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Limit Theory For Mixing Dependent Random Variables Book

Limit Theory For Mixing Dependent Random Variables
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  • Limit Theory For Mixing Dependent Random Variables
  • Written by author Cheng-Yen Lin
  • Published by Springer-Verlag New York, LLC, July 1997
  • For many practical problems, observations are not independent. In this book, limit behaviour of an important kind of dependent random variables, the so-called mixing random variables, is studied. Many profound results are given, which cover recent develop
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Preface
Ch. 1Definitions and Basic Inequalities3
Ch. 2Moment Estimations of Partial Sums15
Ch. 3Weak Convergence for [alpha]-mixing Sequences41
Ch. 4Weak Convergence for [rho]-mixing Sequences71
Ch. 5Weak Convergence of [actual symbol not reproducible] Sequences123
Ch. 6Weak Convergence for Mixing Random Fields141
Ch. 7The Berry-Esseen Inequality and the Rate of Weak Convergence169
Ch. 8Laws of Large Numbers and Complete Convergence191
Ch. 9Strong Approximations241
Ch. 10The Increments of Partial Sums269
Ch. 11Strong Approximations for Mixing Random Fields287
Ch. 12Empirical Processes311
Ch. 13Convergence of Some Statistics with a Mixing Sample347
Ch. 14Strong Approximations for Other Kinds of Dependent Random Variables379
Appendix406
References409
Index425


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