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Essentials of Integration Theory for Analysis / Daniel W. Stroock
Essentials of Integration Theory for Analysis / Daniel W. Stroock
Autore Stroock, Daniel W.
Edizione [2. ed]
Pubbl/distr/stampa Cham, : Springer, 2020
Descrizione fisica xvi, 285 p. : ill. ; 24 cm
Soggetto topico 26-XX - Real functions [MSC 2020]
28-XX - Measure and integration [MSC 2020]
28A25 - Integration with respect to measures and other set functions [MSC 2020]
26A42 - Integrals of Riemann, Stieltjes and Lebesgue type [MSC 2020]
Soggetto non controllato Divergence Theorem
Friedrich's mollifiers
Hausdorff Measure
Hermite functions
Integration theory
Jacobi's transformation
Lebesgue's differentiation theorem
Levy continuity theorem
Measure and integration
Radon-Nikodym theorem
Riemann integration
Riemann sum
Riesz sunrise lemma
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Titolo uniforme
Record Nr. UNICAMPANIA-VAN0249075
Stroock, Daniel W.  
Cham, : Springer, 2020
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
Essentials of Integration Theory for Analysis / Daniel W. Stroock
Essentials of Integration Theory for Analysis / Daniel W. Stroock
Autore Stroock, Daniel W.
Edizione [2. ed]
Pubbl/distr/stampa Cham, : Springer, 2020
Descrizione fisica xvi, 285 p. : ill. ; 24 cm
Soggetto topico 26-XX - Real functions [MSC 2020]
26A42 - Integrals of Riemann, Stieltjes and Lebesgue type [MSC 2020]
28-XX - Measure and integration [MSC 2020]
28A25 - Integration with respect to measures and other set functions [MSC 2020]
Soggetto non controllato Divergence Theorem
Friedrich's mollifiers
Hausdorff Measures
Hermite functions
Integration theory
Jacobi's transformation
Lebesgue's differentiation theorem
Levy continuity theorem
Measure and integration
Radon-Nikodym theorem
Riemann integration
Riemann sum
Riesz sunrise lemma
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Titolo uniforme
Record Nr. UNICAMPANIA-VAN00249075
Stroock, Daniel W.  
Cham, : Springer, 2020
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
Markov processes from K. Itô's perspective / / Daniel W. Stroock
Markov processes from K. Itô's perspective / / Daniel W. Stroock
Autore Stroock Daniel W.
Pubbl/distr/stampa Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2003
Descrizione fisica 1 online resource (289 p.)
Disciplina 519.2/33
Collana Annals of Mathematics Studies
Soggetto topico Markov processes
Stochastic difference equations
Soggetto non controllato Abelian group
Addition
Analytic function
Approximation
Bernhard Riemann
Bounded variation
Brownian motion
Central limit theorem
Change of variables
Coefficient
Complete metric space
Compound Poisson process
Continuous function (set theory)
Continuous function
Convergence of measures
Convex function
Coordinate system
Corollary
David Hilbert
Decomposition theorem
Degeneracy (mathematics)
Derivative
Diffeomorphism
Differentiable function
Differentiable manifold
Differential equation
Differential geometry
Dimension
Directional derivative
Doob–Meyer decomposition theorem
Duality principle
Elliptic operator
Equation
Euclidean space
Existential quantification
Fourier transform
Function space
Functional analysis
Fundamental solution
Fundamental theorem of calculus
Homeomorphism
Hölder's inequality
Initial condition
Integral curve
Integral equation
Integration by parts
Invariant measure
Itô calculus
Itô's lemma
Joint probability distribution
Lebesgue measure
Linear interpolation
Lipschitz continuity
Local martingale
Logarithm
Markov chain
Markov process
Markov property
Martingale (probability theory)
Normal distribution
Ordinary differential equation
Ornstein–Uhlenbeck process
Polynomial
Principal part
Probability measure
Probability space
Probability theory
Pseudo-differential operator
Radon–Nikodym theorem
Representation theorem
Riemann integral
Riemann sum
Riemann–Stieltjes integral
Scientific notation
Semimartingale
Sign (mathematics)
Special case
Spectral sequence
Spectral theory
State space
State-space representation
Step function
Stochastic calculus
Stochastic
Stratonovich integral
Submanifold
Support (mathematics)
Tangent space
Tangent vector
Taylor's theorem
Theorem
Theory
Topological space
Topology
Translational symmetry
Uniform convergence
Variable (mathematics)
Vector field
Weak convergence (Hilbert space)
Weak topology
ISBN 0-691-11542-7
1-4008-3557-7
Classificazione SI 830
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Preface -- Chapter 1. Finite State Space, a Trial Run -- Chapter 2. Moving to Euclidean Space, the Real Thing -- Chapter 3. Itô's Approach in the Euclidean Setting -- Chapter 4. Further Considerations -- Chapter 5. Itô's Theory of Stochastic Integration -- Chapter 6. Applications of Stochastic Integration to Brownian Motion -- Chapter 7. The Kunita-Watanabe Extension -- Chapter 8. Stratonovich's Theory -- Notation -- References -- Index
Record Nr. UNINA-9910791958803321
Stroock Daniel W.  
Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2003
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Markov processes from K. Itô's perspective / / Daniel W. Stroock
Markov processes from K. Itô's perspective / / Daniel W. Stroock
Autore Stroock Daniel W.
Pubbl/distr/stampa Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2003
Descrizione fisica 1 online resource (289 p.)
Disciplina 519.2/33
Collana Annals of Mathematics Studies
Soggetto topico Markov processes
Stochastic difference equations
Soggetto non controllato Abelian group
Addition
Analytic function
Approximation
Bernhard Riemann
Bounded variation
Brownian motion
Central limit theorem
Change of variables
Coefficient
Complete metric space
Compound Poisson process
Continuous function (set theory)
Continuous function
Convergence of measures
Convex function
Coordinate system
Corollary
David Hilbert
Decomposition theorem
Degeneracy (mathematics)
Derivative
Diffeomorphism
Differentiable function
Differentiable manifold
Differential equation
Differential geometry
Dimension
Directional derivative
Doob–Meyer decomposition theorem
Duality principle
Elliptic operator
Equation
Euclidean space
Existential quantification
Fourier transform
Function space
Functional analysis
Fundamental solution
Fundamental theorem of calculus
Homeomorphism
Hölder's inequality
Initial condition
Integral curve
Integral equation
Integration by parts
Invariant measure
Itô calculus
Itô's lemma
Joint probability distribution
Lebesgue measure
Linear interpolation
Lipschitz continuity
Local martingale
Logarithm
Markov chain
Markov process
Markov property
Martingale (probability theory)
Normal distribution
Ordinary differential equation
Ornstein–Uhlenbeck process
Polynomial
Principal part
Probability measure
Probability space
Probability theory
Pseudo-differential operator
Radon–Nikodym theorem
Representation theorem
Riemann integral
Riemann sum
Riemann–Stieltjes integral
Scientific notation
Semimartingale
Sign (mathematics)
Special case
Spectral sequence
Spectral theory
State space
State-space representation
Step function
Stochastic calculus
Stochastic
Stratonovich integral
Submanifold
Support (mathematics)
Tangent space
Tangent vector
Taylor's theorem
Theorem
Theory
Topological space
Topology
Translational symmetry
Uniform convergence
Variable (mathematics)
Vector field
Weak convergence (Hilbert space)
Weak topology
ISBN 0-691-11542-7
1-4008-3557-7
Classificazione SI 830
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Preface -- Chapter 1. Finite State Space, a Trial Run -- Chapter 2. Moving to Euclidean Space, the Real Thing -- Chapter 3. Itô's Approach in the Euclidean Setting -- Chapter 4. Further Considerations -- Chapter 5. Itô's Theory of Stochastic Integration -- Chapter 6. Applications of Stochastic Integration to Brownian Motion -- Chapter 7. The Kunita-Watanabe Extension -- Chapter 8. Stratonovich's Theory -- Notation -- References -- Index
Record Nr. UNINA-9910809577703321
Stroock Daniel W.  
Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2003
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Selfsimilar processes [[electronic resource] /] / Paul Embrechts and Makoto Maejima
Selfsimilar processes [[electronic resource] /] / Paul Embrechts and Makoto Maejima
Autore Embrechts Paul <1953->
Edizione [Course Book]
Pubbl/distr/stampa Princeton, N.J., : Princeton University Press, c2002
Descrizione fisica 1 online resource (123 p.)
Disciplina 519.2/4
Altri autori (Persone) MaejimaMakoto
Collana Princeton series in applied mathematics
Soggetto topico Distribution (Probability theory)
Self-similar processes
Soggetto non controllato Almost surely
Approximation
Asymptotic analysis
Autocorrelation
Autoregressive conditional heteroskedasticity
Autoregressive–moving-average model
Availability
Benoit Mandelbrot
Brownian motion
Central limit theorem
Change of variables
Computational problem
Confidence interval
Correlogram
Covariance matrix
Data analysis
Data set
Determination
Fixed point (mathematics)
Foreign exchange market
Fractional Brownian motion
Function (mathematics)
Gaussian process
Heavy-tailed distribution
Heuristic method
High frequency
Inference
Infimum and supremum
Instance (computer science)
Internet traffic
Joint probability distribution
Likelihood function
Limit (mathematics)
Linear regression
Log–log plot
Marginal distribution
Mathematica
Mathematical finance
Mathematics
Methodology
Mixture model
Model selection
Normal distribution
Parametric model
Power law
Probability theory
Publication
Random variable
Regime
Renormalization
Result
Riemann sum
Self-similar process
Self-similarity
Simulation
Smoothness
Spectral density
Square root
Stable distribution
Stable process
Stationary process
Stationary sequence
Statistical inference
Statistical physics
Statistics
Stochastic calculus
Stochastic process
Technology
Telecommunication
Textbook
Theorem
Time series
Variance
Wavelet
Website
ISBN 1-282-08759-2
9786612087592
1-4008-2510-5
1-4008-1424-3
Classificazione SK 820
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Contents -- Chapter 1. Introduction -- Chapter 2. Some Historical Background -- Chapter 3. Self similar Processes with Stationary Increments -- Chapter 4. Fractional Brownian Motion -- Chapter 5. Self similar Processes with Independent Increments -- Chapter 6. Sample Path Properties of Self similar Stable Processes with Stationary Increments -- Chapter 7. Simulation of Self similar Processes -- Chapter 8. Statistical Estimation -- Chapter 9. Extensions -- References -- Index
Record Nr. UNINA-9910779907303321
Embrechts Paul <1953->  
Princeton, N.J., : Princeton University Press, c2002
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui