Biblioteca Dr. Antonio Monteiro · Catálogo | |
60 | Probability theory and stochastic processes | ||
60-00 | General reference works (handbooks, dictionaries, bibliographies, etc.) | ||
60-01 | Instructional exposition (textbooks, tutorial papers, etc.) | ||
60-02 | Research exposition (monographs, survey articles) | ||
60-03 | Historical | ||
60-04 | Explicit machine computation and programs (not the theory of computation or programming) | ||
60-06 | Proceedings, conferences, collections, etc. | ||
60-08 | Computational methods (not classified at a more specific level) [See also 65C50] | ||
60-99 | Probability theory and stochastic processes (not classified at a more specific level) | ||
60A | Foundations of probability theory | ||
60A05 | Axioms; other general questions | ||
60A10 | Probabilistic measure theory {For ergodic theory, see 28Dxx and 60Fxx} | ||
60A99 | None of the above, but in this section | ||
60B | Probability theory on algebraic and topological structures | ||
60B05 | Probability measures on topological spaces | ||
60B10 | Convergence of probability measures | ||
60B11 | Probability theory on linear topological spaces [See also 28C20] | ||
60B12 | Limit theorems for vector-valued random variables (infinite-dimensional case) | ||
60B15 | Probability measures on groups, Fourier transforms, factorization | ||
60B99 | None of the above, but in this section | ||
60C05 | Combinatorial probability | ||
60D05 | Geometric probability, stochastic geometry, random sets [See also 52A22, 53C65] | ||
60E | Distribution theory [See also 62Exx, 62Hxx] | ||
60E05 | Distributions: general theory | ||
60E07 | Infinitely divisible distributions; stable distributions | ||
60E10 | Characteristic functions; other transforms | ||
60E15 | Inequalities; stochastic orderings | ||
60E99 | None of the above, but in this section | ||
60F | Limit theorems [See also 28Dxx, 60B12] | ||
60F05 | Central limit and other weak theorems | ||
60F10 | Large deviations | ||
60F15 | Strong theorems | ||
60F17 | Functional limit theorems; invariance principles | ||
60F20 | Zero-one laws | ||
60F25 | $L^p$-limit theorems | ||
60F99 | None of the above, but in this section | ||
60G | Stochastic processes | ||
60G05 | Foundations of stochastic processes | ||
60G07 | General theory of processes | ||
60G09 | Exchangeability | ||
60G10 | Stationary processes | ||
60G12 | General second-order processes | ||
60G15 | Gaussian processes | ||
60G17 | Sample path properties | ||
60G18 | Self-similar processes | ||
60G20 | Generalized stochastic processes | ||
60G25 | Prediction theory [See also 62M20] | ||
60G30 | Continuity and singularity of induced measures | ||
60G35 | Applications (signal detection, filtering, etc.) [See also 62M20, 93E10, 93E11, 94Axx] | ||
60G40 | Stopping times; optimal stopping problems; gambling theory [See also 62L15, 91A60] | ||
60G42 | Martingales with discrete parameter | ||
60G44 | Martingales with continuous parameter | ||
60G46 | Martingales and classical analysis | ||
60G48 | Generalizations of martingales | ||
60G50 | Sums of independent random variables; random walks | ||
60G51 | Processes with independent increments | ||
60G52 | Stable processes | ||
60G55 | Point processes | ||
60G57 | Random measures | ||
60G60 | Random fields | ||
60G70 | Extreme value theory; extremal processes | ||
60G99 | None of the above, but in this section | ||
60H | Stochastic analysis [See also 58J65] | ||
60H05 | Stochastic integrals | ||
60H07 | Stochastic calculus of variations and the Malliavin calculus | ||
60H10 | Stochastic ordinary differential equations [See also 34F05] | ||
60H15 | Stochastic partial differential equations [See also 35R60] | ||
60H20 | Stochastic integral equations | ||
60H25 | Random operators and equations [See also 47B80] | ||
60H30 | Applications of stochastic analysis (to PDE, etc.) | ||
60H35 | Computational methods for stochastic equations [See also 65C30] | ||
60H40 | White noise theory | ||
60H99 | None of the above, but in this section | ||
60J | Markov processes | ||
60J05 | Markov processes with discrete parameter | ||
60J10 | Markov chains with discrete parameter | ||
60J20 | Applications of discrete Markov processes (social mobility, learning theory, industrial processes, etc.) [See also 90B30, 91D10, 91D35, 91E40] | ||
60J22 | Computational methods in Markov chains [See also 65C40] | ||
60J25 | Markov processes with continuous parameter | ||
60J27 | Markov chains with continuous parameter | ||
60J35 | Transition functions, generators and resolvents [See also 47D03, 47D07] | ||
60J40 | Right processes | ||
60J45 | Probabilistic potential theory [See also 31Cxx, 31D05] | ||
60J50 | Boundary theory | ||
60J55 | Local time and additive functionals | ||
60J57 | Multiplicative functionals | ||
60J60 | Diffusion processes [See also 58J65] | ||
60J65 | Brownian motion [See also 58J65] | ||
60J70 | Applications of diffusion theory (population genetics, absorption problems, etc.) [See also 92Dxx] | ||
60J75 | Jump processes | ||
60J80 | Branching processes (Galton-Watson, birth-and-death, etc.) | ||
60J85 | Applications of branching processes [See also 92Dxx] | ||
60J99 | None of the above, but in this section | ||
60K | Special processes | ||
60K05 | Renewal theory | ||
60K10 | Applications (reliability, demand theory, etc.) | ||
60K15 | Markov renewal processes, semi-Markov processes | ||
60K20 | 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; statistical mechanics type models; percolation theory [See also 82B43, 82C43] | ||
60K37 | Processes in random environments | ||
60K40 | Other physical applications of random processes | ||
60K99 | None of the above, but in this section |
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