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Limit Theorems for Randomly Stopped Stochastic Processes Book

Limit Theorems for Randomly Stopped Stochastic Processes
Limit Theorems for Randomly Stopped Stochastic Processes, This volume is the first to present a state-of-the-art overview of this field, with many results published for the first time. It covers the general conditions as well as the basic applications of the theory, and it covers and demystifies the vast and tec, Limit Theorems for Randomly Stopped Stochastic Processes has a rating of 3 stars
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Limit Theorems for Randomly Stopped Stochastic Processes, This volume is the first to present a state-of-the-art overview of this field, with many results published for the first time. It covers the general conditions as well as the basic applications of the theory, and it covers and demystifies the vast and tec, Limit Theorems for Randomly Stopped Stochastic Processes
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  • Limit Theorems for Randomly Stopped Stochastic Processes
  • Written by author Dmitrii S. Silvestrov
  • Published by Springer-Verlag New York, LLC, January 2004
  • This volume is the first to present a state-of-the-art overview of this field, with many results published for the first time. It covers the general conditions as well as the basic applications of the theory, and it covers and demystifies the vast and tec
  • Limit theorems for stochastic processes are an important part of probability theory and mathematical statistics and one model that has attracted the attention of many researchers working in the area is that of limit theorems for randomly stopped stochasti
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Preface
List of Figures
1Weak convergence of stochastic processes1
1.1Introductory remarks2
1.2Weak convergence in R[subscript m]10
1.3Weak convergence in metric spaces14
1.4The space D of cadlag functions21
1.5J-continuous functionals32
1.6J-convergence of cadlag processes40
2Weak convergence of randomly stopped stochastic processes63
2.1Introductory remarks64
2.2Randomly stopped scalar cadlag processes73
2.3Randomly stopped vector cadlag processes77
2.4Weakened continuity conditions88
2.5Iterated weak limits107
2.6Scalar compositions of cadlag processes112
2.7Vector compositions of cadlag processes122
2.8Translation theorems130
2.9Randomly stopped locally compact cadlag processes139
3J-convergence of compositions of stochastic processes147
3.1Introductory remarks148
3.2Compositions with asymptotically continuous components158
3.3Asymptotically continuous external processes165
3.4Asymptotically continuous internal stopping processes173
3.5Semi-vector compositions of cadlag functions181
3.6Semi-vector compositions of cadlag processes189
3.7Vector compositions of cadlag functions200
3.8Vector compositions of cadlag processes214
4Summary of applications229
4.1Introductory remarks231
4.2Randomly stopped sum-processes240
4.3Generalised exceeding processes251
4.4Step generalised exceeding processes271
4.5Sum-processes with renewal stopping280
4.6Accumulation processes292
4.7Extremes with random sample size303
4.8Mixed sum-max processes310
4.9Max-processes with renewal stopping322
4.10Shock processes329
Bibliographical remarks339
References351
Index393


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Limit Theorems for Randomly Stopped Stochastic Processes, This volume is the first to present a state-of-the-art overview of this field, with many results published for the first time. It covers the general conditions as well as the basic applications of the theory, and it covers and demystifies the vast and tec, Limit Theorems for Randomly Stopped Stochastic Processes

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Limit Theorems for Randomly Stopped Stochastic Processes, This volume is the first to present a state-of-the-art overview of this field, with many results published for the first time. It covers the general conditions as well as the basic applications of the theory, and it covers and demystifies the vast and tec, Limit Theorems for Randomly Stopped Stochastic Processes

Limit Theorems for Randomly Stopped Stochastic Processes

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Limit Theorems for Randomly Stopped Stochastic Processes, This volume is the first to present a state-of-the-art overview of this field, with many results published for the first time. It covers the general conditions as well as the basic applications of the theory, and it covers and demystifies the vast and tec, Limit Theorems for Randomly Stopped Stochastic Processes

Limit Theorems for Randomly Stopped Stochastic Processes

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