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Mathematics Subject Classification — Statistics and Numerical Methods

PROBABILITY THEORY AND STOCHASTIC PROCESSES

AMS: 60       All of this section
AMS: 60-XX    Not classified at a more specific level

• AMS: 60-00    General reference works
• AMS: 60-01    Instructional exposition
• AMS: 60-02    Research exposition
• AMS: 60-03    Historical
• AMS: 60-04    Explicit machine computation and programs
• AMS: 60-06    Proceedings, conferences, collections, etc.
• AMS: 60-08    Computational methods

• AMS: 60Axx    Foundations of probability theory
  AMS: 60A*     (including sub-levels)
  • AMS: 60A05    Axioms; other general questions
  • AMS: 60A10    Probabilistic measure theory
  • AMS: 60A99    None of the above, but in this section
• AMS: 60Bxx    Probability theory on algebraic and topological structures
  AMS: 60B*     (including sub-levels)
  • AMS: 60B05    Probability measures on topological spaces
  • AMS: 60B10    Convergence of probability measures
  • AMS: 60B11    Probability theory on linear topological spaces
  • AMS: 60B12    Limit theorems for vector-valued random variables (infinite-dimensional case)
  • AMS: 60B15    Probability measures on groups, Fourier transforms, factorization
  • AMS: 60B99    None of the above, but in this section
• AMS: 60Cxx    Combinatorial probability
  AMS: 60C*     (including sub-levels)
  • AMS: 60C05    Combinatorial probability
• AMS: 60Dxx    Geometric probability and stochastic geometry
  AMS: 60D*     (including sub-levels)
  • AMS: 60D05    Geometric probability, stochastic geometry, random sets
• AMS: 60Exx    Distribution theory
  AMS: 60E*     (including sub-levels)
  • AMS: 60E05    Distributions: general theory
  • AMS: 60E07    Infinitely divisible distributions; stable distributions
  • AMS: 60E10    Characteristic functions; other transforms
  • AMS: 60E15    Inequalities; stochastic orderings
  • AMS: 60E99    None of the above, but in this section
• AMS: 60Fxx    Limit theorems
  AMS: 60F*     (including sub-levels)
  • AMS: 60F05    Central limit and other weak theorems
  • AMS: 60F10    Large deviations
  • AMS: 60F15    Strong theorems
  • AMS: 60F17    Functional limit theorems; invariance principles
  • AMS: 60F20    Zero-one laws
  • AMS: 60F25    $L^p$-limit theorems
  • AMS: 60F99    None of the above, but in this section
• AMS: 60Gxx    Stochastic processes
  AMS: 60G*     (including sub-levels)
  • AMS: 60G05    Foundations of stochastic processes
  • AMS: 60G07    General theory of processes
  • AMS: 60G09    Exchangeability
  • AMS: 60G10    Stationary processes
  • AMS: 60G15    Gaussian processes
  • AMS: 60G17    Sample path properties
  • AMS: 60G18    Self-similar processes
  • AMS: 60G20    Generalized stochastic processes
  • AMS: 60G25    Prediction theory
  • AMS: 60G30    Continuity and singularity of induced measures
  • AMS: 60G35    Applications (signal detection, filtering, etc.)
  • AMS: 60G40    Stopping times; optimal stopping problems; gambling theory
  • AMS: 60G42    Martingales with discrete parameter
  • AMS: 60G44    Martingales with continuous parameter
  • AMS: 60G46    Martingales and classical analysis
  • AMS: 60G48    Generalizations of martingales
  • AMS: 60G50    Sums of independent random variables; random walks
  • AMS: 60G51    Processes with independent increments
  • AMS: 60G52    Stable processes
  • AMS: 60G55    Point processes
  • AMS: 60G57    Random measures
  • AMS: 60G60    Random fields
  • AMS: 60G70    Extreme value theory; extremal processes
  • AMS: 60G99    None of the above, but in this section
• AMS: 60Hxx    Stochastic analysis
  AMS: 60H*     (including sub-levels)
  • AMS: 60H05    Stochastic integrals
  • AMS: 60H07    Stochastic calculus of variations and the Malliavin calculus
  • AMS: 60H10    Stochastic ordinary differential equations
  • AMS: 60H15    Stochastic partial differential equations
  • AMS: 60h20    Stochastic integral equations
  • AMS: 60h25    Random operators and equations
  • AMS: 60h20    Applications of stochastic analysis (to PDE, etc.)
  • AMS: 60h25    Computational methods for stochastic equations
  • AMS: 60H40    White noise theory
  • AMS: 60H99    None of the above, but in this section
• AMS: 60Jxx    Markov processes
  AMS: 60J*     (including sub-levels)
  • AMS: 60J05    Markov processes with discrete parameter
  • AMS: 60J10    Markov chains with discrete parameter
  • AMS: 60J20    Applications of discrete Markov processes (social mobility, learning theory, industrial processes, etc.)
  • AMS: 60J22    Computational methods in Markov chains
  • AMS: 60J25    Markov processes with continuous parameter
  • AMS: 60J27    Markov chains with continuous parameter
  • AMS: 60J35    Transition functions, generators and resolvents
  • AMS: 60J40    Right processes
  • AMS: 60J45    Probabilistic potential theory
  • AMS: 60J50    Boundary theory
  • AMS: 60J55    Local time and additive functionals
  • AMS: 60J60    Diffusion processes
  • AMS: 60J65    Brownian motion
  • AMS: 60J70    Applications of diffusion theory (population genetics, absorption problems, etc.)
  • AMS: 60J75    Jump processes
  • AMS: 60J80    Branching processes (Galton-Watson, birth-and-death, etc.)
  • AMS: 60J85    Applications of branching processes
  • AMS: 60J99    None of the above, but in this section
• AMS: 60Kxx    Special processes
  AMS: 60K*     (including sub-levels)
  • AMS: 60K05    Renewal theory
  • AMS: 60K10    Applications (reliability, demand theory, etc.)
  • AMS: 60K15    Markov renewal processes, semi-Markov processes
  • AMS: 60K20    Applications of Markov renewal processes (reliability, queueing networks, etc.)
  • AMS: 60K25    Queueing theory
  • AMS: 60K30    Applications (congestion, allocation, storage, traffic, etc.)
  • AMS: 60K35    Interacting random processes; statistical mechanics type models; percolation theory
  • AMS: 60K37    Processes in random environments
  • AMS: 60K40    Other physical applications of random processes
  • AMS: 60K99    None of the above, but in this section

STATISTICS

AMS: 62       All of this section
AMS: 62-XX    Not classified at a more specific level

• AMS: 62-00    General reference works
• AMS: 62-01    Instructional exposition
• AMS: 62-02    Research exposition
• AMS: 62-03    Historical
• AMS: 62-04    Explicit machine computation and programs
• AMS: 62-06    Proceedings, conferences, collections, etc.
• AMS: 62-07    Data analysis
• AMS: 62-09    Graphical methods

• AMS: 62Axx    Foundational and philosophical topics
  AMS: 62A*     (including sub-levels)
• AMS: 62A01    Foundational and philosophical topics
  AMS: 62A*     (including sub-levels)
  • AMS: 62A99    None of the above, but in this section
• AMS: 62Bxx    Sufficiency and information
  AMS: 62B*     (including sub-levels)
  • AMS: 62B05    Sufficient statistics and fields
  • AMS: 62B10    Information-theoretic topics
  • AMS: 62B15    Theory of statistical experiments
• AMS: 62Cxx    Decision theory
  AMS: 62C*     (including sub-levels)
  • AMS: 62C05    General considerations
  • AMS: 62C10    Bayesian problems; characterization of Bayes procedures
  • AMS: 62C12    Empirical decision procedures; empirical Bayes procedures
  • AMS: 62C15    Admissibility
  • AMS: 62C20    Minimax procedures
  • AMS: 62C25    Compound decision problems
  • AMS: 62C99    None of the above, but in this section
• AMS: 62Dxx    Sampling theory, sample surveys
  AMS: 62D*     (including sub-levels)
  • AMS: 62D05    Sampling theory, sample surveys
• AMS: 62Exx    Distribution theory
  AMS: 62E*     (including sub-levels)
  • AMS: 62E10    Characterization and structure theory
  • AMS: 62E15    Exact distribution theory
  • AMS: 62E17    Approximations to distributions (nonasymptotic)
  • AMS: 62E20    Asymptotic distribution theory
  • AMS: 62E99    None of the above, but in this section
• AMS: 62Fxx    Parametric inference
  AMS: 62F*     (including sub-levels)
  • AMS: 62F03    Hypothesis testing
  • AMS: 62F05    Asymptotic properties of tests
  • AMS: 62F07    Ranking and selection
  • AMS: 62F10    Point estimation
  • AMS: 62F12    Asymptotic properties of estimators
  • AMS: 62F15    Bayesian inference
  • AMS: 62F25    Tolerance and confidence regions
  • AMS: 62F30    Inference under constraints
  • AMS: 62F35    Robustness and adaptive procedures
  • AMS: 62F99    None of the above, but in this section
• AMS: 62Gxx    Nonparametric inference
  AMS: 62G*     (including sub-levels)
  • AMS: 62G05    Estimation
  • AMS: 62G07    Density estimation
  • AMS: 62G08    Nonparametric regression
  • AMS: 62G09    Resampling methods
  • AMS: 62G10    Hypothesis testing
  • AMS: 62G15    Tolerance and confidence regions
  • AMS: 62G20    Asymptotic properties
  • AMS: 62G30    Order statistics; empirical distribution functions
  • AMS: 62G32    Statistics of extreme values; tail inference
  • AMS: 62G35    Robustness
  • AMS: 62G99    None of the above, but in this section
• AMS: 62Hxx    Multivariate analysis
  AMS: 62H*     (including sub-levels)
  • AMS: 62H05    Characterization and structure theory
  • AMS: 62H10    Distribution of statistics
  • AMS: 62H11    Directional data; spatial statistics
  • AMS: 62H12    Estimation
  • AMS: 62H15    Hypothesis testing
  • AMS: 62H17    Contingency tables
  • AMS: 62h20    Measures of association (correlation, canonical correlation, etc.)
  • AMS: 62h25    Factor analysis and principal components; correspondence analysis
  • AMS: 62h20    Classification and discrimination; cluster analysis
  • AMS: 62h25    Image analysis
  • AMS: 62H99    None of the above, but in this section
• AMS: 62Jxx    Linear inference, regression
  AMS: 62J*     (including sub-levels)
  • AMS: 62J02    General nonlinear regression
  • AMS: 62J05    Linear regression
  • AMS: 62J07    Ridge regression; shrinkage estimators
  • AMS: 62J10    Analysis of variance and covariance
  • AMS: 62J12    Generalized linear models
  • AMS: 62J15    Paired and multiple comparisons
  • AMS: 62J20    Diagnostics
  • AMS: 62J99    None of the above, but in this section
• AMS: 62Kxx    Design of experiments
  AMS: 62K*     (including sub-levels)
  • AMS: 62K05    Optimal designs
  • AMS: 62K10    Block designs
  • AMS: 62K15    Factorial designs
  • AMS: 62K20    Response surface designs
  • AMS: 62K99    None of the above, but in this section
• AMS: 62Lxx    Sequential methods
  AMS: 62L*     (including sub-levels)
  • AMS: 62L10    Sequential analysis
  • AMS: 62L12    Sequential estimation
  • AMS: 62L15    Optimal stopping
  • AMS: 62L20    Stochastic approximation
  • AMS: 62L99    None of the above, but in this section
• AMS: 62Mxx    Inference from stochastic processes
  AMS: 62M*     (including sub-levels)
  • AMS: 62M02    Markov processes: hypothesis testing
  • AMS: 62M05    Markov processes: estimation
  • AMS: 62M09    Non-Markovian processes: estimation
  • AMS: 62M10    Time series, auto-correlation, regression, etc.
  • AMS: 62M15    Spectral analysis
  • AMS: 62M20    Prediction
  • AMS: 62M30    Spatial processes
  • AMS: 62M40    Random fields; image analysis
  • AMS: 62M45    Neural nets and related approaches
  • AMS: 62M99    None of the above, but in this section
• AMS: 62Nxx    Survival analysis and censored data
  AMS: 62N*     (including sub-levels)
  • AMS: 62N01    Censored data models
  • AMS: 62N05    Reliability and life testing
  • AMS: 62N99    None of the above, but in this section
• AMS: 62Pxx    Applications
  AMS: 62P*     (including sub-levels)
  • AMS: 62P05    Applications to actuarial sciences and financial mathematics
  • AMS: 62P10    Applications to biology and medical sciences
  • AMS: 62P12    Applications to environmental and related topics
  • AMS: 62P15    Applications to psychology
  • AMS: 62P20    Applications to economics
  • AMS: 62P25    Applications to social sciences
  • AMS: 62P30    Applications in engineering and industry
  • AMS: 62P35    Applications to physics
  • AMS: 62P99    None of the above, but in this section
• AMS: 62Qxx    Statistical tables
  AMS: 62Q*     (including sub-levels)
  • AMS: 62Q05    Statistical tables

NUMERICAL ANALYSIS

AMS: 65       All of this section
AMS: 65-XX    Not classified at a more specific level

• AMS: 65-00    General reference works
• AMS: 65-01    Instructional exposition
• AMS: 65-02    Research exposition
• AMS: 65-03    Historical
• AMS: 65-04    Explicit machine computation and programs
• AMS: 65-05    Experimental papers
• AMS: 65-06    Proceedings, conferences, collections, etc.

• AMS: 65Axx    Tables
  AMS: 65A*     (including sub-levels)
  • AMS: 65A05    Tables
• AMS: 65Bxx    Acceleration of convergence
  AMS: 65B*     (including sub-levels)
  • AMS: 65B05    Extrapolation to the limit, deferred corrections
• AMS: 65Cxx    Probabilistic methods, simulation and stochastic differential equations
  AMS: 65C*     (including sub-levels)
  • AMS: 65C05    Monte Carlo methods
  • AMS: 65C10    Random number generation
  • AMS: 65C20    Models, numerical methods
  • AMS: 65C30    Stochastic differential and integral equations
  • AMS: 65C40    Computational Markov chains
  • AMS: 65C50    Other computational problems in probability
  • AMS: 65C60    Computational problems in statistics
  • AMS: 65C99    None of the above, but in this section
• AMS: 65Dxx    Numerical approximation and computational geometry
  AMS: 65D*     (including sub-levels)
  • AMS: 65D05    Interpolation
  • AMS: 65D07    Splines
  • AMS: 65D15    Algorithms for functional approximation
  • AMS: 65D17    Computer aided design (modeling of curves and surfaces)
  • AMS: 65D18    Computer graphics and computational geometry
  • AMS: 65D20    Computation of special functions, construction of tables
  • AMS: 65D25    Numerical differentiation
  • AMS: 65D30    Numerical integration
  • AMS: 65D32    Quadrature and cubature formulas
  • AMS: 65D99    None of the above, but in this section
• AMS: 65Exx    Numerical methods in complex analysis (potential theory, etc.)
  AMS: 65E*     (including sub-levels)
  • AMS: 65E05    Numerical methods in complex analysis (potential theory, etc.)
• AMS: 65Fxx    Numerical linear algebra
  AMS: 65F*     (including sub-levels)
  • AMS: 65F05    Direct methods for linear systems and matrix inversion
  • AMS: 65F10    Iterative methods for linear systems
  • AMS: 65F15    Eigenvalues, eigenvectors
  • AMS: 65F20    Overdetermined systems, pseudoinverses
  • AMS: 65F25    Orthogonalization
  • AMS: 65F35    Matrix norms, conditioning, scaling
  • AMS: 65F50    Sparse matrices
  • AMS: 65F99    None of the above, but in this section
• AMS: 65Gxx    Error analysis and interval analysis
  AMS: 65G*     (including sub-levels)
  • AMS: 65G30    Interval and finite arithmetic
  • AMS: 65G50    Roundoff error
  • AMS: 65G99    None of the above, but in this section
• AMS: 65Hxx    Nonlinear algebraic or transcendental equations
  AMS: 65H*     (including sub-levels)
  • AMS: 65H05    Single equations
  • AMS: 65H10    Systems of equations
  • AMS: 65H17    Eigenvalues, eigenvectors
  • AMS: 65h20    Global methods, including homotopy approaches
  • AMS: 65H99    None of the above, but in this section
• AMS: 65Jxx    Numerical analysis in abstract spaces
  AMS: 65J*     (including sub-levels)
  • AMS: 65J05    General theory
  • AMS: 65J10    Equations with linear operators (do not use 65Fxx)
  • AMS: 65J15    Equations with nonlinear operators (do not use 65Hxx)
  • AMS: 65J20    Improperly posed problems; regularization
  • AMS: 65J99    None of the above, but in this section
• AMS: 65Kxx    Mathematical programming, optimization and variational techniques
  AMS: 65K*     (including sub-levels)
  • AMS: 65K05    Mathematical programming
  • AMS: 65K10    Optimization and variational techniques
• AMS: 65Lxx    Ordinary differential equations
  AMS: 65L*     (including sub-levels)
  • AMS: 65L05    Initial value problems
  • AMS: 65L06    Multistep, Runge-Kutta and extrapolation methods
  • AMS: 65L10    Boundary value problems
  • AMS: 65L12    Finite difference methods
  • AMS: 65L15    Eigenvalue problems
  • AMS: 65L20    Stability and convergence of numerical methods
  • AMS: 65L60    Finite elements, Rayleigh-Ritz, Galerkin and collocation methods
  • AMS: 65L70    Error bounds
  • AMS: 65L80    Methods for differential-algebraic equations
  • AMS: 65L99    None of the above, but in this section
• AMS: 65Mxx    Partial differential equations, initial value and time-dependent initial-boundary value problems
  AMS: 65M*     (including sub-levels)
  • AMS: 65M06    Finite difference methods
  • AMS: 65M12    Stability and convergence of numerical methods
  • AMS: 65M15    Error bounds
  • AMS: 65M20    Method of lines
  • AMS: 65M25    Method of characteristics
  • AMS: 65M30    Improperly posed problems
  • AMS: 65M32    Inverse problems
  • AMS: 65M50    Mesh generation and refinement
  • AMS: 65M55    Multigrid methods; domain decomposition
  • AMS: 65M60    Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
  • AMS: 65M70    Spectral, collocation and related methods
  • AMS: 65M99    None of the above, but in this section
• AMS: 65Nxx    Partial differential equations, boundary value problems
  AMS: 65N*     (including sub-levels)
  • AMS: 65N06    Finite difference methods
  • AMS: 65N08    Finite volume methods
  • AMS: 65N12    Stability and convergence of numerical methods
  • AMS: 65N15    Error bounds
  • AMS: 65N21    Inverse problems
  • AMS: 65N22    Solution of discretized equations
  • AMS: 65N25    Eigenvalue problems
  • AMS: 65N30    Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
  • AMS: 65N35    Spectral, collocation and related methods
  • AMS: 65N38    Boundary element methods
  • AMS: 65N40    Method of lines
  • AMS: 65N50    Mesh generation and refinement
  • AMS: 65N55    Multigrid methods; domain decomposition
  • AMS: 65N99    None of the above, but in this section
• AMS: 65Pxx    Numerical problems in dynamical systems
  AMS: 65P*     (including sub-levels)
  • AMS: 65P10    Hamiltonian systems including symplectic integrators
  • AMS: 65P40    Nonlinear stabilities
  • AMS: 65P99    None of the above, but in this section
• AMS: 65Qxx    Difference and functional equations, recurrence relations
  AMS: 65Q*     (including sub-levels)
• AMS: 65Rxx    Integral equations, integral transforms
  AMS: 65R*     (including sub-levels)
  • AMS: 65R10    Integral transforms
  • AMS: 65R20    Integral equations
  • AMS: 65R30    Improperly posed problems
  • AMS: 65R32    Inverse problems
• AMS: 65Sxx    Graphical methods
  AMS: 65S*     (including sub-levels)
  • AMS: 65S05    Graphical methods
• AMS: 65Txx    Numerical methods in Fourier analysis
  AMS: 65T*     (including sub-levels)
  • AMS: 65T40    Trigonometric approximation and interpolation
  • AMS: 65T50    Discrete and fast Fourier transforms
  • AMS: 65T60    Wavelets
  • AMS: 65T99    None of the above, but in this section
• AMS: 65Yxx    Computer aspects of numerical algorithms
  AMS: 65Y*     (including sub-levels)
  • AMS: 65Y05    Parallel computation
  • AMS: 65Y15    Packaged methods
  • AMS: 65Y20    Complexity and performance of numerical algorithms
  • AMS: 65Y99    None of the above, but in this section
• AMS: 65Zxx    Applications to physics
  AMS: 65Z*     (including sub-levels)
  • AMS: 65Z05    Applications to physics

Letzte Änderung: 20.07.2012 Gabriele Dörflinger