User:Boris Tsirelson

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My contributions

Measurable space + Standard Borel space + Analytic Borel space

Some statistics

We have 60+ articles with 60+ views each. [1]

History: Dec 2011: 40×40; Jan 2012: 60×60.

Links

Internal

Talk:EoM:This project + Help:MSC Templates + User:Ulf Rehmann/Predefined TeX Macros + User talk:Nbrothers + Encyclopedia of Mathematics:Administrators

Popular pages + Statistics + Version

New pages + New users + Categories + Wanted categories + Templates

External

MSC wiki + [2]

Probability

Absorbing state + Approximation by periodic transformations + Arcsine distribution + Asymptotic negligibility + Attraction domain of a stable distribution

Baire set + Bellman–Harris process + Bernoulli theorem + Bernoulli trials + Binomial distribution + Birkhoff ergodic theorem + Borel measure + Borel space + Borel strong law of large numbers + Borel–Cantelli lemma + Branching process + Branching process, age-dependent + Branching process with a random medium + Branching process with immigration + Branching processes, regularity of + Brownian motion

Cauchy distribution + Central limit theorem + Characteristic function + Chebyshev inequality in probability theory + Continuous distribution + Convergence, types of + Convergence in distribution + Convergence in probability + Convergence of measures + Cramér theorem + Cramér–von Mises test

Diffusion process + Discrete distribution + Dispersion + Distribution function + Distributions, convergence of + Dynamical system

Edgeworth series + Elementary flow + Entropy theory of a dynamical system + Ergodic theorem + Ergodic theory + Ergodicity + Exponential distribution + Extrapolation algorithm

Feller process + Flow (continuous-time dynamical system) + Functional of a Markov process

Galton–Watson process + Gaussian process + Generating function + Geometric distribution + Gram–Charlier series

Infinitely-divisible distribution

Kolmogorov equation + Kolmogorov test + Kolmogorov–Chapman equation + Kolmogorov–Smirnov test

Laplace theorem + Law of large numbers + Law of the iterated logarithm + Lebesgue integral + Lebesgue space + Limit theorems + Lévy canonical representation + Lévy metric

Markov chain + Markov chain, class of zero states of a + Markov chain, decomposable + Markov chain, generalized + Markov chain, non-decomposable + Markov chain, periodic + Markov chain, recurrent + Markov moment + Markov process + Markov property + Martingale + Mathematical expectation + Mathematical statistics + Maximal ergodic theorem + Measurable flow + Measurable function + Measurable space + Measure-preserving transformation + Median (in statistics) + Metric isomorphism + Metric transitivity + Mixing + Multinomial distribution

Normal distribution + Normal number

Operator ergodic theorem + Ornstein–Chacon ergodic theorem

Poisson distribution + Poisson process + Poisson theorem + Probabilistic metric space + Probability + Probability distribution + Probability measure + Probability of large deviations + Probability space + Probability theory

Quantile Random variable Separable process Sequential analysis Serial scheme Spectrum of a dynamical system Stable distribution Standard Borel space Stationary distribution Stationary stochastic process Statistical physics, mathematical problems in Stochastic differential equation Stochastic equivalence Stochastic indistinguishability Stochastic integral Stochastic matrix Stochastic process Stochastic process with independent increments Stochastic process with stationary increments Strange attractor Strong law of large numbers Tamagawa number Transition-operator semi-group Transition function Transition with prohibitions Triangular array Uniform distribution Von Neumann ergodic theorem Weak convergence of probability measures Wiener process

Know-how

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{{User:Boris Tsirelson/Anchor|countably separated}} (for now)

Article

Also: standard measurable space

{{MSC|03E15|28A05,54H05}}

[[Category:Descriptive set theory]]
[[Category:Classical measure theory]]

$ \newcommand...$
A Borel space is called standard if...

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{{MSC|60-01|60F15,60F20}}

Category

* {{MSC|60J10}}

[[Category:Markov processes]]

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* {{MSC|60Jxx}}

[[Category:Probability theory and stochastic processes]]

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* {{MSC|60}}

[[Category:Probability and statistics]]