Statistical Problems with Nuisance Parameters PDF Download

Author: Ju V. Linnik
Publisher: American Mathematical Soc.
ISBN: 9780821886519
Category : Mathematics
Languages : en
Pages : 272

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Book Description
Introduction The multiple Laplace transformation, functions of several complex variables, and analytic sheaves Sufficient statistics and exponential families Nuisance parameters. Tests with invariant power functions Similar tests and statistics Cotest ideals for exponential families Wijsman's $D$-method Unbiased estimates Analytical methods of studying unrandomized tests. Application to the Behrens-Fisher problem Randomized homogeneous tests in the Behrens-Fisher problem. Characterization of tests of the Bartlett-Scheffe type An unrandomized homogeneous similar test in the Behrens-Fisher problem The problem of many small samples Appendix Supplement. New results in the theory of estimation and testing hypotheses for problems with nuisance parameters Bibliography

Author: D.L. McLeish
Publisher: Springer Science & Business Media
ISBN: 1461238722
Category : Mathematics
Languages : en
Pages : 131

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Book Description
This monograph arose out of a desire to develop an approach to statistical infer ence that would be both comprehensive in its treatment of statistical principles and sufficiently powerful to be applicable to a variety of important practical problems. In the latter category, the problems of inference for stochastic processes (which arise com monly in engineering and biological applications) come to mind. Classes of estimating functions seem to be promising in this respect. The monograph examines some of the consequences of extending standard concepts of ancillarity, sufficiency and complete ness into this setting. The reader should note that the development is mathematically "mature" in its use of Hilbert space methods but not, we believe, mathematically difficult. This is in keeping with our desire to construct a theory that is rich in statistical tools for infer ence without the difficulties found in modern developments, such as likelihood analysis of stochastic processes or higher order methods, to name but two. The fundamental notions of orthogonality and projection are accessible to a good undergraduate or beginning graduate student. We hope that the monograph will serve the purpose of enriching the methods available to statisticians of various interests.

Author: Louis Lyons
Publisher: Imperial College Press
ISBN: 1860946496
Category : Science
Languages : en
Pages : 326

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Book Description
These proceedings comprise current statistical issues in analyzing data in particle physics, astrophysics and cosmology, as discussed at the PHYSTAT05 conference in Oxford. This is a continuation of the popular PHYSTAT series; previous meetings were held at CERN (2000), Fermilab (2000), Durham (2002) and Stanford (2003).In-depth discussions on topical issues are presented by leading statisticians and research workers in their relevant fields. Included are invited reviews and contributed research papers presenting the latest, state-of-the-art techniques.

Author: Samaradasa Weerahandi
Publisher: Springer Science & Business Media
ISBN: 1461208254
Category : Mathematics
Languages : en
Pages : 343

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Book Description
Now available in paperback, this book covers some recent developments in statistical inference. It provides methods applicable in problems involving nuisance parameters such as those encountered in comparing two exponential distributions or in ANOVA without the assumption of equal error variances. The generalized procedures are shown to be more powerful in detecting significant experimental results and in avoiding misleading conclusions.

Author: Ûrij Vladimirovič Linnik
Publisher: American Mathematical Soc.
ISBN: 9780821815700
Category : Estimation theory
Languages : en
Pages : 258

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Book Description

Author: D. V. Anosov
Publisher: American Mathematical Soc.
ISBN: 9780821814642
Category :
Languages : en
Pages : 306

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Book Description

Author: Janos Gertler
Publisher: Routledge
ISBN: 1351448781
Category : Technology & Engineering
Languages : en
Pages : 512

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Book Description
Featuring a model-based approach to fault detection and diagnosis in engineering systems, this book contains up-to-date, practical information on preventing product deterioration, performance degradation and major machinery damage.;College or university bookstores may order five or more copies at a special student price. Price is available upon request.

Author: Christian W. Fabjan
Publisher: Springer Nature
ISBN: 3030353184
Category : Heavy ions
Languages : en
Pages : 1083

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Book Description
This second open access volume of the handbook series deals with detectors, large experimental facilities and data handling, both for accelerator and non-accelerator based experiments. It also covers applications in medicine and life sciences. A joint CERN-Springer initiative, the "Particle Physics Reference Library" provides revised and updated contributions based on previously published material in the well-known Landolt-Boernstein series on particle physics, accelerators and detectors (volumes 21A, B1,B2,C), which took stock of the field approximately one decade ago. Central to this new initiative is publication under full open access

Author: Larry Wasserman
Publisher: Springer Science & Business Media
ISBN: 0387217363
Category : Mathematics
Languages : en
Pages : 446

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Book Description
Taken literally, the title "All of Statistics" is an exaggeration. But in spirit, the title is apt, as the book does cover a much broader range of topics than a typical introductory book on mathematical statistics. This book is for people who want to learn probability and statistics quickly. It is suitable for graduate or advanced undergraduate students in computer science, mathematics, statistics, and related disciplines. The book includes modern topics like non-parametric curve estimation, bootstrapping, and classification, topics that are usually relegated to follow-up courses. The reader is presumed to know calculus and a little linear algebra. No previous knowledge of probability and statistics is required. Statistics, data mining, and machine learning are all concerned with collecting and analysing data.

Author: Richard Royall
Publisher: Routledge
ISBN: 1351414569
Category : Mathematics
Languages : en
Pages : 191

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Book Description
Interpreting statistical data as evidence, Statistical Evidence: A Likelihood Paradigm focuses on the law of likelihood, fundamental to solving many of the problems associated with interpreting data in this way. Statistics has long neglected this principle, resulting in a seriously defective methodology. This book redresses the balance, explaining why science has clung to a defective methodology despite its well-known defects. After examining the strengths and weaknesses of the work of Neyman and Pearson and the Fisher paradigm, the author proposes an alternative paradigm which provides, in the law of likelihood, the explicit concept of evidence missing from the other paradigms. At the same time, this new paradigm retains the elements of objective measurement and control of the frequency of misleading results, features which made the old paradigms so important to science. The likelihood paradigm leads to statistical methods that have a compelling rationale and an elegant simplicity, no longer forcing the reader to choose between frequentist and Bayesian statistics.