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The Resource Nonlinearly perturbed semi-Markov processes, Dmitrii Silvestrov, Sergei Silvestrov, (electronic resource)

Nonlinearly perturbed semi-Markov processes, Dmitrii Silvestrov, Sergei Silvestrov, (electronic resource)

Label
Nonlinearly perturbed semi-Markov processes
Title
Nonlinearly perturbed semi-Markov processes
Statement of responsibility
Dmitrii Silvestrov, Sergei Silvestrov
Creator
Contributor
Subject
Language
eng
Member of
Cataloging source
YDX
http://library.link/vocab/creatorName
Silʹvestrov, D. S.
Dewey number
  • 519.2/33
  • 510
Index
index present
LC call number
  • QA274.7
  • QA1-939
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Silvestrov, Sergei D
Series statement
SpringerBriefs in Probability and Mathematical Statistics,
http://library.link/vocab/subjectName
Markov processes
Label
Nonlinearly perturbed semi-Markov processes, Dmitrii Silvestrov, Sergei Silvestrov, (electronic resource)
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Preface; Contents; List of Symbols; 1 Introduction; 1.1 Examples; 1.1.1 Linear and Nonlinear Perturbations and High-Order Asymptotic Expansions; 1.1.2 Laurent Asymptotic Expansions; 1.1.3 Recurrent Algorithms of Phase Space Reduction; 1.1.4 Rates of Convergence and Explicit Upper Bounds for Remainders of Asymptotic Expansions; 1.2 Contents of the Book; 1.2.1 Chapter 2; 1.2.2 Chapter 3; 1.2.3 Chapter 4; 1.2.4 Chapter 5; 1.2.5 Chapter 6; 1.2.6 Appendix A; 1.3 Conclusion; 2 Laurent Asymptotic Expansions; 2.1 Laurent Asymptotic Expansions with Remainders Given in the Standard Form
  • 2.1.1 Definition of Laurent Asymptotic Expansions with Remainders Given in the Standard Form2.1.2 Operational Rules for Laurent Asymptotic Expansion with Remainders Given in the Standard Form; 2.1.3 Algebraic Properties of Operational Rules for Laurent Asymptotic Expansions with Remainders Given in the Standard Form; 2.2 Laurent Asymptotic Expansions with Explicit Upper Bounds for Remainders; 2.2.1 Definition of Laurent Asymptotic Expansions with Explicit Upper Bounds for Remainders; 2.2.2 Operational Rules for Laurent Asymptotic Expansion with Explicit Upper Bounds for Remainders
  • 2.2.3 Algebraic Properties of Operational Rules for Laurent Asymptotic Expansions with Explicit Upper Bounds for Remainders2.3 Proofs of Lemmas 2.1-2.8; 2.3.1 Lemmas 2.1 and 2.5; 2.3.2 Lemmas 2.2 and 2.6; 2.3.3 Lemmas 2.3 and 2.7; 2.3.4 Lemmas 2.4 and 2.8; 3 Asymptotic Expansions for Moments of Hitting Times for Nonlinearly Perturbed Semi-Markov Processes; 3.1 Perturbed Semi-Markov Processes; 3.1.1 Perturbed Semi-Markov Processes; 3.1.2 Hitting Times for Semi-Markov Processes; 3.1.3 Stationary Distributions for Semi-Markov Processes; 3.1.4 Perturbation Conditions for Semi-Markov Processes
  • 3.2 Reduction of Phase Spaces for Semi-Markov Processes3.2.1 Semi-Markov Processes with Reduced Phase Spaces; 3.2.2 Basic Model Conditions for Reduced Semi-Markov Processes; 3.2.3 Hitting Times for Reduced Semi-Markov Processes; 3.3 Asymptotic Expansions for Moments of Hitting Times for Perturbed Semi-Markov Processes; 3.3.1 Asymptotic Expansions with Remainders Given in the Standard Form for Transition Characteristics of Reduced Semi-Markov Processes; 3.3.2 Asymptotic Expansions with Remainders Given in the Standard Form for Moments of Hitting Times for Reduced Semi-Markov Processes
  • 3.3.3 Asymptotic Expansions with Explicit Upper Bounds for Remainders for Transition Characteristics of Reduced Semi-Markov Processes3.3.4 Asymptotic Expansions with Explicit Upper Bounds for Remainders for Moments of Hitting Times for Reduced Semi-Markov Processes; 4 Asymptotic Expansions for Stationary Distributions of Nonlinearly Perturbed Semi-Markov Processes; 4.1 Asymptotic Expansions with Remainders Given in the Standard Form for Stationary Distributions of Perturbed Semi-Markov Processes
Dimensions
unknown
Extent
1 online resource.
Form of item
online
Isbn
9783319609874
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Specific material designation
remote
System control number
on1003307792
Label
Nonlinearly perturbed semi-Markov processes, Dmitrii Silvestrov, Sergei Silvestrov, (electronic resource)
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Preface; Contents; List of Symbols; 1 Introduction; 1.1 Examples; 1.1.1 Linear and Nonlinear Perturbations and High-Order Asymptotic Expansions; 1.1.2 Laurent Asymptotic Expansions; 1.1.3 Recurrent Algorithms of Phase Space Reduction; 1.1.4 Rates of Convergence and Explicit Upper Bounds for Remainders of Asymptotic Expansions; 1.2 Contents of the Book; 1.2.1 Chapter 2; 1.2.2 Chapter 3; 1.2.3 Chapter 4; 1.2.4 Chapter 5; 1.2.5 Chapter 6; 1.2.6 Appendix A; 1.3 Conclusion; 2 Laurent Asymptotic Expansions; 2.1 Laurent Asymptotic Expansions with Remainders Given in the Standard Form
  • 2.1.1 Definition of Laurent Asymptotic Expansions with Remainders Given in the Standard Form2.1.2 Operational Rules for Laurent Asymptotic Expansion with Remainders Given in the Standard Form; 2.1.3 Algebraic Properties of Operational Rules for Laurent Asymptotic Expansions with Remainders Given in the Standard Form; 2.2 Laurent Asymptotic Expansions with Explicit Upper Bounds for Remainders; 2.2.1 Definition of Laurent Asymptotic Expansions with Explicit Upper Bounds for Remainders; 2.2.2 Operational Rules for Laurent Asymptotic Expansion with Explicit Upper Bounds for Remainders
  • 2.2.3 Algebraic Properties of Operational Rules for Laurent Asymptotic Expansions with Explicit Upper Bounds for Remainders2.3 Proofs of Lemmas 2.1-2.8; 2.3.1 Lemmas 2.1 and 2.5; 2.3.2 Lemmas 2.2 and 2.6; 2.3.3 Lemmas 2.3 and 2.7; 2.3.4 Lemmas 2.4 and 2.8; 3 Asymptotic Expansions for Moments of Hitting Times for Nonlinearly Perturbed Semi-Markov Processes; 3.1 Perturbed Semi-Markov Processes; 3.1.1 Perturbed Semi-Markov Processes; 3.1.2 Hitting Times for Semi-Markov Processes; 3.1.3 Stationary Distributions for Semi-Markov Processes; 3.1.4 Perturbation Conditions for Semi-Markov Processes
  • 3.2 Reduction of Phase Spaces for Semi-Markov Processes3.2.1 Semi-Markov Processes with Reduced Phase Spaces; 3.2.2 Basic Model Conditions for Reduced Semi-Markov Processes; 3.2.3 Hitting Times for Reduced Semi-Markov Processes; 3.3 Asymptotic Expansions for Moments of Hitting Times for Perturbed Semi-Markov Processes; 3.3.1 Asymptotic Expansions with Remainders Given in the Standard Form for Transition Characteristics of Reduced Semi-Markov Processes; 3.3.2 Asymptotic Expansions with Remainders Given in the Standard Form for Moments of Hitting Times for Reduced Semi-Markov Processes
  • 3.3.3 Asymptotic Expansions with Explicit Upper Bounds for Remainders for Transition Characteristics of Reduced Semi-Markov Processes3.3.4 Asymptotic Expansions with Explicit Upper Bounds for Remainders for Moments of Hitting Times for Reduced Semi-Markov Processes; 4 Asymptotic Expansions for Stationary Distributions of Nonlinearly Perturbed Semi-Markov Processes; 4.1 Asymptotic Expansions with Remainders Given in the Standard Form for Stationary Distributions of Perturbed Semi-Markov Processes
Dimensions
unknown
Extent
1 online resource.
Form of item
online
Isbn
9783319609874
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Specific material designation
remote
System control number
on1003307792

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