Selected Works of C.C. Heyde

Selected Works of C.C. Heyde PDF Author: Ross Maller
Publisher: Springer Science & Business Media
ISBN: 1441958231
Category : Mathematics
Languages : en
Pages : 490

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Book Description
In 1945, very early in the history of the development of a rigorous analytical theory of probability, Feller (1945) wrote a paper called “The fundamental limit theorems in probability” in which he set out what he considered to be “the two most important limit theorems in the modern theory of probability: the central limit theorem and the recently discovered ... ‘Kolmogoroff’s cel ebrated law of the iterated logarithm’ ”. A little later in the article he added to these, via a charming description, the “little brother (of the central limit theo rem), the weak law of large numbers”, and also the strong law of large num bers, which he considers as a close relative of the law of the iterated logarithm. Feller might well have added to these also the beautiful and highly applicable results of renewal theory, which at the time he himself together with eminent colleagues were vigorously producing. Feller’s introductory remarks include the visionary: “The history of probability shows that our problems must be treated in their greatest generality: only in this way can we hope to discover the most natural tools and to open channels for new progress. This remark leads naturally to that characteristic of our theory which makes it attractive beyond its importance for various applications: a combination of an amazing generality with algebraic precision.

Selected Works of C.C. Heyde

Selected Works of C.C. Heyde PDF Author: Ross Maller
Publisher: Springer Science & Business Media
ISBN: 1441958231
Category : Mathematics
Languages : en
Pages : 490

Get Book Here

Book Description
In 1945, very early in the history of the development of a rigorous analytical theory of probability, Feller (1945) wrote a paper called “The fundamental limit theorems in probability” in which he set out what he considered to be “the two most important limit theorems in the modern theory of probability: the central limit theorem and the recently discovered ... ‘Kolmogoroff’s cel ebrated law of the iterated logarithm’ ”. A little later in the article he added to these, via a charming description, the “little brother (of the central limit theo rem), the weak law of large numbers”, and also the strong law of large num bers, which he considers as a close relative of the law of the iterated logarithm. Feller might well have added to these also the beautiful and highly applicable results of renewal theory, which at the time he himself together with eminent colleagues were vigorously producing. Feller’s introductory remarks include the visionary: “The history of probability shows that our problems must be treated in their greatest generality: only in this way can we hope to discover the most natural tools and to open channels for new progress. This remark leads naturally to that characteristic of our theory which makes it attractive beyond its importance for various applications: a combination of an amazing generality with algebraic precision.

Latent Variable Models and Factor Analysis

Latent Variable Models and Factor Analysis PDF Author: David J. Bartholomew
Publisher: John Wiley & Sons
ISBN: 1119973708
Category : Mathematics
Languages : en
Pages : 241

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Book Description
Latent Variable Models and Factor Analysis provides a comprehensive and unified approach to factor analysis and latent variable modeling from a statistical perspective. This book presents a general framework to enable the derivation of the commonly used models, along with updated numerical examples. Nature and interpretation of a latent variable is also introduced along with related techniques for investigating dependency. This book: Provides a unified approach showing how such apparently diverse methods as Latent Class Analysis and Factor Analysis are actually members of the same family. Presents new material on ordered manifest variables, MCMC methods, non-linear models as well as a new chapter on related techniques for investigating dependency. Includes new sections on structural equation models (SEM) and Markov Chain Monte Carlo methods for parameter estimation, along with new illustrative examples. Looks at recent developments on goodness-of-fit test statistics and on non-linear models and models with mixed latent variables, both categorical and continuous. No prior acquaintance with latent variable modelling is pre-supposed but a broad understanding of statistical theory will make it easier to see the approach in its proper perspective. Applied statisticians, psychometricians, medical statisticians, biostatisticians, economists and social science researchers will benefit from this book.

CSIRO Index

CSIRO Index PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 634

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The Mathematical Scientist

The Mathematical Scientist PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 304

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CSIRO Index

CSIRO Index PDF Author: Commonwealth Scientific and Industrial Research Organization (Australia)
Publisher:
ISBN:
Category : Research
Languages : en
Pages : 632

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Australian Science Index

Australian Science Index PDF Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 792

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Metals Abstracts

Metals Abstracts PDF Author:
Publisher:
ISBN:
Category : Metallurgy
Languages : en
Pages : 732

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Statistical Society of Australia Newsletter

Statistical Society of Australia Newsletter PDF Author:
Publisher:
ISBN:
Category : Australia
Languages : en
Pages : 312

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Integrated Soil and Sediment Research: A Basis for Proper Protection

Integrated Soil and Sediment Research: A Basis for Proper Protection PDF Author: Herman J.P. Eijsackers
Publisher: Springer Science & Business Media
ISBN: 9401120080
Category : Science
Languages : en
Pages : 810

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Book Description
Increasing awareness of the irreversible and long-lasting impacts of deterioration and pollution of soils and sediments has had an important influence on environmental policies and research in the last decade. The complexity of the soil and sediment systems and its processes cannot be tackled properly unless scientists from different disciplines work together. With this in mind, a number of multidisciplinary soil research programmes have been started in various European countries. They involve different disciplinary approaches and they aim at different fields of application: agriculture, land use and town and country planning, drinking water supply, nature management. The results that are now appearing need to be integrated in a scientifically sound and useful way. The first European Conference on Integrated Research for Soil and Sediment Protection and Remediation was intended to foster this. The volume contains the edited and selected proceedings of this Conference.

Annual Report

Annual Report PDF Author: Rothamsted Experimental Station
Publisher:
ISBN:
Category : Agriculture
Languages : en
Pages : 534

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Book Description