Distribution Theory For Tests Based On The Sample Distribution Function

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Distribution Theory for Tests Based on the Sample Distribution Function

Author : J. Durbin
Publisher : SIAM
Page : 70 pages
File Size : 49,8 Mb
Release : 1973-01-01
Category : Mathematics
ISBN : 161197058X

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Distribution Theory for Tests Based on the Sample Distribution Function by J. Durbin Pdf

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.

Distribution Theory

Author : Robert A. Barks
Publisher : Unknown
Page : 224 pages
File Size : 41,8 Mb
Release : 1972
Category : Mathematics
ISBN : CORNELL:31924001640576

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Distribution Theory by Robert A. Barks Pdf

Lattice Path Counting and Applications

Author : Gopal Mohanty
Publisher : Academic Press
Page : 200 pages
File Size : 40,8 Mb
Release : 2014-07-10
Category : Mathematics
ISBN : 9781483218809

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Lattice Path Counting and Applications by Gopal Mohanty Pdf

Probability and Mathematical Statistics: A Series of Monographs and Textbooks: Lattice Path Counting and Applications focuses on the principles, methodologies, and approaches involved in lattice path counting and applications, including vector representation, random walks, and rank order statistics. The book first underscores the simple and general boundaries of path counting. Topics include types of diagonal steps and a correspondence, paths within general boundaries, higher dimensional paths, vector representation, compositions, and domination, recurrence and generating function method, and reflection principle. The text then examines invariance and fluctuation and random walk and rank order statistics. Discussions focus on random walks, rank order statistics, Chung-Feller theorems, and Sparre Andersen's equivalence. The manuscript takes a look at convolution identities and inverse relations and discrete distributions, queues, trees, and search codes, as well as discrete distributions and a correlated random walk, trees and search codes, convolution identities, and orthogonal relations and inversion formulas. The text is a valuable reference for mathematicians and researchers interested in in lattice path counting and applications.

Statistical Distributions in Scientific Work

Author : Charles Taillie,Ganapati P. Patil,Bruno A. Baldessari
Publisher : Springer Science & Business Media
Page : 450 pages
File Size : 49,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789400985520

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Statistical Distributions in Scientific Work by Charles Taillie,Ganapati P. Patil,Bruno A. Baldessari Pdf

Proceedings of the NATO Advanced Study Institute, Trieste, Italy, July 10-August 1, 1980

Empirical Distributions and Processes

Author : P. Gänssler,P. Revesz
Publisher : Springer
Page : 156 pages
File Size : 49,8 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540375159

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Empirical Distributions and Processes by P. Gänssler,P. Revesz Pdf

Strong Approximations in Probability and Statistics

Author : M. Csörgo,P. Révész
Publisher : Academic Press
Page : 287 pages
File Size : 50,8 Mb
Release : 2014-07-10
Category : Mathematics
ISBN : 9781483268040

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Strong Approximations in Probability and Statistics by M. Csörgo,P. Révész Pdf

Strong Approximations in Probability and Statistics presents strong invariance type results for partial sums and empirical processes of independent and identically distributed random variables (IIDRV). This seven-chapter text emphasizes the applicability of strong approximation methodology to a variety of problems of probability and statistics. Chapter 1 evaluates the theorems for Wiener and Gaussian processes that can be extended to partial sums and empirical processes of IIDRV through strong approximation methods, while Chapter 2 addresses the problem of best possible strong approximations of partial sums of IIDRV by a Wiener process. Chapters 3 and 4 contain theorems concerning the one-time parameter Wiener process and strong approximation for the empirical and quantile processes based on IIDRV. Chapter 5 demonstrate the validity of previously discussed theorems, including Brownian bridges and Kiefer process, for empirical and quantile processes. Chapter 6 illustrate the approximation of defined sequences of empirical density, regression, and characteristic functions by appropriate Gaussian processes. Chapter 7 deal with the application of strong approximation methodology to study weak and strong convergence properties of random size partial sum and empirical processes. This book will prove useful to mathematicians and advance mathematics students.

Statistical Models and Methods for Reliability and Survival Analysis

Author : Vincent Couallier,Léo Gerville-Réache,Catherine Huber-Carol,Nikolaos Limnios,Mounir Mesbah
Publisher : John Wiley & Sons
Page : 437 pages
File Size : 45,8 Mb
Release : 2013-12-31
Category : Mathematics
ISBN : 9781848216198

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Statistical Models and Methods for Reliability and Survival Analysis by Vincent Couallier,Léo Gerville-Réache,Catherine Huber-Carol,Nikolaos Limnios,Mounir Mesbah Pdf

Statistical Models and Methods for Reliability and Survival Analysis brings together contributions by specialists in statistical theory as they discuss their applications providing up-to-date developments in methods used in survival analysis, statistical goodness of fit, stochastic processes for system reliability, amongst others. Many of these are related to the work of Professor M. Nikulin in statistics over the past 30 years. The authors gather together various contributions with a broad array of techniques and results, divided into three parts - Statistical Models and Methods, Statistical Models and Methods in Survival Analysis, and Reliability and Maintenance. The book is intended for researchers interested in statistical methodology and models useful in survival analysis, system reliability and statistical testing for censored and non-censored data.

Quantile Processes with Statistical Applications

Author : Miklos Csorgo
Publisher : SIAM
Page : 164 pages
File Size : 43,6 Mb
Release : 1983-01-31
Category : Mathematics
ISBN : 9780898711851

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Quantile Processes with Statistical Applications by Miklos Csorgo Pdf

Provides a comprehensive theory of the approximations of quantile processes as well as some of their statistical applications.

The Inverse Gaussian Distribution

Author : Raj Chhikara
Publisher : CRC Press
Page : 232 pages
File Size : 43,8 Mb
Release : 1988-09-29
Category : Mathematics
ISBN : 0824779975

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The Inverse Gaussian Distribution by Raj Chhikara Pdf

This monograph is a compilation of research on the inverse Gaussian distribution. It emphasizes the presentation of the statistical properties, methods, and applications of the two-parameter inverse Gaussian family of distribution. It is useful to statisticians and users of statistical distribution.

NBS Special Publication

Author : Anonim
Publisher : Unknown
Page : 574 pages
File Size : 44,6 Mb
Release : 1970
Category : Weights and measures
ISBN : UOM:39015023124111

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NBS Special Publication by Anonim Pdf

Selected Works of A. N. Kolmogorov

Author : A.N. Shiryayev
Publisher : Springer Science & Business Media
Page : 618 pages
File Size : 48,7 Mb
Release : 1992-02-29
Category : Mathematics
ISBN : 9789027727978

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Selected Works of A. N. Kolmogorov by A.N. Shiryayev Pdf

The creative work of Andrei N. Kolmogorov is exceptionally wide-ranging. In his studies on trigonometric and orthogonal series, the theory of measure and integral, mathematical logic, approximation theory, geometry, topology, functional analysis, classical mechanics, ergodic theory, superposition of functions, and in formation theory, he solved many conceptual and fundamental problems and posed new questions which gave rise to a great deal of further research. Kolmogorov is one of the founders of the Soviet school of probability theory, mathematical statistics, and the theory of turbulence. In these areas he obtained a number of central results, with many applications to mechanics, geophysics, linguistics and biology, among other subjects. This edition includes Kolmogorov's most important papers on mathematics and the natural sciences. It does not include his philosophical and pedagogical studies, his articles written for the "Bolshaya Sovetskaya Entsiklopediya", his papers on prosody and applications of mathematics or his publications on general questions. The material of this edition was selected and compiled by Kolmogorov himself. The first volume consists of papers on mathematics and also on turbulence and classical mechanics. The second volume is devoted to probability theory and mathematical statistics. The focus of the third volume is on information theory and the theory of algorithms.

Encyclopaedia of Mathematics

Author : M. Hazewinkel
Publisher : Springer
Page : 932 pages
File Size : 51,5 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781489937919

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Encyclopaedia of Mathematics by M. Hazewinkel Pdf

Seminar on Empirical Processes

Author : P. Gaenssler,Stute
Publisher : Birkhäuser
Page : 117 pages
File Size : 50,9 Mb
Release : 2013-11-21
Category : Science
ISBN : 9783034862691

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Seminar on Empirical Processes by P. Gaenssler,Stute Pdf