Chaotic transitions in deterministic and stochastic dynamical systems : applications of Melnikov processes in engineering, physics, and neuroscience / / Emil Simiu |
Autore | Simiu Emil |
Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2002 |
Descrizione fisica | 1 online resource (244 p.) |
Disciplina | 515/.352 |
Collana | Princeton Series in Applied Mathematics |
Soggetto topico |
Differentiable dynamical systems
Chaotic behavior in systems Stochastic systems |
Soggetto non controllato |
Affine transformation
Amplitude Arbitrarily large Attractor Autocovariance Big O notation Central limit theorem Change of variables Chaos theory Coefficient of variation Compound Probability Computational problem Control theory Convolution Coriolis force Correlation coefficient Covariance function Cross-covariance Cumulative distribution function Cutoff frequency Deformation (mechanics) Derivative Deterministic system Diagram (category theory) Diffeomorphism Differential equation Dirac delta function Discriminant Dissipation Dissipative system Dynamical system Eigenvalues and eigenvectors Equations of motion Even and odd functions Excitation (magnetic) Exponential decay Extreme value theory Flow velocity Fluid dynamics Forcing (recursion theory) Fourier series Fourier transform Fractal dimension Frequency domain Gaussian noise Gaussian process Harmonic analysis Harmonic function Heteroclinic orbit Homeomorphism Homoclinic orbit Hyperbolic point Inference Initial condition Instability Integrable system Invariant manifold Iteration Joint probability distribution LTI system theory Limit cycle Linear differential equation Logistic map Marginal distribution Moduli (physics) Multiplicative noise Noise (electronics) Nonlinear control Nonlinear system Ornstein–Uhlenbeck process Oscillation Parameter space Parameter Partial differential equation Perturbation function Phase plane Phase space Poisson distribution Probability density function Probability distribution Probability theory Probability Production–possibility frontier Relative velocity Scale factor Shear stress Spectral density Spectral gap Standard deviation Stochastic process Stochastic resonance Stochastic Stream function Surface stress Symbolic dynamics The Signal and the Noise Topological conjugacy Transfer function Variance Vorticity |
ISBN |
0-691-05094-5
1-4008-3250-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Preface -- Chapter 1. Introduction -- PART 1. FUNDAMENTALS -- Chapter 2. Transitions in Deterministic Systems and the Melnikov Function -- Chapter 3. Chaos in Deterministic Systems and the Melnikov Function -- Chapter 4. Stochastic Processes -- Chapter 5. Chaotic Transitions in Stochastic Dynamical Systems and the Melnikov Process -- PART 2. APPLICATIONS -- Chapter 6. Vessel Capsizing -- Chapter 7. Open-Loop Control of Escapes in Stochastically Excited Systems -- Chapter 8. Stochastic Resonance -- Chapter 9. Cutoff Frequency of Experimentally Generated Noise for a First-Order Dynamical System -- Chapter 10. Snap-Through of Transversely Excited Buckled Column -- Chapter 11. Wind-Induced Along-Shore Currents over a Corrugated Ocean Floor -- Chapter 12. The Auditory Nerve Fiber as a Chaotic Dynamical System -- Appendix A1 Derivation of Expression for the Melnikov Function -- Appendix A2 Construction of Phase Space Slice through Stable and Unstable Manifolds -- Appendix A3 Topological Conjugacy -- Appendix A4 Properties of Space ∑2 -- Appendix A5 Elements of Probability Theory -- Appendix A6 Mean Upcrossing Rate τu-1 for Gaussian Processes -- Appendix A7 Mean Escape Rate τ∊-1 for Systems Excited by White Noise -- References -- Index |
Record Nr. | UNINA-9910786748903321 |
Simiu Emil
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Princeton, New Jersey : , : Princeton University Press, , 2002 | ||
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Lo trovi qui: Univ. Federico II | ||
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Chaotic transitions in deterministic and stochastic dynamical systems : applications of Melnikov processes in engineering, physics, and neuroscience / / Emil Simiu |
Autore | Simiu Emil |
Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2002 |
Descrizione fisica | 1 online resource (244 p.) |
Disciplina | 515/.352 |
Collana | Princeton Series in Applied Mathematics |
Soggetto topico |
Differentiable dynamical systems
Chaotic behavior in systems Stochastic systems |
Soggetto non controllato |
Affine transformation
Amplitude Arbitrarily large Attractor Autocovariance Big O notation Central limit theorem Change of variables Chaos theory Coefficient of variation Compound Probability Computational problem Control theory Convolution Coriolis force Correlation coefficient Covariance function Cross-covariance Cumulative distribution function Cutoff frequency Deformation (mechanics) Derivative Deterministic system Diagram (category theory) Diffeomorphism Differential equation Dirac delta function Discriminant Dissipation Dissipative system Dynamical system Eigenvalues and eigenvectors Equations of motion Even and odd functions Excitation (magnetic) Exponential decay Extreme value theory Flow velocity Fluid dynamics Forcing (recursion theory) Fourier series Fourier transform Fractal dimension Frequency domain Gaussian noise Gaussian process Harmonic analysis Harmonic function Heteroclinic orbit Homeomorphism Homoclinic orbit Hyperbolic point Inference Initial condition Instability Integrable system Invariant manifold Iteration Joint probability distribution LTI system theory Limit cycle Linear differential equation Logistic map Marginal distribution Moduli (physics) Multiplicative noise Noise (electronics) Nonlinear control Nonlinear system Ornstein–Uhlenbeck process Oscillation Parameter space Parameter Partial differential equation Perturbation function Phase plane Phase space Poisson distribution Probability density function Probability distribution Probability theory Probability Production–possibility frontier Relative velocity Scale factor Shear stress Spectral density Spectral gap Standard deviation Stochastic process Stochastic resonance Stochastic Stream function Surface stress Symbolic dynamics The Signal and the Noise Topological conjugacy Transfer function Variance Vorticity |
ISBN |
0-691-05094-5
1-4008-3250-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Preface -- Chapter 1. Introduction -- PART 1. FUNDAMENTALS -- Chapter 2. Transitions in Deterministic Systems and the Melnikov Function -- Chapter 3. Chaos in Deterministic Systems and the Melnikov Function -- Chapter 4. Stochastic Processes -- Chapter 5. Chaotic Transitions in Stochastic Dynamical Systems and the Melnikov Process -- PART 2. APPLICATIONS -- Chapter 6. Vessel Capsizing -- Chapter 7. Open-Loop Control of Escapes in Stochastically Excited Systems -- Chapter 8. Stochastic Resonance -- Chapter 9. Cutoff Frequency of Experimentally Generated Noise for a First-Order Dynamical System -- Chapter 10. Snap-Through of Transversely Excited Buckled Column -- Chapter 11. Wind-Induced Along-Shore Currents over a Corrugated Ocean Floor -- Chapter 12. The Auditory Nerve Fiber as a Chaotic Dynamical System -- Appendix A1 Derivation of Expression for the Melnikov Function -- Appendix A2 Construction of Phase Space Slice through Stable and Unstable Manifolds -- Appendix A3 Topological Conjugacy -- Appendix A4 Properties of Space ∑2 -- Appendix A5 Elements of Probability Theory -- Appendix A6 Mean Upcrossing Rate τu-1 for Gaussian Processes -- Appendix A7 Mean Escape Rate τ∊-1 for Systems Excited by White Noise -- References -- Index |
Record Nr. | UNINA-9910827211303321 |
Simiu Emil
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Princeton, New Jersey : , : Princeton University Press, , 2002 | ||
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Lo trovi qui: Univ. Federico II | ||
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Contributions to the Theory of Games (AM-24), Volume I / / Albert William Tucker, Harold William Kuhn |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (221 pages) : illustrations |
Disciplina | 519.3 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Game theory |
Soggetto non controllato |
Affine space
Almost surely Banach space Basic solution (linear programming) Bilinear form Boundary (topology) Bounded variation Calculation Characteristic function (probability theory) Characterization (mathematics) Coefficient Combination Completeness of the real numbers Computation Computational problem Connected space Continuous function (set theory) Continuous function Continuous game Convex combination Convex set Counterexample Diagram (category theory) Dimension (vector space) Dimension Dimensional analysis Elementary proof Equation solving Equilibrium point Euclidean space Existential quantification Exterior (topology) Extreme point Facet (geometry) Fubini's theorem Function (mathematics) Function space Fundamental theorem Geometry Helly's theorem Hyperplane Identity matrix Inequality (mathematics) Infimum and supremum Interior (topology) Invertible matrix Iterative method Limit of a sequence Limit point Linear inequality Linear map Linear programming Mathematical analysis Mathematical optimization Mathematics Matrix (mathematics) Maxima and minima Maximal set Measure (mathematics) Minimax theorem Mutual exclusivity NSPACE Orthogonal basis Orthogonal matrix Orthogonal polynomials Partially ordered set Permutation Polyhedron Polynomial Probability distribution Probability Proportionality (mathematics) Rational number Riemann–Stieltjes integral Scientific notation Set (mathematics) Set theory Sign (mathematics) Skew-symmetric matrix Solution concept Special case Strategy (game theory) Subsequence Subset Summation Symmetrization Theorem Theory of Games and Economic Behavior Theory Topology Transfinite number Transfinite Unit interval Unit sphere Unit vector Vandermonde matrix Variable (mathematics) Vector space Weak convergence (Hilbert space) Weyl's theorem |
ISBN | 1-4008-8172-2 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- PREFACE -- CONTENTS -- PART I. FINITE GAMES -- 1. THE ELEMENTARY THEORY OF CONVEX POLYHEDRA -- 2. ELEMENTARY PROOF OF A MINIMAX THEOREM DUE TO VON NEUMANN -- 3. BASIC SOLUTIONS OF DISCRETE GAMES / Shapley, L. S. / Snow, R. N. -- 4. SOLUTIONS OF FINITE TWO-PERSON GAMES / Gale, D. / Sherman, S. -- 5. SOLUTIONS OF DISCRETE, TWO-PERSON GAMES / Bohnenblust, H. F. / Karlin, S. -- 6. SOLUTIONS OF GAMES BY DIFFERENTIAL EQUATIONS / Brown, G. W. / Neumann, J. von -- 7. ON SYMMETRIC GAMES / Gale, D. / Kuhn, H. W. / Tucker, A. W. -- 8. REDUCTIONS OP GAME MATRICES / Gale, D. / Kuhn, H. W. / Tucker, A. W. -- 9. A SIMPLIFIED TWO-PERSON POKER / Kuhn, H. W. -- 10. A SIMPLE THREE-PERSON POKER GAME / Nash, J. F. / Shapley, L. S. -- 11. ISOMORPHISM OF GAMES, AND STRATEGIC EQUIVALENCE / McKinsey, J. C. C. -- PART II. INFINITE GAMES -- 12. OPERATOR TREATMENT OF MINMAX PRINCIPLE / Karlin, Samuel -- 13. ON A THEOREM OF VILLE / Bohnenblust, H. F. / Karlin, S. -- 14. POLYNOMIAL GAMES / Dresher, M. / Karlin, S. / Shapley, L. S. -- 15. GAMES WITH CONTINUOUS, CONVEX PAY-OFF / Bohnenblust, H. F. / Karlin, S. / Shapley, L. S. -- BIBLIOGRAPHY |
Record Nr. | UNINA-9910154754103321 |
Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Control theoretic splines [[electronic resource] ] : optimal control, statistics, and path planning / / Magnus Egerstedt and Clyde Martin |
Autore | Egerstedt Magnus |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, : Princeton University Press, c2010 |
Descrizione fisica | 1 online resource (227 p.) |
Disciplina | 511/.42 |
Altri autori (Persone) | MartinClyde |
Collana | Princeton series in applied mathematics |
Soggetto topico |
Interpolation
Smoothing (Numerical analysis) Smoothing (Statistics) Curve fitting Splines Spline theory |
Soggetto non controllato |
Accuracy and precision
Affine space Affine variety Algorithm Approximation Arbitrarily large B-spline Banach space Bernstein polynomial Bifurcation theory Big O notation Birkhoff interpolation Boundary value problem Bézier curve Chaos theory Computation Computational problem Condition number Constrained optimization Continuous function (set theory) Continuous function Control function (econometrics) Control theory Controllability Convex optimization Convolution Cubic Hermite spline Data set Derivative Differentiable function Differential equation Dimension (vector space) Directional derivative Discrete mathematics Dynamic programming Equation Estimation Filtering problem (stochastic processes) Gaussian quadrature Gradient descent Gramian matrix Growth curve (statistics) Hermite interpolation Hermite polynomials Hilbert projection theorem Hilbert space Initial condition Initial value problem Integral equation Iterative method Karush–Kuhn–Tucker conditions Kernel method Lagrange polynomial Law of large numbers Least squares Linear algebra Linear combination Linear filter Linear map Mathematical optimization Mathematics Maxima and minima Monotonic function Nonlinear programming Nonlinear system Normal distribution Numerical analysis Numerical stability Optimal control Optimization problem Ordinary differential equation Orthogonal polynomials Parameter Piecewise Pointwise Polynomial interpolation Polynomial Probability distribution Quadratic programming Random variable Rate of convergence Ratio test Riccati equation Simpson's rule Simultaneous equations Smoothing spline Smoothing Smoothness Special case Spline (mathematics) Spline interpolation Statistic Stochastic calculus Stochastic Telemetry Theorem Trapezoidal rule Waypoint Weight function Without loss of generality |
ISBN |
1-282-45796-9
1-282-93606-9 9786612936067 9786612457968 1-4008-3387-6 |
Classificazione | SK 880 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. Introduction -- Chapter Two. Control Systems and Minimum Norm Problems -- Chapter Three. Eight Fundamental Problems -- Chapter Four. Smoothing Splines and Generalizations -- Chapter Five. Approximations and Limiting Concepts -- Chapter Six. Smoothing Splines with Continuous Data -- Chapter Seven. Monotone Smoothing Splines -- Chapter Eight. Smoothing Splines as Integral Filters -- Chapter Nine. Optimal Transfer between Affine Varieties -- Chapter Ten. Path Planning and Telemetry -- Chapter Eleven. Node Selection -- Bibliography -- Index |
Record Nr. | UNINA-9910780863803321 |
Egerstedt Magnus
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Princeton, : Princeton University Press, c2010 | ||
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Lo trovi qui: Univ. Federico II | ||
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Existence Theorems in Partial Differential Equations. (AM-23), Volume 23 / / Dorothy L. Bernstein |
Autore | Bernstein Dorothy L. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (245 pages) |
Disciplina | 517.38 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Differential equations, Partial
Existence theorems |
Soggetto non controllato |
0O
3N Addition Analytic function Applied mathematics Big O notation Biharmonic equation Boundary value problem C0 Calculation Cartesian coordinate system Cauchy problem Characteristic equation Closed-form expression Coefficient Computation Computational problem Constructive proof Continuous function (set theory) Continuous function Convex set Coordinate system Derivative Determination Differential equation Dirichlet problem Elliptic partial differential equation Empty set Equation Existence theorem Existential quantification Explicit formulae (L-function) Exterior (topology) Finite difference Flattening Formal scheme Fourier transform Fundamental solution Geometry Green's function Harmonic function Implicit function theorem Implicit function Improper integral Initial value problem Integral equation Interval (mathematics) Laplace transform Limit of a sequence Linear combination Linear differential equation Linear equation Mathematician Method of characteristics Nonlinear system Numerical analysis Ordinary differential equation Parameter Partial derivative Partial differential equation Pessimism Plane curve Power series Probability of success Probability Pure mathematics Radius of convergence Real number Real variable Requirement Scientific notation Second derivative Series (mathematics) Simultaneous equations Special case Terminology Theorem Theory Three-dimensional space (mathematics) Truncation error Uniform convergence Upper and lower bounds Variable (mathematics) |
ISBN | 1-4008-8222-2 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Foreword / Engstrom, H. T. -- Preface / Tompkins, C. -- Table of Contents -- Annals of Mathematics Studies -- I. Introduction -- II. The Initial Value Problem and the Problem of Cauchy for First Order Differential Equations -- III. Second Order Differential Equations -- IV. Partial Differential Equations of Order n > 2 -- Bibliography |
Record Nr. | UNINA-9910154748303321 |
Bernstein Dorothy L.
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Linear Inequalities and Related Systems. (AM-38), Volume 38 / / Harold William Kuhn, Albert William Tucker |
Autore | Kuhn Harold William |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (353 pages) : illustrations, tables |
Disciplina | 512.89 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Linear programming
Matrices Game theory |
Soggetto non controllato |
Banach space
Basic solution (linear programming) Big O notation Bilinear form Boundary (topology) Brouwer fixed-point theorem Characterization (mathematics) Coefficient Combination Computation Computational problem Convex combination Convex cone Convex hull Convex set Corollary Correlation and dependence Cramer's rule Cyclic permutation Dedekind cut Degeneracy (mathematics) Determinant Diagram (category theory) Dilworth's theorem Dimension (vector space) Directional derivative Disjoint sets Doubly stochastic matrix Dual space Duality (mathematics) Duality (optimization) Eigenvalues and eigenvectors Elementary proof Equation solving Equation Equivalence class Euclidean space Existence theorem Existential quantification Extreme point Fixed-point theorem Functional analysis Fundamental theorem General equilibrium theory Hall's theorem Hilbert space Incidence matrix Inequality (mathematics) Infimum and supremum Invertible matrix Kakutani fixed-point theorem Lagrange multiplier Linear equation Linear inequality Linear map Linear programming Linear space (geometry) Linear subspace Loss function Main diagonal Mathematical induction Mathematical optimization Mathematical problem Max-flow min-cut theorem Maxima and minima Maximal set Maximum flow problem Menger's theorem Minor (linear algebra) Monotonic function N-vector Nonlinear programming Nonnegative matrix Parity (mathematics) Partially ordered set Permutation matrix Permutation Polyhedron Quantity Representation theorem Row and column vectors Scientific notation Sensitivity analysis Set notation Sign (mathematics) Simplex algorithm Simultaneous equations Solution set Special case Subset Summation System of linear equations Theorem Transpose Unit sphere Unit vector Upper and lower bounds Variable (mathematics) Vector space Von Neumann's theorem |
ISBN | 1-4008-8198-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Preface -- Contents -- 1 . Dual Systems of Homogeneous Linear Relations / Tucker, A. W. -- 2. Polyhedral Convex Cones / Goldman, A. J. / Tucker, A. W. -- 3 . Resolution and Separation Theorems for Polyhedral Convex Sets / Goldman, A. J. -- 4. Theory of Linear Programming / Goldman, A. J. / Tucker, A. W. -- 5. On Systems of Linear Inequalities / Pan, Ky -- 6. Infinite Programs / Duffin, R . J . -- 7* A Primal-Dual Algorithm for Linear Programs / Dantzig, G. B. / Ford, L. R. / Fulkerson, D. R. -- 8. Marginal Values of Matrix Games and Linear Programs / Mills, Harlan D. -- 9 . Determinateness of Polyhedral Games / Wolfe, Philip -- 10. On Systems of Distinct Representatives / Hoffman, A. J. / Kuhn, H. W. -- 11. Dilworth's Theorem on Partially Ordered Sets / Dantzig, G. B. / Hoffman, A. J. -- 12. On the Max-Flow Min-Cut Theorem of Networks / Dantzig, G. B. / Fulkerson, D. R. -- 13. Integral Boundary Points of Convex Polyhedra / Hoffman, A. J. / Kruskal, J. B. -- 14 . An Extension of a Theorem of Dantzig's / Heller, I. / Tompkins, C. B. -- 15. Neighboring Vertices on a Convex Polyhedron / Gale, David -- 16. On a Theorem of Wald / Kuhn, H. W. -- 17. On the Solution of a Game-Theoretic Problem / Thompson, Gerald L. -- 18. The Closed Linear Model of Production / Gale, David -- Bibliography -- Backmatter |
Record Nr. | UNINA-9910154749603321 |
Kuhn Harold William
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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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->
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Princeton, N.J., : Princeton University Press, c2002 | ||
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Lo trovi qui: Univ. Federico II | ||
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