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Geometry
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Mathematical Subject Classification – MSC2010
62-XX
Statistics
185657
62-00
General reference works
(handbooks, dictionaries, bibliographies, etc.)
286
62-01
Instructional exposition
(textbooks, tutorial papers, etc.)
3955
62-02
Research exposition
(monographs, survey articles)
2495
62-03
Historical
(must also be assigned at least one classification number from Section
01
)
936
62-04
Explicit machine computation and programs
(not the theory of computation or programming)
1870
62-06
Proceedings, conferences, collections, etc.
2079
62-07
Data analysis
2359
62-09
Graphical methods
890
62Axx
Foundational and philosophical topics
3475
62A01
Foundations and philosophical topics
3326
62A86
Fuzzy analysis in statistics
55
62A99
None of the above, but in this section
99
62Bxx
Sufficiency and information
4699
62B05
Sufficient statistics and fields
785
62B10
Information-theoretic topics
[See also
94A17
]
3373
62B15
Theory of statistical experiments
437
62B86
Fuzziness, sufficiency, and information
21
62B99
None of the above, but in this section
365
62Cxx
Decision theory
[See also
90B50
,
91B06
; for game theory, see
91A35
]
8181
62C05
General considerations
621
62C07
Complete class results
189
62C10
Bayesian problems; characterization of Bayes procedures
2840
62C12
Empirical decision procedures; empirical Bayes procedures
1256
62C15
Admissibility
1527
62C20
Minimax procedures
1378
62C25
Compound decision problems
204
62C86
Decision theory and fuzziness
83
62C99
None of the above, but in this section
1175
62Dxx
Sampling theory, sample surveys
5439
62D05
Sampling theory, sample surveys
5414
62D99
None of the above, but in this section
25
62Exx
Distribution theory
[See also
60Exx
]
20691
62E10
Characterization and structure theory
4886
62E15
Exact distribution theory
4526
62E17
Approximations to distributions
(nonasymptotic)
1130
62E20
Asymptotic distribution theory
10715
62E86
Fuzziness in connection with the topics on distributions in this section
11
62E99
None of the above, but in this section
1019
62Fxx
Parametric inference
39929
62F03
Hypothesis testing
5968
62F05
Asymptotic properties of tests
2126
62F07
Ranking and selection
1452
62F10
Point estimation
11464
62F12
Asymptotic properties of estimators
6818
62F15
Bayesian inference
10821
62F25
Tolerance and confidence regions
3361
62F30
Inference under constraints
1004
62F35
Robustness and adaptive procedures
3480
62F40
Bootstrap, jackknife and other resampling methods
943
62F86
Parametric inference and fuzziness
80
62F99
None of the above, but in this section
901
62Gxx
Nonparametric inference
35035
62G05
Estimation
9809
62G07
Density estimation
5541
62G08
Nonparametric regression
5047
62G09
Resampling methods
2034
62G10
Hypothesis testing
8538
62G15
Tolerance and confidence regions
1607
62G20
Asymptotic properties
9454
62G30
Order statistics; empirical distribution functions
4845
62G32
Statistics of extreme values; tail inference
1656
62G35
Robustness
1133
62G86
Nonparametric inference and fuzziness
30
62G99
None of the above, but in this section
1459
62Hxx
Multivariate analysis
[See also
60Exx
]
31702
62H05
Characterization and structure theory
2893
62H10
Distribution of statistics
3596
62H11
Directional data; spatial statistics
848
62H12
Estimation
7560
62H15
Hypothesis testing
3984
62H17
Contingency tables
1681
62H20
Measures of association
(correlation, canonical correlation, etc.)
3134
62H25
Factor analysis and principal components; correspondence analysis
2916
62H30
Classification and discrimination; cluster analysis
[See also
68T10
,
91C20
]
7888
62H35
Image analysis
491
62H86
Multivariate analysis and fuzziness
170
62H99
None of the above, but in this section
2277
62Jxx
Linear inference, regression
24777
62J02
General nonlinear regression
3196
62J05
Linear regression
11536
62J07
Ridge regression; shrinkage estimators
1326
62J10
Analysis of variance and covariance
3879
62J12
Generalized linear models
2896
62J15
Paired and multiple comparisons
1398
62J20
Diagnostics
832
62J86
Fuzziness, and linear inference and regression
118
62J99
None of the above, but in this section
2690
62Kxx
Design of experiments
[See also
05Bxx
]
8631
62K05
Optimal designs
3772
62K10
Block designs
2726
62K15
Factorial designs
2091
62K20
Response surface designs
236
62K25
Robust parameter designs
173
62K86
Fuzziness and design of experiments
4
62K99
None of the above, but in this section
1529
62Lxx
Sequential methods
7093
62L05
Sequential design
936
62L10
Sequential analysis
2368
62L12
Sequential estimation
1743
62L15
Optimal stopping
[See also
60G40
,
91A60
]
1320
62L20
Stochastic approximation
1432
62L86
Fuzziness and sequential methods
8
62L99
None of the above, but in this section
405
62Mxx
Inference from stochastic processes
30217
62M02
Markov processes: hypothesis testing
606
62M05
Markov processes: estimation
3194
62M07
Non-Markovian processes: hypothesis testing
855
62M09
Non-Markovian processes: estimation
2520
62M10
Time series, auto-correlation, regression, etc.
[See also
91B84
]
16048
62M15
Spectral analysis
2797
62M20
Prediction
[See also
60G25
]; filtering [See also
60G35
,
93E10
,
93E11
]
5387
62M30
Spatial processes
1253
62M40
Random fields; image analysis
1141
62M45
Neural nets and related approaches
475
62M86
Inference from stochastic processes and fuzziness
82
62M99
None of the above, but in this section
2221
62Nxx
Survival analysis and censored data
13577
62N01
Censored data models
2161
62N02
Estimation
3542
62N03
Testing
1016
62N05
Reliability and life testing
[See also
90B25
]
8134
62N86
Fuzziness, survival analysis and censored data
43
62N99
None of the above, but in this section
1162
62Pxx
Applications
[See also
90-XX
,
91-XX
,
92-XX
]
44213
62P05
Applications to actuarial sciences and financial mathematics
6994
62P10
Applications to biology and medical sciences
16070
62P12
Applications to environmental and related topics
2117
62P15
Applications to psychology
2194
62P20
Applications to economics
[See also
91Bxx
]
8729
62P25
Applications to social sciences
1438
62P30
Applications in engineering and industry
4458
62P35
Applications to physics
741
62P99
None of the above, but in this section
3266
62Qxx
Statistical tables
1370
62Q05
Statistical tables
1369
62Q99
None of the above, but in this section
1
Overview
00
General mathematics
01
History; biography
03
Mathematical logic
05
Combinatorics
06
Ordered structures
08
General algebraic systems
11
Number theory
12
Field theory and polynomials
13
Commutative algebra
14
Algebraic geometry
15
Linear and multilinear algebra; matrix theory
16
Associative rings and algebras
17
Nonassociative rings and algebras
18
Category theory, homological algebra
19
$K$-theory
20
Group theory and generalizations
22
Topological groups, Lie groups
26
Real functions
28
Measure and integration
30
Functions of a complex variable
31
Potential theory
32
Functions of several complex variables and analytic spaces
33
Special functions
34
Ordinary differential equations (ODE)
35
Partial differential equations (PDE)
37
Dynamical systems and ergodic theory
39
Difference and functional equations
40
Sequences, series, summability
41
Approximation and expansions
42
Fourier analysis
43
Abstract harmonic analysis
44
Integral transforms, operational calculus
45
Integral equations
46
Functional analysis
47
Operator theory
49
Calculus of variations and optimal control; optimization
51
Geometry
52
Convex and discrete geometry
53
Differential geometry
54
General topology
55
Algebraic topology
57
Manifolds and cell complexes
58
Global analysis, analysis on manifolds
60
Probability theory and stochastic processes
62
Statistics
65
Numerical analysis
68
Computer science
70
Mechanics of particles and systems
74
Mechanics of deformable solids
76
Fluid mechanics
78
Optics, electromagnetic theory
80
Classical thermodynamics, heat transfer
81
Quantum Theory
82
Statistical mechanics, structure of matter
83
Relativity and gravitational theory
85
Astronomy and astrophysics
86
Geophysics
90
Optimization
91
Game theory, economics, social and behavioral sciences
92
Applications of mathematics to Biology and other natural sciences
93
Systems theory; control
94
Information and communication, circuits
97
Mathematics education
W3C
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