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Associated sequences, demimartingales and nonparametric inference

By: Material type: TextTextLanguage: English Series: Probability and its applicationsPublication details: New York Birkhaüser 2012Description: xi, 272pISBN:
  • 9783034802390 (HB)
Subject(s):
Contents:
1. Associated Random Variables and Related Concepts 2. Demimartingales 3. N -Demimartingales 4. Conditional Demimartingales 5. Multidimensionally Indexed Demimartingales and Continuous Parameter Demimartingales 6. Limit Theorems for Associated Random Variables 7. Nonparametric Estimation for Associated Sequences 8. Nonparametric Tests for Associated Sequences 9. Nonparametric Tests for Change in Marginal Density Function for Associated Sequences
Summary: This book gives a comprehensive review of results for associated sequences and demimartingales developed so far, with special emphasis on demimartingales and related processes. Probabilistic properties of associated sequences, demimartingales and related processes are discussed in the first six chapters. Applications of some of these results to some problems in nonparametric statistical inference for such processes are investigated in the last three chapters.
Item type: BOOKS
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Home library Call number Materials specified Status Date due Barcode
IMSc Library 519.23 PRA (Browse shelf(Opens below)) Available 67150

Includes index

Includes bibliography (p. 253-270) and references.

1. Associated Random Variables and Related Concepts
2. Demimartingales
3. N -Demimartingales
4. Conditional Demimartingales
5. Multidimensionally Indexed Demimartingales and Continuous Parameter Demimartingales
6. Limit Theorems for Associated Random Variables
7. Nonparametric Estimation for Associated Sequences
8. Nonparametric Tests for Associated Sequences
9. Nonparametric Tests for Change in Marginal Density Function for Associated Sequences

This book gives a comprehensive review of results for associated sequences and demimartingales developed so far, with special emphasis on demimartingales and related processes. Probabilistic properties of associated sequences, demimartingales and related processes are discussed in the first six chapters. Applications of some of these results to some problems in nonparametric statistical inference for such processes are investigated in the last three chapters.

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The Institute of Mathematical Sciences, Chennai, India