Elements Of Distribution Theory


Elements Of Distribution Theory
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Elements Of Distribution Theory


Elements Of Distribution Theory
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Author : Thomas A. Severini
language : en
Publisher: Cambridge University Press
Release Date : 2005-08-08

Elements Of Distribution Theory written by Thomas A. Severini and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-08-08 with Mathematics categories.


This detailed introduction to distribution theory uses no measure theory, making it suitable for students in statistics and econometrics as well as for researchers who use statistical methods. Good backgrounds in calculus and linear algebra are important and a course in elementary mathematical analysis is useful, but not required. An appendix gives a detailed summary of the mathematical definitions and results that are used in the book. Topics covered range from the basic distribution and density functions, expectation, conditioning, characteristic functions, cumulants, convergence in distribution and the central limit theorem to more advanced concepts such as exchangeability, models with a group structure, asymptotic approximations to integrals, orthogonal polynomials and saddlepoint approximations. The emphasis is on topics useful in understanding statistical methodology; thus, parametric statistical models and the distribution theory associated with the normal distribution are covered comprehensively.



Distribution Theory And Transform Analysis


Distribution Theory And Transform Analysis
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Author : A.H. Zemanian
language : en
Publisher: Courier Corporation
Release Date : 2011-11-30

Distribution Theory And Transform Analysis written by A.H. Zemanian and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-30 with Mathematics categories.


Distribution theory, a relatively recent mathematical approach to classical Fourier analysis, not only opened up new areas of research but also helped promote the development of such mathematical disciplines as ordinary and partial differential equations, operational calculus, transformation theory, and functional analysis. This text was one of the first to give a clear explanation of distribution theory; it combines the theory effectively with extensive practical applications to science and engineering problems. Based on a graduate course given at the State University of New York at Stony Brook, this book has two objectives: to provide a comparatively elementary introduction to distribution theory and to describe the generalized Fourier and Laplace transformations and their applications to integrodifferential equations, difference equations, and passive systems. After an introductory chapter defining distributions and the operations that apply to them, Chapter 2 considers the calculus of distributions, especially limits, differentiation, integrations, and the interchange of limiting processes. Some deeper properties of distributions, such as their local character as derivatives of continuous functions, are given in Chapter 3. Chapter 4 introduces the distributions of slow growth, which arise naturally in the generalization of the Fourier transformation. Chapters 5 and 6 cover the convolution process and its use in representing differential and difference equations. The distributional Fourier and Laplace transformations are developed in Chapters 7 and 8, and the latter transformation is applied in Chapter 9 to obtain an operational calculus for the solution of differential and difference equations of the initial-condition type. Some of the previous theory is applied in Chapter 10 to a discussion of the fundamental properties of certain physical systems, while Chapter 11 ends the book with a consideration of periodic distributions. Suitable for a graduate course for engineering and science students or for a senior-level undergraduate course for mathematics majors, this book presumes a knowledge of advanced calculus and the standard theorems on the interchange of limit processes. A broad spectrum of problems has been included to satisfy the diverse needs of various types of students.



Elements Of Probability Theory


Elements Of Probability Theory
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Author : L. Z. Rumshiskii
language : en
Publisher: Elsevier
Release Date : 2016-06-06

Elements Of Probability Theory written by L. Z. Rumshiskii and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-06 with Mathematics categories.


Elements of Probability Theory focuses on the basic ideas and methods of the theory of probability. The book first discusses events and probabilities, including the classical meaning of probability, fundamental properties of probabilities, and the primary rule for the multiplication of probabilities. The text also touches on random variables and probability distributions. Topics include discrete and random variables; functions of random variables; and binomial distributions. The selection also discusses the numerical characteristics of probability distributions; limit theorems and estimates of the mean; and the law of large numbers. The text also describes linear correlation, including conditional expectations and their properties, coefficient of correlation, and best linear approximation to the regression function. The book presents tables that show the values of the normal probability integral, Poisson distribution, and values of the normal probability density. The text is a good source of data for readers and students interested in probability theory.



Sorting


Sorting
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Author : Hosam M. Mahmoud
language : en
Publisher: John Wiley & Sons
Release Date : 2000-08-14

Sorting written by Hosam M. Mahmoud and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-08-14 with Mathematics categories.


In diesem Buch wurden Informationen zusammengetragen, die bislang nur Spezialisten zugänglich waren. Dem Autor ist es gelungen, aktuellste Forschungsergebnisse auf dem Gebiet des Sortierens so auszuwählen und aufzubereiten, daß auch Studenten und fachfremde Interessenten profitieren können. Nach einleitenden Bemerkungen werden sämtliche Standard-Sortieralgorithmen - klassische und moderne Ansätze - vorgestellt sowie in Worten und an Codebeispielen erläutert. (09/00)



The Elements Of Probability Theory And Some Of Its Applications


The Elements Of Probability Theory And Some Of Its Applications
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Author : Harald Cramér
language : en
Publisher: Krieger Publishing Company
Release Date : 1973

The Elements Of Probability Theory And Some Of Its Applications written by Harald Cramér and has been published by Krieger Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Probabilities categories.




Distribution Theory And Applications


Distribution Theory And Applications
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Author : Abdellah El Kinani
language : en
Publisher: World Scientific
Release Date : 2010

Distribution Theory And Applications written by Abdellah El Kinani and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.


The general frame for the resolution of PDEs is the theory of kernels ù the first elements of which are sufficient to show the practicality of distribution theory in applications. --



The Theory Of Distributions


The Theory Of Distributions
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Author : J. Ian Richards
language : en
Publisher: CUP Archive
Release Date : 1995-09-29

The Theory Of Distributions written by J. Ian Richards and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-09-29 with Mathematics categories.


A self-contained mathematical introduction that concentrates on the essential results important to non-specialists.



Distribution Models Theory


Distribution Models Theory
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Author : Rafael Herrerias-pleguezuelo
language : en
Publisher: World Scientific
Release Date : 2006-08-30

Distribution Models Theory written by Rafael Herrerias-pleguezuelo and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-30 with Business & Economics categories.


Distribution Models Theory is a revised edition of papers specially selected by the Scientific Committee for the Fifth Workshop of Spanish Scientific Association of Applied Economy on Distribution Models Theory held in Granada (Spain) in September 2005. The contributions offer a must-have point of reference on models theory.This book has been selected for coverage in:• Index to Scientific & Technical Proceedings® (ISTP®/ISI Proceedings)• Index to Scientific & Technical Proceedings (ISTP CDROM version/ISI Proceedings)



Distribution Theory For Tests Based On The Sample Distribution Function


Distribution Theory For Tests Based On The Sample Distribution Function
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Author : J. Durbin
language : en
Publisher: SIAM
Release Date : 1973-01-01

Distribution Theory For Tests Based On The Sample Distribution Function written by J. Durbin and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973-01-01 with Mathematics categories.


Presents a coherent body of theory for the derivation of the sampling distributions of a wide range of test statistics. Emphasis is on the development of practical techniques. A unified treatment of the theory was attempted, e.g., the author sought to relate the derivations for tests on the circle and the two-sample problem to the basic theory for the one-sample problem on the line. The Markovian nature of the sample distribution function is stressed, as it accounts for the elegance of many of the results achieved, as well as the close relation with parts of the theory of stochastic processes.



Elements Of Probability Theory


Elements Of Probability Theory
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Author : L. Z. Rumshiskii
language : en
Publisher: Pergamon
Release Date : 1965-12

Elements Of Probability Theory written by L. Z. Rumshiskii and has been published by Pergamon this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965-12 with categories.