Non-standard Rank Tests PDF Download

Author: Arnold Janssen
Publisher:
ISBN:
Category : Asymptotic distribution (Probability theory)
Languages : en
Pages : 264

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Author: Arnold Janssen
Publisher: Springer
ISBN: 9780387974842
Category : Mathematics
Languages : en
Pages : 252

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Book Description
This monograph extends the notion of locally most powerful rank tests to non-regular cases. Through this no- tion one is led in a natural way to "non-standard" rank tests. A nearly complete analysis of the finite sample and asymptotic properties of such rank tests is presented. Also an adaptive test procedure is proposed and studied, and the results of a Monte Carlo simulation are given which provide strong evidence that it should perform well in many practical situations. An appendix derives the limit experiments needed to investigate the asymptotic optimality of these "non-standard" rank tests under local alternatives. The results in the appendix should also be of separate interest.

Author: Michael A. Fligner
Publisher: Springer Science & Business Media
ISBN: 1461227380
Category : Mathematics
Languages : en
Pages : 330

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Book Description
In June of 1990, a conference was held on Probablity Models and Statisti cal Analyses for Ranking Data, under the joint auspices of the American Mathematical Society, the Institute for Mathematical Statistics, and the Society of Industrial and Applied Mathematicians. The conference took place at the University of Massachusetts, Amherst, and was attended by 36 participants, including statisticians, mathematicians, psychologists and sociologists from the United States, Canada, Israel, Italy, and The Nether lands. There were 18 presentations on a wide variety of topics involving ranking data. This volume is a collection of 14 of these presentations, as well as 5 miscellaneous papers that were contributed by conference participants. We would like to thank Carole Kohanski, summer program coordinator for the American Mathematical Society, for her assistance in arranging the conference; M. Steigerwald for preparing the manuscripts for publication; Martin Gilchrist at Springer-Verlag for editorial advice; and Persi Diaconis for contributing the Foreword. Special thanks go to the anonymous referees for their careful readings and constructive comments. Finally, we thank the National Science Foundation for their sponsorship of the AMS-IMS-SIAM Joint Summer Programs. Contents Preface vii Conference Participants xiii Foreword xvii 1 Ranking Models with Item Covariates 1 D. E. Critchlow and M. A. Fligner 1. 1 Introduction. . . . . . . . . . . . . . . 1 1. 2 Basic Ranking Models and Their Parameters 2 1. 3 Ranking Models with Covariates 8 1. 4 Estimation 9 1. 5 Example. 11 1. 6 Discussion. 14 1. 7 Appendix . 15 1. 8 References.

Author: Masafumi Akahira
Publisher: Springer Science & Business Media
ISBN: 146122554X
Category : Mathematics
Languages : en
Pages : 192

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In order to obtain many of the classical results in the theory of statistical estimation, it is usual to impose regularity conditions on the distributions under consideration. In small sample and large sample theories of estimation there are well established sets of regularity conditions, and it is worth while to examine what may follow if any one of these regularity conditions fail to hold. "Non-regular estimation" literally means the theory of statistical estimation when some or other of the regularity conditions fail to hold. In this monograph, the authors present a systematic study of the meaning and implications of regularity conditions, and show how the relaxation of such conditions can often lead to surprising conclusions. Their emphasis is on considering small sample results and to show how pathological examples may be considered in this broader framework.

Author: Eduardo M.R.A. Engel
Publisher: Springer Science & Business Media
ISBN: 1441986847
Category : Mathematics
Languages : en
Pages : 166

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There are many ways of introducing the concept of probability in classical, i. e, deter ministic, physics. This work is concerned with one approach, known as "the method of arbitrary funetionJ. " It was put forward by Poincare in 1896 and developed by Hopf in the 1930's. The idea is the following. There is always some uncertainty in our knowledge of both the initial conditions and the values of the physical constants that characterize the evolution of a physical system. A probability density may be used to describe this uncertainty. For many physical systems, dependence on the initial density washes away with time. Inthese cases, the system's position eventually converges to the same random variable, no matter what density is used to describe initial uncertainty. Hopf's results for the method of arbitrary functions are derived and extended in a unified fashion in these lecture notes. They include his work on dissipative systems subject to weak frictional forces. Most prominent among the problems he considers is his carnival wheel example, which is the first case where a probability distribution cannot be guessed from symmetry or other plausibility considerations, but has to be derived combining the actual physics with the method of arbitrary functions. Examples due to other authors, such as Poincare's law of small planets, Borel's billiards problem and Keller's coin tossing analysis are also studied using this framework. Finally, many new applications are presented.

Author: Piero Barone
Publisher: Springer Science & Business Media
ISBN: 1461229200
Category : Mathematics
Languages : en
Pages : 266

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This volume comprises a collection of papers by world- renowned experts on image analysis. The papers range from survey articles to research papers, and from theoretical topics such as simulated annealing through to applied image reconstruction. It covers applications as diverse as biomedicine, astronomy, and geophysics. As a result, any researcher working on image analysis will find this book provides an up-to-date overview of the field and in addition, the extensive bibliographies will make this a useful reference.

Author: Enno Mammen
Publisher: Springer Science & Business Media
ISBN: 1461229502
Category : Mathematics
Languages : en
Pages : 205

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Author: L.L. Katan
Publisher: Springer Science & Business Media
ISBN: 1461312256
Category : Technology & Engineering
Languages : en
Pages : 315

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Book Description
The advent of sophisticated packaging materials and methods had stimulated the development of complex delivery systems from producer to consumer, resulting in the availability of a wide range of products at an affordable price. Contemporary distribution methods are not without problems however, and specifically related to packaging is the possibility of migration--the contamination of food by components of the materials in contact with it. In this area, both technology and regulations are well developed, but basic science, for a variety of reasons, has tended to advance less quickly. This book addresses the basic science of migration. The editor has brought together a range of authors, all of whom are acknowledged experts in their fields, to provide a timely and concise overview of this important topic. Covering basic science, common materials and the major regulations in North America, Europe and Japan, this book will become a key information source in every library concerned with food technology. Food technologists, manufacturers of packaging and other food contact materials and regulatory professionals will all find this book an indispensable reference source.

Author: Robert Baboian
Publisher: ASTM International
ISBN:
Category : Corrosion and anti-corrosives
Languages : en
Pages : 887

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Author: David D. Hanagal
Publisher: Springer Nature
ISBN: 9811511810
Category : Medical
Languages : en
Pages : 307

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This book presents the basic concepts of survival analysis and frailty models, covering both fundamental and advanced topics. It focuses on applications of statistical tools in biology and medicine, highlighting the latest frailty-model methodologies and applications in these areas. After explaining the basic concepts of survival analysis, the book goes on to discuss shared, bivariate, and correlated frailty models and their applications. It also features nine datasets that have been analyzed using the R statistical package. Covering recent topics, not addressed elsewhere in the literature, this book is of immense use to scientists, researchers, students and teachers.