5 edition of **Topics in statistical information theory** found in the catalog.

Topics in statistical information theory

Solomon Kullback

- 94 Want to read
- 14 Currently reading

Published
**1987** by Springer-Verlag in Berlin, New York .

Written in English

- Stochastic processes.,
- Information theory.,
- Mathematical statistics.

**Edition Notes**

Statement | S. Kullback, J.C. Keegel, J.H. Kullback. |

Series | Lecture notes in statistics ;, 42, Lecture notes in statistics (Springer-Verlag) ;, v. 42. |

Contributions | Keegel, J. C., Kullback, J. H. |

Classifications | |
---|---|

LC Classifications | QA274 .K85 1987 |

The Physical Object | |

Pagination | ix, 158 p. ; |

Number of Pages | 158 |

ID Numbers | |

Open Library | OL2084366M |

ISBN 10 | 0387965122 |

LC Control Number | 88123671 |

Prior to this paper, limited information-theoretic ideas had been developed at Bell Labsall implicitly assuming events of equal probability. Quantities of information[ edit ] Main article: Quantities of information Information theory is based on probability theory and statistics. Stein's Lemma. In Chapter 5 the asymptotic distribution theory of estimates of the information measures is examined. Statistics A Information Theory deals with a basic challenge in communication: How do we transmit information efficiently?

The transpose of a matrix is denoted by a prime; thus one-row matrices are denoted by primes as the transposes of one-column matrices vectors. About this book Introduction The relevance of information theory to statistical theory and its applications to stochastic processes is a unifying influence in these TOPICS. Reprint of the Dover Publications, Inc. Without the contents of this book, most of which came after Shannoninternet, wireless communication, compression, etc could not have been conceived.

What might Statisticians learn from Information Theory? Preface of the book: pdf. As a consequence, discussions of topics such as probability theory required in a general statistics textbook will not be found here. Stein's Lemma.

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However, students should have a knowledge of basic probability theory. However, students should have a knowledge of basic probability theory. We choose the smaller, simpler examples for hand computation. Validity of a description length lower bounds in MDL.

Statistics A Information Theory deals with a basic challenge in communication: How do we transmit information efficiently? Keywords algebra information information theory stochastic processes Authors and affiliations. This book points the environmental and water resources scientist to robust and nonparametric statistics, and to exploratory data analysis.

The author has tried to keep the prerequisites to a minimum.

In Chapter 5 Topics in statistical information theory book asymptotic distribution theory of estimates of the information measures is examined. The book has been developed as a textbook for courses on statistical modeling in quantitative finance in master's level financial mathematics or engineering and computational or mathematical finance programs.

In Chapter 1, the measures of information are introduced and defined. The transpose of a matrix is denoted by a prime; thus one-row matrices are denoted by primes as the transposes of one-column matrices Topics in statistical information theory book.

Linear discriminant functionals are used in the information-theoretic analysis of a variety of stochastic processes. The former quantity is a property of the probability distribution of a random variable and gives a limit on the rate at which data generated by independent samples with the given distribution can be reliably compressed.

The remainder of the book consists of applications. An appendix summarizes the Hilbert space background and the results from the theory of stochastic processes necessary for these sections. The book contains numerous worked examples to help clarify the discussion and provide simple illustrations, while problems at the end of each chapter and in the text provide a means for the reader to expand and apply the theory and to anticipate and develop some of the needed background.

My reason for recommending this book is that, personally thinking, having some knowledge in information theory in data compression and channel capacity would help to resolve limited bandwidth in the era of massive unprecedented astronomical survey projects with satellites or ground base telescopes.

Equations, examples, theorems and lemmas, are numbered serially within each section with a decimal notation. The most commonly practiced ideas in engineering could help accelerating the data processing procedures in astronomy and turning astronomical inference processes more efficient and consistent, which have been neglected because of many other demands.

Quantities of information[ edit ] Main article: Quantities of information Information theory is based on probability theory and statistics.

Some additional recommendation of the book has been made to answer offline inquiries. Yet all topics can be directly applied to many other types of environmental data.

Linear discriminant functionals are used in the information-theoretic analysis of a variety of stochastic processes. Data analysis tools, methods, algorithms, and theories including statistics both exploratory data analysis and inference should follow the direction of retrieving meaningful information from observations.

Among the topics covered are noiseless coding, the discrete memoryless channel, effort correcting codes, information sources, channels with memory, and continuous channels. KL divergence with applications to document clustering via MDS. In addition to historic notes at the end of each chapter indicating the origin of some of the results, the author has also included 60 problems with detailed solutions, making Topics in statistical information theory book book especially valuable for independent study.

Kolmogorov complexity Ambuj and Joel. These codes can be roughly subdivided into data compression source coding and error-correction channel coding techniques.statistical method advanced, is the question Topics in statistical information theory book what every PhD student should tles used in our profession to refer to various topics, with theory comprising many topics that can proﬁtably be considered without motivating examples or the existence of even hypothetical problems, and methods comprising many.

The main topics of the book are: Of the most important tools used in the Advanced Statistical Methods and Applications' Book is data files that the author of several years of research collected.

The relevance of information theory to statistical theory and its applications to stochastic processes is a unifying influence in these TOPICS. The integral representation of discrimination informatio.Note: Citations are based on reference standards.

However, pdf rules can vary widely between applications and fields of interest or study. The specific requirements or preferences of your reviewing publisher, classroom teacher, institution or organization should be applied.Apr 25, · First published by Wiley inthis book is being re-issued with a new Download pdf by the author.

The roots of the book lie in the writings of RA Fisher both as concerns results and the general stance to statistical science, and this stance was the determining factor in the author's selection of topics.relying on single-shot results, Feinstein’s lemma and ebook spectrum methods.

We have added a number of technical re nements and new topics, which correspond to our own interests (e.g., modern aspects of nite blocklength results and applications of information theoretic methods to statistical decision theory and combinatorics).