Convex Functions Partial Orderings And Statistical Applications

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Convex Functions, Partial Orderings, and Statistical Applications

Author : Josip E. Peajcariaac
Publisher : Academic Press
ISBN 13 : 0080925227
Total Pages : 485 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Convex Functions, Partial Orderings, and Statistical Applications by : Josip E. Peajcariaac

Download or read book Convex Functions, Partial Orderings, and Statistical Applications written by Josip E. Peajcariaac and published by Academic Press. This book was released on 1992-06-03 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research-level book presents up-to-date information concerning recent developments in convex functions and partial orderings and some applications in mathematics, statistics, and reliability theory. The book will serve researchers in mathematical and statistical theory and theoretical and applied reliabilists. Presents classical and newly published results on convex functions and related inequalities Explains partial ordering based on arrangement and their applications in mathematics, probability, statsitics, and reliability Demonstrates the connection of partial ordering with other well-known orderings such as majorization and Schur functions Will generate further research and applications

Convex Functions, Partical Orderings, and Statistical Applications

Author : J. E. Pečarić
Publisher :
ISBN 13 :
Total Pages : 469 pages
Book Rating : 4.:/5 (657 download)

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Book Synopsis Convex Functions, Partical Orderings, and Statistical Applications by : J. E. Pečarić

Download or read book Convex Functions, Partical Orderings, and Statistical Applications written by J. E. Pečarić and published by . This book was released on 1992 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Convex Functions and Their Applications

Author : Constantin P. Niculescu
Publisher : Springer
ISBN 13 : 3319783378
Total Pages : 430 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Convex Functions and Their Applications by : Constantin P. Niculescu

Download or read book Convex Functions and Their Applications written by Constantin P. Niculescu and published by Springer. This book was released on 2018-06-08 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thorough introduction to an important area of mathematics Contains recent results Includes many exercises

An Easy Path to Convex Analysis and Applications

Author : Boris Mordukhovich
Publisher : Springer Nature
ISBN 13 : 3031024060
Total Pages : 202 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis An Easy Path to Convex Analysis and Applications by : Boris Mordukhovich

Download or read book An Easy Path to Convex Analysis and Applications written by Boris Mordukhovich and published by Springer Nature. This book was released on 2022-05-31 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Convex optimization has an increasing impact on many areas of mathematics, applied sciences, and practical applications. It is now being taught at many universities and being used by researchers of different fields. As convex analysis is the mathematical foundation for convex optimization, having deep knowledge of convex analysis helps students and researchers apply its tools more effectively. The main goal of this book is to provide an easy access to the most fundamental parts of convex analysis and its applications to optimization. Modern techniques of variational analysis are employed to clarify and simplify some basic proofs in convex analysis and build the theory of generalized differentiation for convex functions and sets in finite dimensions. We also present new applications of convex analysis to location problems in connection with many interesting geometric problems such as the Fermat-Torricelli problem, the Heron problem, the Sylvester problem, and their generalizations. Of course, we do not expect to touch every aspect of convex analysis, but the book consists of sufficient material for a first course on this subject. It can also serve as supplemental reading material for a course on convex optimization and applications.

Convex Functions

Author : Jonathan M. Borwein
Publisher : Cambridge University Press
ISBN 13 : 1139811096
Total Pages : 533 pages
Book Rating : 4.1/5 (398 download)

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Book Synopsis Convex Functions by : Jonathan M. Borwein

Download or read book Convex Functions written by Jonathan M. Borwein and published by Cambridge University Press. This book was released on 2010-01-14 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: Like differentiability, convexity is a natural and powerful property of functions that plays a significant role in many areas of mathematics, both pure and applied. It ties together notions from topology, algebra, geometry and analysis, and is an important tool in optimization, mathematical programming and game theory. This book, which is the product of a collaboration of over 15 years, is unique in that it focuses on convex functions themselves, rather than on convex analysis. The authors explore the various classes and their characteristics and applications, treating convex functions in both Euclidean and Banach spaces. The book can either be read sequentially for a graduate course, or dipped into by researchers and practitioners. Each chapter contains a variety of specific examples, and over 600 exercises are included, ranging in difficulty from early graduate to research level.

Schur-Convex Functions and Inequalities

Author : Huan-nan Shi
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110607867
Total Pages : 256 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Schur-Convex Functions and Inequalities by : Huan-nan Shi

Download or read book Schur-Convex Functions and Inequalities written by Huan-nan Shi and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-07-08 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume work introduces the theory and applications of Schur-convex functions. The second volume mainly focuses on the application of Schur-convex functions in sequences inequalities, integral inequalities, mean value inequalities for two variables, mean value inequalities for multi-variables, and in geometric inequalities.

Mathematical Statistics

Author : Johann Pfanzagl
Publisher : Springer
ISBN 13 : 3642310842
Total Pages : 321 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Mathematical Statistics by : Johann Pfanzagl

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.

Convex-Ordering Among Functions, with Applications to Reliability and Mathematical Statistics

Author : Wai Chan
Publisher :
ISBN 13 :
Total Pages : 19 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Convex-Ordering Among Functions, with Applications to Reliability and Mathematical Statistics by : Wai Chan

Download or read book Convex-Ordering Among Functions, with Applications to Reliability and Mathematical Statistics written by Wai Chan and published by . This book was released on 1983 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hardy, Littlewood and Polya (1934) introduced the notion of one function being convex with respect to a second function and developed some inequalities concerning the means of the functions. We use this notion to establish a partial order called convex-ordering among functions. In particular, the distribution functions encountered in many parametric families in reliability theory are convex-ordered. We have formulated some inequalities which can be used for testing whether a sample comes from F or G, when F and G are within the same convex family. Performance characteristics of different coherent structures can also be compared with respect to this partial ordering. For example, we will show that the reliability of a k+l-out-of-n system is convex with respect to the reliability of a k-out-of-n system. When F is convex with respect to G, the tail of the distribution F is heavier than that of G; therefore, our convex ordering implies stochastic ordering. The ordering is also related to total positivity and monotone likelihood ratio families. This provides us a tool to obtain some useful results in reliability and mathematical statistics.

Nonlinear Analysis, Differential Equations, and Applications

Author : Themistocles M. Rassias
Publisher : Springer Nature
ISBN 13 : 3030725634
Total Pages : 791 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Nonlinear Analysis, Differential Equations, and Applications by : Themistocles M. Rassias

Download or read book Nonlinear Analysis, Differential Equations, and Applications written by Themistocles M. Rassias and published by Springer Nature. This book was released on 2021-08-20 with total page 791 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume showcases research and survey papers devoted to a broad range of topics on functional equations, ordinary differential equations, partial differential equations, stochastic differential equations, optimization theory, network games, generalized Nash equilibria, critical point theory, calculus of variations, nonlinear functional analysis, convex analysis, variational inequalities, topology, global differential geometry, curvature flows, perturbation theory, numerical analysis, mathematical finance and a variety of applications in interdisciplinary topics. Chapters in this volume investigate compound superquadratic functions, the Hyers–Ulam Stability of functional equations, edge degenerate pseudo-hyperbolic equations, Kirchhoff wave equation, BMO norms of operators on differential forms, equilibrium points of the perturbed R3BP, complex zeros of solutions to second order differential equations, a higher-order Ginzburg–Landau-type equation, multi-symplectic numerical schemes for differential equations, the Erdős-Rényi network model, strongly m-convex functions, higher order strongly generalized convex functions, factorization and solution of second order differential equations, generalized topologically open sets in relator spaces, graphical mean curvature flow, critical point theory in infinite dimensional spaces using the Leray-Schauder index, non-radial solutions of a supercritical equation in expanding domains, the semi-discrete method for the approximation of the solution of stochastic differential equations, homotopic metric-interval L-contractions in gauge spaces, Rhoades contractions theory, network centrality measures, the Radon transform in three space dimensions via plane integration and applications in positron emission tomography boundary perturbations on medical monitoring and imaging techniques, the KdV-B equation and biomedical applications.

Inequalities

Author : Shigeru Furuichi
Publisher : MDPI
ISBN 13 : 3039280627
Total Pages : 204 pages
Book Rating : 4.0/5 (392 download)

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Book Synopsis Inequalities by : Shigeru Furuichi

Download or read book Inequalities written by Shigeru Furuichi and published by MDPI. This book was released on 2020-01-15 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inequalities appear in various fields of natural science and engineering. Classical inequalities are still being improved and/or generalized by many researchers. That is, inequalities have been actively studied by mathematicians. In this book, we selected the papers that were published as the Special Issue ‘’Inequalities’’ in the journal Mathematics (MDPI publisher). They were ordered by similar topics for readers’ convenience and to give new and interesting results in mathematical inequalities, such as the improvements in famous inequalities, the results of Frame theory, the coefficient inequalities of functions, and the kind of convex functions used for Hermite–Hadamard inequalities. The editor believes that the contents of this book will be useful to study the latest results for researchers of this field.

Sharp Inequalities for Ordered Random Variables in Statistics and Reliability

Author : Narayanaswamy Balakrishnan
Publisher : Springer Nature
ISBN 13 : 3031613473
Total Pages : 681 pages
Book Rating : 4.0/5 (316 download)

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Book Synopsis Sharp Inequalities for Ordered Random Variables in Statistics and Reliability by : Narayanaswamy Balakrishnan

Download or read book Sharp Inequalities for Ordered Random Variables in Statistics and Reliability written by Narayanaswamy Balakrishnan and published by Springer Nature. This book was released on with total page 681 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advances in Mathematical Inequalities and Applications

Author : Praveen Agarwal
Publisher : Springer
ISBN 13 : 9811330131
Total Pages : 349 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Advances in Mathematical Inequalities and Applications by : Praveen Agarwal

Download or read book Advances in Mathematical Inequalities and Applications written by Praveen Agarwal and published by Springer. This book was released on 2018-12-31 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of original research and survey articles on mathematical inequalities and their numerous applications in diverse areas of mathematics and engineering. It includes chapters on convexity and related concepts; inequalities for mean values, sums, functions, operators, functionals, integrals and their applications in various branches of mathematics and related sciences; fractional integral inequalities; and weighted type integral inequalities. It also presents their wide applications in biomathematics, boundary value problems, mechanics, queuing models, scattering, and geomechanics in a concise, but easily understandable way that makes the further ramifications and future directions clear. The broad scope and high quality of the contributions make this book highly attractive for graduates, postgraduates and researchers. All the contributing authors are leading international academics, scientists, researchers and scholars.

Nonlinear Analysis and Global Optimization

Author : Themistocles M. Rassias
Publisher : Springer Nature
ISBN 13 : 3030617327
Total Pages : 484 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Nonlinear Analysis and Global Optimization by : Themistocles M. Rassias

Download or read book Nonlinear Analysis and Global Optimization written by Themistocles M. Rassias and published by Springer Nature. This book was released on 2021-02-26 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume discusses aspects of nonlinear analysis in which optimization plays an important role, as well as topics which are applied to the study of optimization problems. Topics include set-valued analysis, mixed concave-convex sub-superlinear Schroedinger equation, Schroedinger equations in nonlinear optics, exponentially convex functions, optimal lot size under the occurrence of imperfect quality items, generalized equilibrium problems, artificial topologies on a relativistic spacetime, equilibrium points in the restricted three-body problem, optimization models for networks of organ transplants, network curvature measures, error analysis through energy minimization and stability problems, Ekeland variational principles in 2-local Branciari metric spaces, frictional dynamic problems, norm estimates for composite operators, operator factorization and solution of second-order nonlinear difference equations, degenerate Kirchhoff-type inclusion problems, and more.

Integral Inequalities and Generalized Convexity

Author : Shashi Kant Mishra
Publisher : CRC Press
ISBN 13 : 1000952096
Total Pages : 531 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Integral Inequalities and Generalized Convexity by : Shashi Kant Mishra

Download or read book Integral Inequalities and Generalized Convexity written by Shashi Kant Mishra and published by CRC Press. This book was released on 2023-09-18 with total page 531 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book covers several new research findings in the area of generalized convexity and integral inequalities. Integral inequalities using various type of generalized convex functions are applicable in many branches of mathematics such as mathematical analysis, fractional calculus, and discrete fractional calculus. The book contains integral inequalities of Hermite-Hadamard type, Hermite- Hadamard-Fejer type and majorization type for the generalized strongly convex functions. It presents Hermite-Hadamard type inequalities for functions defined on Time scales. Further, it provides the generalization and extensions of the concept of preinvexity for interval-valued functions and stochastic processes, and give Hermite-Hadamard type and Ostrowski type inequalities for these functions. These integral inequalities are utilized in numerous areas for the boundedness of generalized convex functions. Features: Covers Interval-valued calculus, Time scale calculus, Stochastic processes – all in one single book Numerous examples to validate results Provides an overview of the current state of integral inequalities and convexity for a much wider audience, including practitioners Applications of some special means of real numbers are also discussed The book is ideal for anyone teaching or attending courses in integral inequalities along with researchers in this area.

Inequalities and Applications 2010

Author : Catherine Bandle
Publisher : Springer Science & Business Media
ISBN 13 : 3034802498
Total Pages : 274 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Inequalities and Applications 2010 by : Catherine Bandle

Download or read book Inequalities and Applications 2010 written by Catherine Bandle and published by Springer Science & Business Media. This book was released on 2012-05-26 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inequalities arise as an essential component in various mathematical areas. Besides forming a highly important collection of tools, e.g. for proving analytic or stochastic theorems or for deriving error estimates in numerical mathematics, they constitute a challenging research field of their own. Inequalities also appear directly in mathematical models for applications in science, engineering, and economics. This edited volume covers divers aspects of this fascinating field. It addresses classical inequalities related to means or to convexity as well as inequalities arising in the field of ordinary and partial differential equations, like Sobolev or Hardy-type inequalities, and inequalities occurring in geometrical contexts. Within the last five decades, the late Wolfgang Walter has made great contributions to the field of inequalities. His book on differential and integral inequalities was a real breakthrough in the 1970’s and has generated a vast variety of further research in this field. He also organized six of the seven “General Inequalities” Conferences held at Oberwolfach between 1976 and 1995, and co-edited their proceedings. He participated as an honorary member of the Scientific Committee in the “General Inequalities 8” conference in Hungary. As a recognition of his great achievements, this volume is dedicated to Wolfgang Walter’s memory. The “General Inequalities” meetings found their continuation in the “Conferences on Inequalities and Applications” which, so far, have been held twice in Hungary. This volume contains selected contributions of participants of the second conference which took place in Hajdúszoboszló in September 2010, as well as additional articles written upon invitation. These contributions reflect many theoretical and practical aspects in the field of inequalities, and will be useful for researchers and lecturers, as well as for students who want to familiarize themselves with the area.

Continuous Univariate Distributions, Volume 2

Author : Norman L. Johnson
Publisher : John Wiley & Sons
ISBN 13 : 0471584940
Total Pages : 747 pages
Book Rating : 4.4/5 (715 download)

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Book Synopsis Continuous Univariate Distributions, Volume 2 by : Norman L. Johnson

Download or read book Continuous Univariate Distributions, Volume 2 written by Norman L. Johnson and published by John Wiley & Sons. This book was released on 1995-05-08 with total page 747 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive reference for statistical distributions Continuous Univariate Distributions, Volume 2 provides in-depth reference for anyone who applies statistical distributions in fields including engineering, business, economics, and the sciences. Covering a range of distributions, both common and uncommon, this book includes guidance toward extreme value, logistics, Laplace, beta, rectangular, noncentral distributions and more. Each distribution is presented individually for ease of reference, with clear explanations of methods of inference, tolerance limits, applications, characterizations, and other important aspects, including reference to other related distributions.

International Research in Math Sciences V

Author : Özlem Alpu
Publisher : EĞİTİM YAYINEVİ
ISBN 13 : 6256613899
Total Pages : 80 pages
Book Rating : 4.2/5 (566 download)

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Book Synopsis International Research in Math Sciences V by : Özlem Alpu

Download or read book International Research in Math Sciences V written by Özlem Alpu and published by EĞİTİM YAYINEVİ. This book was released on 2024-05-01 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our main goal in the creation of this book titled "International Research in Math Sciences V" is to bring together current studies in different disciplines such as statistics, biostatistics, mathematics, and chemistry and present them to the scientific world. I think readers will go on a journey that will increase their understanding of the topics and pique their curiosity in a variety of scientific fields as they read this book. I hope that the book will be useful for academics, researchers and all readers, and contribute to their studies.