05609nam 22017055 450 991015474580332120190708092533.01-4008-8160-910.1515/9781400881604(CKB)3710000000628092(MiAaPQ)EBC4738775(DE-B1597)468015(OCoLC)979580785(DE-B1597)9781400881604(iGPub)PUPB0005491(PPN)254303528(EXLCZ)99371000000062809220190708d2016 fg engurcnu||||||||rdacontentrdamediardacarrierStationary Processes and Prediction Theory. (AM-44), Volume 44 /Harry FurstenbergPrinceton, NJ : Princeton University Press, [2016]©19601 online resource (300 pages)Annals of Mathematics Studies ;2610-691-08041-0 Includes bibliography.Frontmatter -- ACKNOWLEDGEMENTS -- CONTENTS -- INTRODUCTION -- CHAPTER 1 . STOCHASTIC PROCESSES AND STOCHASTIC SEQUENCES -- CHAPTER 2. THE PREDICTION PROBLEMS FOR SEQUENCES -- CHAPTER 3. EXAMPLES AND COUNTEREXAMPLES -- CHAPTER 4 . SUBPROCESSES OP MARKOFF PROCESSES -- CHAPTER 5. STOCHASTIC SEMIGROUPS AND CONTINUOUS PREDICTABILITY -- CHAPTER 6. STATISTICAL PREDICTABILITY -- CHAPTER 7. INDUCTIVE FUNCTIONS -- CHAPTER 8. INDUCTIVE FUNCTIONS AND MARKOFF PROCESSES -- CHAPTER 9 . PROJECTIVE INDUCTIVE FUNCTIONS AND PREDICTION -- BIBLIOGRAPHY -- BackmatterThe description for this book, Stationary Processes and Prediction Theory. (AM-44), Volume 44, will be forthcoming.Annals of mathematics studies ;no. 44.Stochastic processesMathematical statisticsAbelian group.Adjoint equation.Almost periodic function.Almost surely.Automorphism.C*-algebra.Cartesian product.Character group.Characteristic function (probability theory).Coefficient.Commutative property.Complex number.Conditional expectation.Conditional probability.Continuous function (set theory).Continuous function.Corollary.Coset.Counterexample.Degeneracy (mathematics).Dimension (vector space).Dimensional analysis.Distribution function.Eigenvalues and eigenvectors.Endomorphism.Equation.Equivalence class.Equivalence relation.Ergodic process.Ergodic sequence.Ergodic theory.Ergodicity.Error term.Estimation.Euclidean space.Eventually (mathematics).Existence theorem.Existential quantification.Expectation value (quantum mechanics).Extrapolation.Fourier series.Fubini's theorem.Function (mathematics).Function composition.Functional equation.Generic point.Harmonic analysis.Hilbert space.Homeomorphism.Homomorphism.Identity element.Independence (probability theory).Inverse function.Invertible matrix.Least squares.Lebesgue measure.Limit (mathematics).Linear combination.Linear map.Linear prediction.Linear space (geometry).Markov chain.Metric space.Nonlinear system.Nonnegative matrix.Normed algebra.Parameter.Periodic sequence.Pointwise.Predictability.Prediction.Probability distribution.Probability measure.Probability space.Probability.Quotient space (topology).Random sequence.Random variable.Regular sequence.Sample space.Semigroup.Sequence space.Sequence.Shift operator.Sign (mathematics).Special case.Stationary process.Stochastic process.Stochastic.Subalgebra.Subgroup.Subsequence.Subset.Theorem.Time series.Topology.Uniform convergence.Variable (mathematics).Weak topology.Zorn's lemma.Stochastic processes.Mathematical statistics.519Furstenberg Harry, 47027DE-B1597DE-B1597BOOK9910154745803321Stationary Processes and Prediction Theory. (AM-44), Volume 442657527UNINA