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Asymptotic Methods in Probability and Statistics with Applications Book

Asymptotic Methods in Probability and Statistics with Applications
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Asymptotic Methods in Probability and Statistics with Applications, This book represents thirty-eight extensive and carefully edited chapters written by prominent researchers, providing an up-to-date survey of new asymptotic methods in science and technology. The chapters contain broad coverage of the latest developments , Asymptotic Methods in Probability and Statistics with Applications
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  • Asymptotic Methods in Probability and Statistics with Applications
  • Written by author N. Balakrishnan
  • Published by Birkhauser Verlag, 4/30/2013
  • This book represents thirty-eight extensive and carefully edited chapters written by prominent researchers, providing an up-to-date survey of new asymptotic methods in science and technology. The chapters contain broad coverage of the latest developments
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Preface
Contributors
1 Positive Linnik and Discrete Linnik Distributions 3
2 On Finite-Dimensional Archimedean Copulas 19
3 Characterization and Stability Problems for Finite Quadratic Forms 39
4 A Characterization of Gaussian Distributions by Signs of Even Cumulants 51
5 On a Class of Pseudo-Isotropic Distributions 55
6 Time Reversal of Diffusion Processes in Hilbert Spaces and Manifolds 65
7 Localization of Marjorizing Measures 81
8 Multidimensional Hungarian Construction for Vectors with Almost Gaussian Smooth Distributions 101
9 On the Existence of Weak Solutions for Stochastic Differential Equations With Driving L[superscript 2]-Valued Measures 133
10 Tightness of Stochastic Families Arising From Randomization Procedures 143
11 Long-Time Behavior of Multi-Particle Markovian Models 161
12 Applications of Infinite-Dimensional Gaussian Integrals 177
13 On Maximum of Gaussian Non-Centered Fields Indexed on Smooth Manifolds 189
14 Typical Distributions: Infinite-Dimensional Approaches 205
15 A Local Limit Theorem for Stationary Processes in the Domain of Attraction of a Normal Distribution 215
16 On the Maximal Excursion Over Increasing Runs 225
17 Almost Sure Behaviour of Partial Maxima Sequences of Some m-Dependent Stationary Sequences 243
18 On a Strong Limit Theorem for Sums of Independent Random Variables 251
19 Development of Linnik's Work in His Investigation of the Probabilities of Large Deviation 259
20 Lower Bounds on Large Deviation Probabilities for Sums of Independent Random Variables 277
21 Characterization of Geometric Distribution Through Weak Records 299
22 Asymptotic Distributions of Statistics Based on Order Statistics and Record Values and Invariant Confidence Intervals 309
23 Record Values in Archimedean Copula Processes 321
24 Functional CLT and LIL for Induced Order Statistics 333
25 Notes on the KMT Brownian Bridge Approximation to the Uniform Empirical Process 351
26 Inter-Record Times in Poisson Paced F[superscript [alpha]] Models 371
27 Goodness-of-Fit Tests for the Generalized Additive Risk Models 385
28 The Combination of the Sign and Wilcoxon Tests for Symmetry and Their Pitman Efficiency 395
29 Exponential Approximation of Statistical Experiments 409
30 The Asymptotic Distribution of a Sequential Estimator for the Parameter in an AR(1) Model with Stable Errors 425
31 Estimation Based on the Empirical Characteristic Function 435
32 Asymptotic Behavior of Approximate Entropy 451
33 Threshold Phenomena in Random Walks 465
34 Identifying a Finite Graph by Its Random Walk 487
35 The Comparison of the Edgeworth and Bergstrom Expansions 493
36 Recent Progress in Probabilistic Number Theory 507
37 On Mean Value of Profit for Option Holder: Cases of a Non-Classical and the Classical Market Models 523
38 On the Probability Models to Control the Investor Portfolio 535
Index 547


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Asymptotic Methods in Probability and Statistics with Applications, This book represents thirty-eight extensive and carefully edited chapters written by prominent researchers, providing an up-to-date survey of new asymptotic methods in science and technology. The chapters contain broad coverage of the latest developments , Asymptotic Methods in Probability and Statistics with Applications

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Asymptotic Methods in Probability and Statistics with Applications, This book represents thirty-eight extensive and carefully edited chapters written by prominent researchers, providing an up-to-date survey of new asymptotic methods in science and technology. The chapters contain broad coverage of the latest developments , Asymptotic Methods in Probability and Statistics with Applications

Asymptotic Methods in Probability and Statistics with Applications

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Asymptotic Methods in Probability and Statistics with Applications, This book represents thirty-eight extensive and carefully edited chapters written by prominent researchers, providing an up-to-date survey of new asymptotic methods in science and technology. The chapters contain broad coverage of the latest developments , Asymptotic Methods in Probability and Statistics with Applications

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