and philosophical topics in statistics ,
Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) ,
Limit theorems for vector-valued random variables (infinite-dimensional case) ,
Theory of matrix inversion and generalized inverses ,
Sampled-data control/observation systems ,
Statistics ,
Statistical mechanics of plasmas ,
Inverse problems in geophysics ,
Computational aspects related to convexity ,
Computing methodologies for image processing ,
Approximation methods and heuristics in mathematical programming ,
Control/observation systems involving computers (process control, etc.) ,
Theory of languages and software systems (knowledge-based systems, expert systems, etc.) for artificial intelligence ,
Optimal statistical designs ,
Hierarchical systems ,
Applications of mathematical programming ,
Numerical aspects of computer graphics, image analysis, and computational geometry ,
Characterization and structure theory of statistical distributions ,
Variable structure systems ,
Compressible fluids and gas dynamics ,
Jump processes ,
Nonparametric estimation ,
Nonlocal and multipoint boundary value problems for ordinary differential equations ,
Frequency-response methods in control theory ,
Identification in stochastic control theory ,
Path integrals in quantum mechanics ,
Smoothness and regularity of solutions to PDEs ,
Estimation in multivariate analysis ,
Graph operations (line graphs, products, etc.) ,
Measures and integration on abstract linear spaces ,
Quantum groups (quantized enveloping algebras) and related deformations ,
Decentralized systems ,
Numerical methods for integral equations ,
Optimality conditions for problems involving ordinary differential equations ,
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) ,
Integro-ordinary differential equations ,
Existence theories for optimal control problems involving ordinary differential equations ,
Mixed integer programming ,
Asymptotic properties of nonparametric inference ,
Genetic algebras ,
Many-body theory ,
quantum Hall effect ,
Inference from stochastic processes and spectral analysis ,
Characterization and structure theory for multivariate probability distributions ,
copulas ,
Asymptotic properties of parametric estimators ,
Other numerical methods (fluid mechanics) ,
Asymptotic distribution theory in statistics ,
Fuzzy control/observation systems ,
Computational problems in statistics ,
Automated systems (robots, etc.) in control theory ,
Modes of computation (nondeterministic, parallel, interactive, probabilistic, etc.) ,
Molecular structure (graph-theoretic methods, methods of differential topology, etc.) ,
Matrices, determinants in number theory ,
Discrete event control/observation systems ,
Combinatorial aspects of block designs ,
Statistical mechanics of gases ,
Graphs and abstract algebra (groups, rings, fields, etc.) ,
Diagnostics, and linear inference and regression ,
Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) ,
Sequential statistical analysis ,
Coding theorems (Shannon theory) ,
Minimal systems representations ,
Applications of operator theory in optimization, convex analysis, mathematical programming, economics ,
Discrete version of topics in analysis ,
Rods (beams, columns, shafts, arches, rings, etc.) ,
Hypothesis testing in multivariate analysis ,
Directional data ,
spatial statistics ,
Numerical methods for differential-algebraic equations ,
Inverse problems for PDEs ,
Control/observation systems governed by functional-differential equations ,
Visualization algorithms applied to problems in fluid mechanics ,
Survival analysis and censored data ,
Basic methods in fluid mechanics ,
Problems involving a system of particles with friction ,
Synthesis problems ,
Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) ,
Statistical ranking and selection procedures ,
Einstein's equations (general structure, canonical formalism, Cauchy problems) ,
Games involving graphs ,
Geometrodynamics and the holographic principle ,
Parametric tolerance and confidence regions ,
Symmetries, Lie group and Lie algebra methods for problems in mechanics ,
Communication theory ,
Point estimation ,
Bell and Stirling numbers ,
Monte Carlo methods ,
Multivariable systems, multidimensional control systems ,
Machine vision and scene understanding ,
Chemistry ,
Traffic problems in operations research ,
Other game-theoretic models ,
Electromagnetic effects in solid mechanics ,
Sequential estimation ,
Many-valued logic ,
Linear-quadratic optimal control problems ,
Fibonacci and Lucas numbers and polynomials and generalizations ,
Geometric probability and stochastic geometry ,
Numerical methods for functional equations ,
Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs ,
Pole and zero placement problems ,
Simulation ,
Implicit ordinary differential equations, differential-algebraic equations ,
Other numerical methods (thermodynamics) ,
Mathematical modeling or simulation for problems pertaining to fluid mechanics ,
Transformations ,
Numerical optimization and variational techniques ,
Estimation and detection in stochastic control theory ,
Computational methods in stochastic control ,
Reaction effects in flows ,
Software, source code, etc. for problems pertaining to fluid mechanics ,
Applications of graph theory ,
Linear ordinary differential equations and systems ,
Formal languages and automata ,
Numerical solution of discretized equations for boundary value problems involving PDEs ,
Numerical methods for initial value problems involving ordinary differential equations ,
Solitary waves for incompressible inviscid fluids ,
Numerical methods based on necessary conditions ,
Other hypergeometric functions and integrals in several variables ,
Functions of hypercomplex variables and generalized variables ,
Computational methods for problems pertaining to nonassociative rings and algebras ,
Parametric inference under constraints ,
Application models in control theory ,
Nonlinear systems in control theory ,
Divisibility and factorizations in commutative rings ,
Radix representation ,
digital problems ,
Admissibility in statistical decision theory ,
Linear equations (linear algebraic aspects) ,
Generators, relations, and presentations of groups ,
Quantum optics ,
Reliability and life testing ,
Control/observation systems governed by partial differential equations ,
Linear regression ,
mixed models ,
Fuzzy measure theory ,
Pattern recognition, speech recognition ,
Kinetic theory of gases in time-dependent statistical mechanics ,
Nonautonomous smooth dynamical systems ,
Dirichlet series, exponential series and other series in one complex variable ,
Random fields ,
image analysis ,
Other nonclassical logic ,
Real rational functions ,
Mathematical geography and demography ,
Density estimation ,
Graphical indices (Wiener index, Zagreb index, Randić index, etc.) ,
Design techniques (robust design, computer-aided design, etc.) ,
Binomial coefficients ,
factorials ,
\(q\)-identities ,
Linear systems in control theory ,
Convergence and divergence of series and sequences ,
Plates ,
Electromagnetic interaction ,
quantum electrodynamics ,
Hydrodynamic and hydromagnetic problems in astronomy and astrophysics ,
Additive difference equations
Document Type:
Fachzeitschrift
Article
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Weitere Informationen
Abstract
Summary: We present a Bayesian data augmentation model to estimate acquisition and clearance rates of carriage of Streptococcus pneumoniae (Pnc) bacteria. The panel observation data comprise 10 measurements of Pnc carriage (carrier/noncarrier of the bacteria) in all members of 97 families with young children over a period of 2 years. Using natural conditional independence assumptions, a transmission model is constructed for the unobserved dependent binary processes of the augmented data. The model explicitly considers carriage transmission within the family and carriage acquisition from the surrounding community. The joint posterior of the model parameters and the augmented data is explored by Markov chain Monte Carlo sampling. The analysis shows that in young children the rate of acquiring carriage of three common Pnc serotypes increases with age. In children less than 2 years old, the duration of carriage is longer than in older family members. Asymptomatic Pnc carriage is found highly transmittable between members of the same family. In young children, the estimated rate of acquiring carriage from a family member carrying Pnc is more than 20-fold to that from acquiring it from the community.