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Selected Topics in Characteristic Functions
  • Language: en
  • Pages: 369

Selected Topics in Characteristic Functions

The series is devoted to the publication of high-level monographs and surveys which cover the whole spectrum of probability and statistics. The books of the series are addressed to both experts and advanced students.

Characteristic Functions and Moment Sequences
  • Language: en
  • Pages: 152

Characteristic Functions and Moment Sequences

This book contains basic information on characteristic functions and moment sequences that is frequently used in probability theory. Characteristic functions and moment sequences are viewed as special cases of positive definite functions. Positive definite functions occur in diverse parts of mathematics, e.g. in operator theory, moment problems, complex function theory, embedding problems, integral equations, and other areas. However, the area of mathematics in which the largest number of people use positive definite functions (some without knowing it) seems to be that of probability theory.

Developments in Characteristic Function Theory
  • Language: en
  • Pages: 200

Developments in Characteristic Function Theory

  • Type: Book
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  • Published: 1983
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  • Publisher: Unknown

None

Characteristic Functions
  • Language: en
  • Pages: 216

Characteristic Functions

  • Type: Book
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  • Published: 1960
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  • Publisher: Unknown

None

Multivariate Characteristic and Correlation Functions
  • Language: en
  • Pages: 376

Multivariate Characteristic and Correlation Functions

In a certain sense characteristic functions and correlation functions are the same, the common underlying concept is positive definiteness. Many results in probability theory, mathematical statistics and stochastic processes can be derived by using these functions. While there are books on characteristic functions of one variable, books devoting some sections to the multivariate case, and books treating the general case of locally compact groups, interestingly there is no book devoted entirely to the multidimensional case which is extremely important for applications. This book is intended to fill this gap at least partially. It makes the basic concepts and results on multivariate characteri...

Characteristic Functions, Scattering Functions and Transfer Functions
  • Language: en
  • Pages: 393

Characteristic Functions, Scattering Functions and Transfer Functions

Transfer functions and characteristic functions proved to be key in operator theory and system theory. Moshe Livic played a major role in developing these functions, and this book of papers dedicated to his memory covers a wide variety of topics in the field.

Applications of Characteristic Functions
  • Language: en
  • Pages: 214

Applications of Characteristic Functions

  • Type: Book
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  • Published: 1964
  • -
  • Publisher: Unknown

None

Fundamentals of Characteristic Functions
  • Language: en
  • Pages: 146

Fundamentals of Characteristic Functions

  • Type: Book
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  • Published: 1969
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  • Publisher: Unknown

None

Advanced Theory of Characteristic Functions
  • Language: en
  • Pages: 232

Advanced Theory of Characteristic Functions

  • Type: Book
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  • Published: 1967
  • -
  • Publisher: Unknown

Background from the theory of functions of real and of complex variables; Fundamentals of distribution functions on the real line and their characteristic functions; Caracteristic functions analytic in a strip; Entire characteristic functions; Factorization theorems concerning the three classical types of laws: the normal poisson and binomialFurther decomposition theorems; Characterization of probability laws through independence of statistics.

Characteristic Functions, Scattering Functions and Transfer Functions
  • Language: en
  • Pages: 392

Characteristic Functions, Scattering Functions and Transfer Functions

  • Type: Book
  • -
  • Published: 2010-11-06
  • -
  • Publisher: Birkhäuser

Transfer functions and characteristic functions proved to be key in operator theory and system theory. Moshe Livic played a major role in developing these functions, and this book of papers dedicated to his memory covers a wide variety of topics in the field.