82 Probability theory and stochastic processes60G44 Martingales with continuous parameter60G46 Martingales and classical analysis60G48 Generalizations of martingales60G50 Sums of independent random variables;random walks60G51 Processes with independent increments;Lévy processes60G52 Stable processes60G55 Point processes60G57 Random measures60G60 Random fields60G70 Extreme value theory;extremal processes60G99 None of the above, but in this section60Hxx Stochastic analysis [See also 58J65]60H05 Stochastic integrals60H07 Stochastic calculus of variations and theMalliavin calculus60H10 Stochastic ordinary differential equations[See also 34F05]60H15 Stochastic partial differential equations[See also 35R60]60H20 Stochastic integral equations60H25 Random operators and equations[See also 47B80]60H30 Applications of stochastic analysis(to PDE, etc.)60H35 Computational methods for stochasticequations [See also 65C30]60H40 White noise theory60H99 None of the above, but in this section60Jxx Markov processes60J05 Discrete-time Markov processes ongeneral state spaces60J10 Markov chains (discrete-time Markovprocesses on discrete state spaces)60J20 Applications of Markov chains anddiscrete-time Markov processes on generalstate spaces (social mobility, learningtheory, industrial processes, etc.)[See also 90B30, 91D10, 91D35, 91E40]60J22 Computational methods in Markovchains [See also 65C40]60J25 Continuous-time Markov processes ongeneral state spaces60J27 Continuous-time Markov processes ondiscrete state spaces60J28 Applications of continuous-time Markovprocesses on discrete state spaces60J35 Transition functions, generators and resolvents[See also 47D03, 47D07]60J40 Right processes60J45 Probabilistic potential theory[See also 31Cxx, 31D05]60J50 Boundary theory60J55 Local time and additive functionals60J57 Multiplicative functionals60J60 Diffusion processes [See also 58J65]60J65 Brownian motion [See also 58J65]60J67 Stochastic (Schramm-)Loewnerevolution (SLE)60J68 Superprocesses60J70 Applications of Brownian motions anddiffusion theory (population genetics,absorption problems, etc.) [See also92Dxx]60J75 Jump processes60J80 Branching processes (Galton-Watson,birth-and-death, etc.)60J85 Applications of branching processes[See also 92Dxx]60J99 None of the above, but in this section60Kxx Special processes60K05 Renewal theory60K10 Applications(reliability, demand theory, etc.)60K15 Markov renewal processes,semi-Markov processes60K20 Applications of Markov renewal processes(reliability, queueing networks,etc.) [See also 90Bxx]60K25 Queueing theory[See also 68M20, 90B22]60K30 Applications (congestion, allocation,storage, traffic, etc.) [See also 90Bxx]60K35 Interacting random processes; statisticalmechanics type models; percolation theory[See also 82B43, 82C43]60K37 Processes in random environments60K40 Other physical applications of randomprocesses60K99 None of the above, but in this section
Statistics 8362-XX Statistics62-00 General reference works (handbooks,dictionaries, bibliographies, etc.)62-01 Instructional exposition(textbooks, tutorial papers, etc.)62-02 Research exposition (monographs,survey articles)62-03 Historical (must also be assigned at leastone classification number from Section01)62-04 Explicit machine computation and programs(not the theory of computation orprogramming)62-06 Proceedings, conferences, collections,etc.62-07 Data analysis62-09 Graphical methods62Axx Foundational and philosophical topics62A01 Foundations and philosophical topics62A86 Fuzzy analysis in statistics62A99 None of the above, but in this section62Bxx Sufficiency and information62B05 Sufficient statistics and fields62B10 Information-theoretic topics[See also 94A17]62B15 Theory of statistical experiments62B86 Fuzziness, sufficiency, and information62B99 None of the above, but in this section62Cxx Decision theory [See also 90B50, 91B06;for game theory, see 91A35]62C05 General considerations62C07 Complete class results62C10 Bayesian problems; characterization ofBayes procedures62C12 Empirical decision procedures;empirical Bayes procedures62C15 Admissibility62C20 Minimax procedures62C25 Compound decision problems62C86 Decision theory and fuzziness62C99 None of the above, but in this section62Dxx Sampling theory, sample surveys62D05 Sampling theory, sample surveys62D99 None of the above, but in this section62Exx Distribution theory [See also 60Exx]62E10 Characterization and structure theory62E15 Exact distribution theory62E17 Approximations to distributions(nonasymptotic)62E20 Asymptotic distribution theory62E86 Fuzziness in connection with the topicson distributions in this section62E99 None of the above, but in this section62Fxx Parametric inference62F03 Hypothesis testing62F05 Asymptotic properties of tests62F07 Ranking and selection62F10 Point estimation62F12 Asymptotic properties of estimators62F15 Bayesian inference62F25 Tolerance and confidence regions62F30 Inference under constraints62F35 Robustness and adaptive procedures62F40 Bootstrap, jackknife and otherresampling methods62F86 Parametric inference and fuzziness62F99 None of the above, but in this section62Gxx Nonparametric inference62G05 Estimation62G07 Density estimation62G08 Nonparametric regression62G09 Resampling methods62G10 Hypothesis testing62G15 Tolerance and confidence regions62G20 Asymptotic properties62G30 Order statistics; empirical distributionfunctions62G32 Statistics of extreme values; tail inference62G35 Robustness62G86 Nonparametric inference and fuzziness62G99 None of the above, but in this section62Hxx Multivariate analysis [See also 60Exx]62H05 Characterization and structure theory62H10 Distribution of statistics62H11 Directional data; spatial statistics
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ZentralblattMATHMathematics Subject
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Mathematics Subject Classification
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2 Mathematical logic and foundation
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4 Combinatorics03E5703E6003E6503E70
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6 Order, lattices, ordered algebrai
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8 Number theory11-XX Number theory1
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10 Number theory11G15 Complex multi
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12 Number theory11P8311P8411P99Part
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14 Commutative algebra12J1512J1712J
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16 Algebraic geometry13N05 Modules
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18 Algebraic geometry14H40 Jacobian
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20 Associative rings and algebras15
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22 Associative rings and algebras16
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24 Category theory; homological alg
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26 K-theory19-XX K-theory [See also
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28 Group theory and generalizations
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30 Topological groups, Lie groups20
- Page 36 and 37: 32 Real functions26Axx Functions of
- Page 38 and 39: 34 Functions of a complex variable2
- Page 40 and 41: 36 Several complex variables and an
- Page 42 and 43: 38 Several complex variables and an
- Page 44 and 45: 40 Special functions32Txx Pseudocon
- Page 46 and 47: 42 Ordinary differential equations3
- Page 48 and 49: 44 Partial differential equations34
- Page 50 and 51: 46 Partial differential equations35
- Page 52 and 53: 48 Partial differential equations35
- Page 54 and 55: 50 Dynamical systems and ergodic th
- Page 56 and 57: 52 Dynamical systems and ergodic th
- Page 58 and 59: 54 Sequences, series, summability39
- Page 60 and 61: 56 Harmonic analysis on Euclidean s
- Page 62 and 63: 58 Integral equations44Axx Integral
- Page 64 and 65: 60 Functional analysis46A32 Spaces
- Page 66 and 67: 62 Functional analysis46Kxx Topolog
- Page 68 and 69: 64 Operator theory47A60 Functional
- Page 70 and 71: 66 Calculus of variations and optim
- Page 72 and 73: 68 Geometry49Rxx Variational method
- Page 74 and 75: 70 Convex and discrete geometry51Px
- Page 76 and 77: 72 General topology53C21 Methods of
- Page 78 and 79: 74 Algebraic topology54E2054E2554E3
- Page 80 and 81: 76 Manifolds and cell complexes55R5
- Page 82 and 83: 78 Global analysis, analysis on man
- Page 84 and 85: 80 Global analysis, analysis on man
- Page 88 and 89: 84 Statistics62H12 Estimation62H15
- Page 90 and 91: 86 Numerical analysis65F5065F6065F9
- Page 92 and 93: 88 Computer science68-04 Explicit m
- Page 94 and 95: 90 Mechanics of particles and syste
- Page 96 and 97: 92 Mechanics of deformable solids74
- Page 98 and 99: 94 Fluid mechanics76-04 Explicit ma
- Page 100 and 101: 96 Optics, electromagnetic theory76
- Page 102 and 103: 98 Quantum theory81P40 Quantum cohe
- Page 104 and 105: 100 Relativity and gravitational th
- Page 106 and 107: 102 Operations research, mathematic
- Page 108 and 109: 104 Game theory, economics, social
- Page 110 and 111: 106 Systems theory; control92Fxx92F
- Page 112 and 113: 108 Mathematics education94B7594B99
- Page 114: 110 Mathematics education97P4097P50