Download or read book Unimodality Convexity and Applications written by and published by Elsevier. This book was released on 1988-08-01 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the basic notions and tools of unimodality as they relate to probability and statistics are presented. In addition, many applications are covered; these include the use of unimodality to obtain monotonicity properties of power functions of multivariate tests, minimum volume confidence regions, and recurrence of symmetric random walks. The diversity of the applications will convince the reader that unimodality and convexity form an important tool in the hands of a researcher in probability and statistics.

Download or read book Stochastic Orders and Applications written by Karl Mosler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: A bibliography on stochastic orderings. Was there a real need for it? In a time of reference databases as the MathSci or the Science Citation Index or the Social Science Citation Index the answer seems to be negative. The reason we think that this bibliog raphy might be of some use stems from the frustration that we, as workers in the field, have often experienced by finding similar results being discovered and proved over and over in different journals of different disciplines with different levels of mathematical so phistication and accuracy and most of the times without cross references. Of course it would be very unfair to blame an economist, say, for not knowing a result in mathematical physics, or vice versa, especially when the problems and the languages are so far apart that it is often difficult to recognize the analogies even after further scrutiny. We hope that collecting the references on this topic, regardless of the area of application, will be of some help, at least to pinpoint the problem. We use the term stochastic ordering in a broad sense to denote any ordering relation on a space of probability measures. Questions that can be related to the idea of stochastic orderings are as old as probability itself. Think for instance of the problem of comparing two gambles in order to decide which one is more favorable.

Download or read book Unimodality of Probability Measures written by Emile M.J. Bertin and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: The central theme of this monograph is Khinchin-type representation theorems. An abstract framework for unimodality, an example of applied functional analysis, is developed for the introduction of different types of unimodality and the study of their behaviour. Also, several useful consequences or ramifications tied to these notions are provided. Being neither an encyclopaedia, nor a historical overview, this book aims to serve as an understanding of the basic features of unimodality. Chapter 1 lays a foundation for the mathematical reasoning in the chapters following. Chapter 2 deals with the concept of Khinchin space, which leads to the introduction of beta-unimodality in Chapter 3. A discussion on several existing multivariate notions of unimodality concludes this chapter. Chapter 4 concerns Khinchin's classical unimodality, and Chapter 5 is devoted to discrete unimodality. Chapters 6 and 7 treat the concept of strong unimodality on R and to Ibragimov-type results characterising the probability measures which preserve unimodality by convolution, and the concept of slantedness, respectively. Most chapters end with comments, referring to historical aspects or supplying complementary information and open questions. A practical bibliography, as well as symbol, name and subject indices ensure efficient use of this volume. Audience: Both researchers and applied mathematicians in the field of unimodality will value this monograph, and it may be used in graduate courses or seminars on this subject too.

Download or read book Analytic Aspects of Convexity written by Gabriele Bianchi and published by Springer. This book was released on 2018-02-28 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the proceedings of the international conference Analytic Aspects in Convexity, which was held in Rome in October 2016. It offers a collection of selected articles, written by some of the world’s leading experts in the field of Convex Geometry, on recent developments in this area: theory of valuations; geometric inequalities; affine geometry; and curvature measures. The book will be of interest to a broad readership, from those involved in Convex Geometry, to those focusing on Functional Analysis, Harmonic Analysis, Differential Geometry, or PDEs. The book is a addressed to PhD students and researchers, interested in Convex Geometry and its links to analysis.

Download or read book Convex Optimization Euclidean Distance Geometry 2e written by Dattorro and published by Lulu.com. This book was released on 2015-09-29 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: Convex Analysis is an emerging calculus of inequalities while Convex Optimization is its application. Analysis is the domain of the mathematician while Optimization belongs to the engineer. In layman's terms, the mathematical science of Optimization is a study of how to make good choices when confronted with conflicting requirements and demands. The qualifier Convex means: when an optimal solution is found, then it is guaranteed to be a best solution; there is no better choice. As any convex optimization problem has geometric interpretation, this book is about convex geometry (with particular attention to distance geometry) and nonconvex, combinatorial, and geometrical problems that can be relaxed or transformed into convexity. A virtual flood of new applications follows by epiphany that many problems, presumed nonconvex, can be so transformed. This is a BLACK & WHITE paperback. A hardcover with full color interior, as originally conceived, is available at lulu.com/spotlight/dattorro

Download or read book Probability Theory and Mathematical Statistics written by B. Grigelionis and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-18 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Probability Theory and Mathematical Statistics".

Download or read book Probability Theory and Mathematical Statistics written by Bronius Grigelionis and published by VSP. This book was released on 1999 with total page 758 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 7th Vilnius Conference on Probability Theory and Mathematical Statistics was held together with the 22nd European Meeting of Statisticians, 12--18 August 1998. This Proceedings volume contains invited lectures as well as some selected contributed papers. Topics included in the conference are: general inference; time series; statistics and probability in the life sciences; statistics and probability in natural and social science; applied probability; probability.

Download or read book Data Analysis and Related Applications 4 written by Yiannis Dimotikalis and published by John Wiley & Sons. This book was released on 2024-10-08 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Multivariate Analysis and Its Applications written by Theodore Wilbur Anderson and published by IMS. This book was released on 1994 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Functional Equations in Mathematical Analysis written by Themistocles M. Rassias and published by Springer Science & Business Media. This book was released on 2011-09-18 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: The stability problem for approximate homomorphisms, or the Ulam stability problem, was posed by S. M. Ulam in the year 1941. The solution of this problem for various classes of equations is an expanding area of research. In particular, the pursuit of solutions to the Hyers-Ulam and Hyers-Ulam-Rassias stability problems for sets of functional equations and ineqalities has led to an outpouring of recent research. This volume, dedicated to S. M. Ulam, presents the most recent results on the solution to Ulam stability problems for various classes of functional equations and inequalities. Comprised of invited contributions from notable researchers and experts, this volume presents several important types of functional equations and inequalities and their applications to problems in mathematical analysis, geometry, physics and applied mathematics. "Functional Equations in Mathematical Analysis" is intended for researchers and students in mathematics, physics, and other computational and applied sciences.

Download or read book Robust Resource Allocation in Future Wireless Networks written by Saeedeh Parsaeefard and published by Springer. This book was released on 2017-03-06 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents state-of-the-art research on robust resource allocation in current and future wireless networks. The authors describe the nominal resource allocation problems in wireless networks and explain why introducing robustness in such networks is desirable. Then, depending on the objectives of the problem, namely maximizing the social utility or the per-user utility, cooperative or competitive approaches are explained and their corresponding robust problems are considered in detail. For each approach, the costs and benefits of robust schemes are discussed and the algorithms for reducing their costs and improving their benefits are presented. Considering the fact that such problems are inherently non-convex and intractable, a taxonomy of different relaxation techniques is presented, and applications of such techniques are shown via several examples throughout the book. Finally, the authors argue that resource allocation continues to be an important issue in future wireless networks, and propose specific problems for future research.

Download or read book Stochastic Orders and Decision Under Risk written by Karl C. Mosler and published by IMS. This book was released on 1991 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical Statistics written by Johann Pfanzagl and published by Springer. This book was released on 2017-10-23 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a detailed description of the development of statistical theory. In the mid twentieth century, the development of mathematical statistics underwent an enduring change, due to the advent of more refined mathematical tools. New concepts like sufficiency, superefficiency, adaptivity etc. motivated scholars to reflect upon the interpretation of mathematical concepts in terms of their real-world relevance. Questions concerning the optimality of estimators, for instance, had remained unanswered for decades, because a meaningful concept of optimality (based on the regularity of the estimators, the representation of their limit distribution and assertions about their concentration by means of Anderson’s Theorem) was not yet available. The rapidly developing asymptotic theory provided approximate answers to questions for which non-asymptotic theory had found no satisfying solutions. In four engaging essays, this book presents a detailed description of how the use of mathematical methods stimulated the development of a statistical theory. Primarily focused on methodology, questionable proofs and neglected questions of priority, the book offers an intriguing resource for researchers in theoretical statistics, and can also serve as a textbook for advanced courses in statisticc.

Download or read book Mathematical Models And Methods For Smart Materials written by Mauro Fabrizio and published by World Scientific. This book was released on 2002-12-16 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the papers presented at the conference on “Mathematical Models and Methods for Smart Materials”, held in Italy in 2001. The papers are divided into four parts:”Methods in Materials Science” deals mainly with mathematical techniques for the investigation of physical systems, such as liquid crystals, materials with internal variables, amorphous materials, and thermoelastic materials. Also, techniques are exhibited for the analysis of stability and controllability of classical models of continuum mechanics and of dynamical systems.”Modelling of Smart Materials” is devoted to models of superfluids, superconductors, materials with memory, nonlinear elastic solids, and damaged materials. In the elaboration of the models, thermodynamic aspects play a central role in the characterization of the constitutive properties.”Well-Posedness in Materials with Memory” deals with existence, uniqueness and stability for the solution of problems, most often expressed by integrodifferential equations, which involve materials with fading memory. Also, attention is given to exponential decay in viscoelasticity, inverse problems in heat conduction with memory, and automatic control for parabolic equations.”Analytic Problems in Phase Transitions” discusses nonlinear partial differential equations associated with phase transitions, and hysteresis, possibly involving fading memory effects. Particular applications are developed for the phase-field model with memory, the Stefan problem with a Cattaneo-type equation, the hysteresis in thermo-visco-plasticity, and the solid-solid phase transition.

Download or read book Random Contractions in Global Risk Governance written by Panagiotis T. Artikis and published by Springer Nature. This book was released on 2022-01-31 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contributes to the area of ongoing global risks and the area of forthcoming global risks, particularly necessary for the implementation of very important interdisciplinary research activities. Global risks are defined in this study as having a global geographical scope, an inter-industrial presence, and exceptionally critical stages of economic and social participation that necessitate a major multi-stakeholder input. In addition, global risks demand an extremely extensive priority in decision-making allowance. The theoretical and practical results of this work are strongly connected to several quite useful factors. The present work mainly concentrates on the contribution of probability theory in the advancement of the practical applicability of global risk governance. More precisely, the work introduces structural stochastic concepts and fundamental stochastic results for the formulation of stochastic models of various global risk governance operations particularly valuable in proactive treatment of several groups of global risks.

Download or read book Computer Aided Cytogenic Method of Cancer Diagnosis written by Roman I. Andrushkiw and published by Nova Publishers. This book was released on 2007 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a precise description of a new method and technology for early diagnosis of breast cancer and cancer of the thyroid gland. The method employs mathematical/statistical techniques of pattern recognition and state of the art results in oncomorphology and cytometry to detect and identify malignancy-associated DNA changes in patient's buccal epithelium, which provide early signs of the disease before other symptoms, such as the formation of a tumor, become evident. The method is noninvasive and requiring a scrape of buccal epithelium from the patient's oral cavity for analysis. The results of recent clinical trials show that the sensitivity and specificity of the method compares favorably with other diagnostic methods currently in use. Conventional methods, such as mammography and ultrasound, are important tools in screening patients for cancer. However, their reliability is limited (see, for example, "Mammogram Team Learns from its Errors," New York Times, page 1, June 28, 2002). Thus the problem of improving the reliability of noninvasive methods for early diagnosis of cancer has been the subject of intense research in recent years. The present book is the first of its kind on the topic of computer-aided cytogenetic method of cancer diagnosis and presents a new approach to this problem. The book is divided into four chapters and consists of approximately 300 pages and 40 figures. It is intended for graduate students, researchers and professionals in the field of oncology, medical diagnostics and cancer research.

Download or read book Trends In Probability And Related Analysis Proceedings Of Sap 96 written by N Kono and published by World Scientific. This book was released on 1997-10-31 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume reflects the current interest — especially of researchers in the Asia-Pacific region — in probability theory and related theory of analysis and statistics. It contains the papers of the two survey speakers, and of some other speakers and researchers. It brings out the theme of SAP, an international meeting on some aspects of probability, analysis and their interplay.