Universal Coding and Order Identification by Model Selection Methods (Springer Monographs in Mathematics) - Image 1

£80.20

It has never been this cheap. We have no record of a lower price.

£80 today · cheaper than every other day in the last 3 months

Springer Universal Coding and Order Identification by Model Selection Methods (Springer Monographs in Mathematics)

Name: Universal Coding and Order Identification by Model Selection Methods (Springer Monographs in Mathematics)
Brand: Springer
Price: 80.2 GBP
Availability: InStock

Architecture & Microprocessors

Price Distribution

Price distribution over 61 days • 1 price levels

Days at Price

Price Analysis

Most common price: £80 (61 days, 100.0%)

Price range: £80 - £80

Price levels: 1 different prices over 61 days

Description

The purpose of these notes is to highlight the far-reaching connections between Information Theory and Statistics. Universal coding and adaptive compression are indeed closely related to statistical inference concerning processes and using maximum likelihood or Bayesian methods. The book is divided into four chapters, the first of which introduces readers to lossless coding, provides an intrinsic lower bound on the codeword length in terms of Shannon’s entropy, and presents some coding methods that can achieve this lower bound, provided the source distribution is known. In turn, Chapter 2 addresses universal coding on finite alphabets, and seeks to find coding procedures that can achieve the optimal compression rate, regardless of the source distribution. It also quantifies the speed of convergence of the compression rate to the source entropy rate. These powerful results do not extend to infinite alphabets. In Chapter 3, it is shown that there are no universal codes over the class of stationary ergodic sources over a countable alphabet. This negative result prompts at least two different approaches: the introduction of smaller sub-classes of sources known as envelope classes, over which adaptive coding may be feasible, and the redefinition of the performance criterion by focusing on compressing the message pattern. Finally, Chapter 4 deals with the question of order identification in statistics. This question belongs to the class of model selection problems and arises in various practical situations in which the goal is to identify an integer characterizing the model: the length of dependency for a Markov chain, number of hidden states for a hidden Markov chain, and number of populations for a population mixture. The coding ideas and techniques developed in previous chapters allow us to obtain new results in this area. This book is accessible to anyone with a graduate level in Mathematics, and will appeal to information theoreticians and mathematical statisticians alike. Except for Chapter 4, all proofs are detailed and all tools needed to understand the text are reviewed.

Product Specifications

Brand: Springer
Format: hardcover
ASIN: 3319962612
Category: Books > Subjects > Computing & Internet > Computer Science > Architecture & Microprocessors
Domain: Amazon UK
Release Date: 09 August 2018
Listed Since: 13 June 2018

Barcode

No barcode data available

It has never been this cheap. We have no record of a lower price.

Springer Universal Coding and Order Identification by Model Selection Methods (Springer Monographs in Mathematics)

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Universal Coding and Order Identification by Model Selection Methods (Springer Monographs in Mathematics)

Probabilistic Methods and Distributed Information: Rudolf Ahlswede’s Lectures on Information Theory 5: 15 (Foundations in Signal Processing, Communications and Networking, 15)

Foundations of Coding: Compression, Encryption, Error Correction

Intelligent Sensing and Communications for Internet of Everything

Information and Communication Theory (IEEE Series on Digital & Mobile Communication)

Digital Communication: Principles and System Modelling (Signals and Communication Technology)

Algebraic and Stochastic Coding Theory

Redundancy of Lossless Data Compression for Known Sources by Analytic Methods (Foundations and Trends in Communications and Information Theory)

Non-Gaussian Statistical Communication Theory (IEEE Series on Digital & Mobile Communication)

Multimedia Signals and Systems: Basic and Advanced Algorithms for Signal Processing

Information and Coding Theory in Computer Science

Fundamentals of Convolutional Coding - IEEE Series

Probability and Random Processes: With Applications to Signal Processing and Communications

Selected Works I: Mathematics and Mechanics: 25 (Springer Collected Works in Mathematics)

Performance Limits in Communication Theory and Practice: 142 (NATO Science Series E:, 142)

Bandwidth Efficient Coding (IEEE Series on Digital & Mobile Communication)

Coding Theory: Algorithms, Architectures and Applications

Advances in Intelligent Information Hiding and Multimedia Signal Processing: Proceedings of the Thirteenth International Conference on Intelligent ... Innovation, Systems and Technologies, 82)

Physical and Data-Link Security Techniques for Future Communication Systems: 358 (Lecture Notes in Electrical Engineering, 358)

Wiley Communication Systems Techniques - Graduate Level Text

Digital Transmission Engineering: 12 (IEEE Series on Digital & Mobile Communication)

Dynamics of Information Systems: Algorithmic Approaches - Springer

Fundamentals in Information Theory and Coding

Algorithmic Information Theory: Mathematics of Digital Information Processing (Signals and Communication Technology)

It has never been this cheap. We have no record of a lower price.

Springer Universal Coding and Order Identification by Model Selection Methods (Springer Monographs in Mathematics)

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Universal Coding and Order Identification by Model Selection Methods (Springer Monographs in Mathematics)

Probabilistic Methods and Distributed Information: Rudolf Ahlswede’s Lectures on Information Theory 5: 15 (Foundations in Signal Processing, Communications and Networking, 15)

Foundations of Coding: Compression, Encryption, Error Correction

Intelligent Sensing and Communications for Internet of Everything

Information and Communication Theory (IEEE Series on Digital & Mobile Communication)

Digital Communication: Principles and System Modelling (Signals and Communication Technology)

Algebraic and Stochastic Coding Theory

Redundancy of Lossless Data Compression for Known Sources by Analytic Methods (Foundations and Trends in Communications and Information Theory)

Non-Gaussian Statistical Communication Theory (IEEE Series on Digital & Mobile Communication)

Multimedia Signals and Systems: Basic and Advanced Algorithms for Signal Processing

Information and Coding Theory in Computer Science

Fundamentals of Convolutional Coding - IEEE Series

Probability and Random Processes: With Applications to Signal Processing and Communications

Selected Works I: Mathematics and Mechanics: 25 (Springer Collected Works in Mathematics)

Performance Limits in Communication Theory and Practice: 142 (NATO Science Series E:, 142)

Bandwidth Efficient Coding (IEEE Series on Digital & Mobile Communication)

Coding Theory: Algorithms, Architectures and Applications

Advances in Intelligent Information Hiding and Multimedia Signal Processing: Proceedings of the Thirteenth International Conference on Intelligent ... Innovation, Systems and Technologies, 82)

Physical and Data-Link Security Techniques for Future Communication Systems: 358 (Lecture Notes in Electrical Engineering, 358)

Wiley Communication Systems Techniques - Graduate Level Text

Digital Transmission Engineering: 12 (IEEE Series on Digital & Mobile Communication)

Dynamics of Information Systems: Algorithmic Approaches - Springer

Fundamentals in Information Theory and Coding

Algorithmic Information Theory: Mathematics of Digital Information Processing (Signals and Communication Technology)