Foundations of Quantization for Probability Distributions : Lecture Notes in Mathematics - Siegfried Graf

Instant online reading.
Don't wait for delivery!
Go digital and save!

Foundations of Quantization for Probability Distributions

By: Siegfried Graf, Harald Luschgy

Write A Review

Hardcover | 1 June 2000

At a Glance

Hardcover
244 Pages

Dimensions(cm)
23.5 x 15.88 x 1.27

Hardcover

$89.99

or 4 interest-free payments of $22.50 with

or

Ships in 5 to 7 business days

Due to the rapidly increasing need for methods of data compression, quantization has become a flourishing field in signal and image processing and information theory. The same techniques are also used in statistics (cluster analysis), pattern recognition, and operations research (optimal location of service centers). The book gives the first mathematically rigorous account of the fundamental theory underlying these applications. The emphasis is on the asymptotics of quantization errors for absolutely continuous and special classes of singular probabilities (surface measures, self-similar measures) presenting some new results for the first time. Written for researchers and graduate students in probability theory the monograph is of potential interest to all people working in the disciplines mentioned above.

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $79.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

More in Probability & Statistics

The Maths Book

Big Ideas Simply Explained

Hardcover

RRP $42.99

$32.99

23%
OFF

The Art of Uncertainty

How to Navigate Chance, Ignorance, Risk and Luck

Hardcover

RRP $55.00

$41.75

24%
OFF

Fooled By Randomness

The Hidden Role of Chance in Life and in the Markets

Paperback

RRP $26.99

$22.99

15%
OFF

The Equation of Knowledge : From Bayes' Rule to a Unified Philosophy of Science - Lê Nguyên Hoang

$22.99

15%
OFF

Sampling Theory and Practice - Casey Murphy

$29.75

20%
OFF

Introduction to Medical Statistics

4th edition

Paperback

RRP $70.95

$62.75

12%
OFF

Psychology Statistics For Dummies

For Dummies

Paperback

RRP $49.95

$38.75

22%
OFF

Everything Is Predictable

How Bayes' Remarkable Theorem Explains the World

Paperback

RRP $24.99

$21.75

13%
OFF

Hands-On Programming with R

Write Your Own Functions and Simulations

Paperback

RRP $76.00

$39.75

48%
OFF

On the Edge

The Art of Risking Everything

Paperback

RRP $36.99

$29.75

20%
OFF

Naked Statistics

Stripping the Dread from the Data

Paperback

RRP $29.95

$22.75

24%
OFF

Statistics without Tears

An Introduction for Non-Mathematicians

Paperback

RRP $26.99

$20.75

23%
OFF

Statistical Rethinking

2nd Edition - A Bayesian Course with Examples in R and STAN

Hardcover

RRP $229.75

$221.99

List of Figures
List of Tables
Introduction	p. 1
General properties of the quantization for probability distributions	p. 7
Voronoi partitions	p. 7
Centers and moments of probability distributions	p. 20
The quantization problem	p. 30
Basic Properties of optimal quantizers	p. 37
Uniqueness and optimality in one dimension	p. 64
Asymptotic quantization for nonsingular probability distributions	p. 77
Asymptotics for the quantization error	p. 77
Asymptotically optimal quantizes	p. 93
Regular quantizers and quantization coefficients	p. 106
Random quantizers and quantization coefficients	p. 127
Asymptotics for the covering radius	p. 137
Asymptotic quantization for singular probability distributions	p. 155
The quantization dimension	p. 155
Regular sets and measures of dimension D	p. 165
Rectifiable curves	p. 180
Self-similar sets and measures	p. 190
Appendix: Univariate distributions	p. 209
Bibliography	p. 215
Symbols	p. 225
Index	p. 229
Table of Contents provided by Blackwell. All Rights Reserved.

Foundations of Quantization for Probability Distributions

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Probability & Statistics

The Maths Book

Big Ideas Simply Explained

The Art of Uncertainty

How to Navigate Chance, Ignorance, Risk and Luck

Fooled By Randomness

The Hidden Role of Chance in Life and in the Markets

The Equation of Knowledge

From Bayes' Rule to a Unified Philosophy of Science

Guide to Multiple Regression

The Art of Statistics

Learning from Data

Sampling Theory and Practice

Probability and Statistics for Science and Engineering

Practical Statistics

New Perspectives in Statistical Modeling

Mathematical and Statistical Methods for Actuarial Sciences

Mathematical and Statistical Methods for Actuarial Sciences

Applied Multivariate Statistical Analysis

Foundations of Statistics

Data Assimilation

Methods, Modeling and Applications

Speed

How it Explains the World

Introduction to Medical Statistics

4th edition

Psychology Statistics For Dummies

For Dummies

Everything Is Predictable

How Bayes' Remarkable Theorem Explains the World

Hands-On Programming with R

Write Your Own Functions and Simulations

On the Edge

The Art of Risking Everything

Naked Statistics

Stripping the Dread from the Data

Statistics without Tears

An Introduction for Non-Mathematicians

Statistical Rethinking

2nd Edition - A Bayesian Course with Examples in R and STAN

This product is categorised by