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Inequalities for Distributions on a Finite Interval
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$135.00
Authors: Neil S. Barnett; Pietro Cerone and Sever S. Dragomir (School of Computer Science & Mathematics, Victoria Univ., Australia 
Book Description:
This book provides a primer in inequalities in applied probability theory & statistics.It is intended to be useful to both graduate students and established researchers working in Probability Theory & Statistics, Analytic Integral Inequalities and their applications in demography, economics, physics, biology and other scientific areas. The book is self-contained in the sense that the reader needs only to be familiar with basic real analysis, integration theory and probability theory. All inequalities used in the text are explicitly stated and appropriately referenced.

Table of Contents:
Preface

Chapter 1 - Ostrowski Type Inequalities for CDFs pp. 1-
1. An Inequality of the Ostrowski Type for CDFs
2. Random Variables whose PDFs Belong to L1 [a, b]
3. Random Variables whose PDFs Belong to Lp [a, b]
4. Better Bounds for an Inequality of the Ostrowski Type

Chapter 2 - Other Ostrowski Type Results and Applications for
PDFs pp. 25-44
1. Ostrowski?s Inequality for Functions of Bounded Variation
2. Inequalities for Absolutely Continuous Functions
3. Ostrowski?s Inequality for Convex Functions
4. A New Ostrowski Type Inequality and Applications
5. Some Inequalities Arising from Montgomery?s Identity

Chapter 3 - Trapezoidal Type Results and Applications for PDFs pp. 75-119
1. The Perturbed Trapezoid Formula and Applications
2. A Perturbed Inequality Using the Third Derivative
3. Bounds in Terms of the Fourth Derivative
4. More Bounds in Terms of the Fourth Derivative
5. A Trapezoid Inequality for Convex Functions
6. Generalizations of the Weighted Trapezoidal Inequality
7. More Generalizations for Monotone Mappings

Chapter 4 - Inequalities for CDFs Via Gr?uss Type Results pp. 119-151
1. Random Variables whose PDFs are Bounded
2. The Case of Absolutely Continuous PDFs
3. Some Elementary Inequalities
4. On an Identity for the ?Ceby?sev Functional

Chapter 5 - Elementary Inequalities for the Variance pp. 153-197
1. Elementary Inequalities
2. Perturbed Inequalities
3. Further Inequalities for Univariate Moments

Chapter 6 - Inequalities for n-Time Di_erentiable PDFs pp. 119-224
1. Random Variable whose PDF is n-Times Di_erentiable
2. Other Inequalities for the Expectation and Variance

References pp. 225-234

Index

   Series:
      Advances in Mathematical Inequalities -Sever S. Dragomir (Victoria Univ. ), Series Editor
   Binding: Hardcover
   Pub. Date: 2008
   ISBN: 1-60021-909-8
   Status: AV
  
Status Code Description
AN Announcing
FM Formatting
PP Page Proofs
FP Final Production
EP Editorial Production
PR At Prepress
AP At Press
AV Available
  
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Inequalities for Distributions on a Finite Interval