04619nam 2200853Ia 450 991045674750332120200520144314.01-282-45796-91-282-93606-9978661293606797866124579681-4008-3387-610.1515/9781400833870(CKB)2520000000006994(EBL)485767(OCoLC)638859365(SSID)ssj0000457488(PQKBManifestationID)11924193(PQKBTitleCode)TC0000457488(PQKBWorkID)10415122(PQKB)10475185(MiAaPQ)EBC485767(DE-B1597)446610(OCoLC)979779564(DE-B1597)9781400833870(MiAaPQ)EBC4968557(Au-PeEL)EBL485767(CaPaEBR)ebr10364743(CaONFJC)MIL293606(Au-PeEL)EBL4968557(CaONFJC)MIL245796(OCoLC)1027190663(EXLCZ)99252000000000699420090901d2010 uy 0engur|n|---|||||txtccrControl theoretic splines[electronic resource] optimal control, statistics, and path planning /Magnus Egerstedt and Clyde MartinCourse BookPrinceton Princeton University Pressc20101 online resource (227 p.)Princeton series in applied mathematicsDescription based upon print version of record.0-691-13296-8 Includes bibliographical references and index. Frontmatter -- Contents -- Preface -- Chapter One. Introduction -- Chapter Two. Control Systems and Minimum Norm Problems -- Chapter Three. Eight Fundamental Problems -- Chapter Four. Smoothing Splines and Generalizations -- Chapter Five. Approximations and Limiting Concepts -- Chapter Six. Smoothing Splines with Continuous Data -- Chapter Seven. Monotone Smoothing Splines -- Chapter Eight. Smoothing Splines as Integral Filters -- Chapter Nine. Optimal Transfer between Affine Varieties -- Chapter Ten. Path Planning and Telemetry -- Chapter Eleven. Node Selection -- Bibliography -- IndexSplines, both interpolatory and smoothing, have a long and rich history that has largely been application driven. This book unifies these constructions in a comprehensive and accessible way, drawing from the latest methods and applications to show how they arise naturally in the theory of linear control systems. Magnus Egerstedt and Clyde Martin are leading innovators in the use of control theoretic splines to bring together many diverse applications within a common framework. In this book, they begin with a series of problems ranging from path planning to statistics to approximation. Using the tools of optimization over vector spaces, Egerstedt and Martin demonstrate how all of these problems are part of the same general mathematical framework, and how they are all, to a certain degree, a consequence of the optimization problem of finding the shortest distance from a point to an affine subspace in a Hilbert space. They cover periodic splines, monotone splines, and splines with inequality constraints, and explain how any finite number of linear constraints can be added. This book reveals how the many natural connections between control theory, numerical analysis, and statistics can be used to generate powerful mathematical and analytical tools. This book is an excellent resource for students and professionals in control theory, robotics, engineering, computer graphics, econometrics, and any area that requires the construction of curves based on sets of raw data.Princeton series in applied mathematics.InterpolationSmoothing (Numerical analysis)Smoothing (Statistics)Curve fittingSplinesSpline theoryElectronic books.Interpolation.Smoothing (Numerical analysis)Smoothing (Statistics)Curve fitting.Splines.Spline theory.511/.42SK 880rvkEgerstedt Magnus771533Martin Clyde58749MiAaPQMiAaPQMiAaPQBOOK9910456747503321Control theoretic splines2450877UNINA05408nam 2200673Ia 450 991013936620332120230725041552.01-282-55043-897866125504300-470-68951-X0-470-68952-8(CKB)2520000000006742(EBL)496063(OCoLC)605024824(SSID)ssj0000364252(PQKBManifestationID)11263860(PQKBTitleCode)TC0000364252(PQKBWorkID)10398970(PQKB)10608754(MiAaPQ)EBC496063(EXLCZ)99252000000000674220100125d2010 uy 0engur|n|---|||||txtccrPermutation tests for complex data[electronic resource] theory, applications, and software /Fortunato Pesarin, Luigi SalmasoHoboken, N.J. Wiley20101 online resource (450 p.)Wiley series in probability and statisticsDescription based upon print version of record.0-470-51641-0 Includes bibliographical references and index.Permutation Tests for Complex Data; Contents; Preface; Notation and Abbreviations; 1 Introduction; 1.1 On Permutation Analysis; 1.2 The Permutation Testing Principle; 1.2.1 Nonparametric Family of Distributions; 1.2.2 The Permutation Testing Principle; 1.3 Permutation Approaches; 1.4 When and Why Conditioning is Appropriate; 1.5 Randomization and Permutation; 1.6 Computational Aspects; 1.7 Basic Notation; 1.8 A Problem with Paired Observations; 1.8.1 Modelling Responses; 1.8.2 Symmetry Induced by Exchangeability; 1.8.3 Further Aspects; 1.8.4 The Student's t-Paired Solution1.8.5 The Signed Rank Test Solution1.8.6 The McNemar Solution; 1.9 The Permutation Solution; 1.9.1 General Aspects; 1.9.2 The Permutation Sample Space; 1.9.3 The Conditional Monte Carlo Method; 1.9.4 Approximating the Permutation Distribution; 1.9.5 Problems and Exercises; 1.10 A Two-Sample Problem; 1.10.1 Modelling Responses; 1.10.2 The Student t Solution; 1.10.3 The Permutation Solution; 1.10.4 Rank Solutions; 1.10.5 Problems and Exercises; 1.11 One-Way ANOVA; 1.11.1 Modelling Responses; 1.11.2 Permutation Solutions; 1.11.3 Problems and Exercises2 Theory of One-Dimensional Permutation Tests2.1 Introduction; 2.1.1 Notation and Basic Assumptions; 2.1.2 The Conditional Reference Space; 2.1.3 Conditioning on a Set of Sufficient Statistics; 2.2 Definition of Permutation Tests; 2.2.1 General Aspects; 2.2.2 Randomized Permutation Tests; 2.2.3 Non-randomized Permutation Tests; 2.2.4 The p-Value; 2.2.5 A CMC Algorithm for Estimating the p-Value; 2.3 Some Useful Test Statistics; 2.4 Equivalence of Permutation Statistics; 2.4.1 Some Examples; 2.4.2 Problems and Exercises; 2.5 Arguments for Selecting Permutation Tests2.6 Examples of One-Sample Problems2.6.1 A Problem with Repeated Observations; 2.6.2 Problems and Exercises; 2.7 Examples of Multi-Sample Problems; 2.8 Analysis of Ordered Categorical Variables; 2.8.1 General Aspects; 2.8.2 A Solution Based on Score Transformations; 2.8.3 Typical Goodness-of-Fit Solutions; 2.8.4 Extension to Non-Dominance Alternatives and C Groups; 2.9 Problems and Exercises; 3 Further Properties of Permutation Tests; 3.1 Unbiasedness of Two-sample Tests; 3.1.1 One-Sided Alternatives; 3.1.2 Two-Sided Alternatives; 3.2 Power Functions of Permutation Tests3.2.1 Definition and Algorithm for the Conditional Power3.2.2 The Empirical Conditional ROC Curve; 3.2.3 Definition and Algorithm for the Unconditional Power: Fixed Effects; 3.2.4 Unconditional Power: Random Effects; 3.2.5 Comments on Power Functions; 3.3 Consistency of Permutation Tests; 3.4 Permutation Confidence Interval for d; 3.4.1 Problems and Exercises; 3.5 Extending Inference from Conditional to Unconditional; 3.6 Optimal Properties; 3.6.1 Problems and Exercises; 3.7 Some Asymptotic Properties; 3.7.1 Introduction; 3.7.2 Two Basic Theorems; 3.8 Permutation Central Limit Theorems3.8.1 Basic NotionsComplex multivariate testing problems are frequently encountered in many scientific disciplines, such as engineering, medicine and the social sciences. As a result, modern statistics needs permutation testing for complex data with low sample size and many variables, especially in observational studies. The Authors give a general overview on permutation tests with a focus on recent theoretical advances within univariate and multivariate complex permutation testing problems, this book brings the reader completely up to date with today's current thinking. Key Features:Examines the mosWiley series in probability and statistics.Statistical hypothesis testingPermutationsMultivariate analysisStatistical hypothesis testing.Permutations.Multivariate analysis.519.5519.5/6Pesarin Fortunato103222Salmaso Luigi741086MiAaPQMiAaPQMiAaPQBOOK9910139366203321Permutation tests for complex data1470379UNINA02719nam 2200625Ia 450 991014411030332120200520144314.09786611979577978128197957512819795709789048503506904850350710.5117/9789053560594(CKB)1000000000552477(EBL)437582(OCoLC)323271572(MiAaPQ)EBC437582(Au-PeEL)EBL437582(CaPaEBR)ebr10391873(CaONFJC)MIL197957(ScCtBLL)41de5c9c-481f-44ed-86e4-f72f5e9a45d8(OCoLC)1159387617(EXLCZ)99100000000055247719970127d1996 uy 0engurcn|||||||||txtrdacontentcrdamediacrrdacarrierFassbinder's Germany history, identity, subject /by Thomas Elsaesser1st ed.Amsterdam Amsterdam University Pressc19961 online resource (397 p.)Film culture in transitionDescription based upon print version of record.9789053560594 9053560599 Includes bibliographical references (p. 321-339) and index.Table of Contents; Introduction: A Work Upstaged by Life?; 1. Fassbinder Representing Germany; 2. From Vicious Circles to Double Binds Impossible Demands in the Field of Vision; 3. Murder, Merger, Suicide The Politics of despair; 4. The BRD Trilogy, or: History, The Love Story? THE MARRIAGE OF MARIA BRAUN, LOLA and VERONIKA VOSS; 5. Fassbinder, Reflections of Fascism and the European Cinema; 6. ...wie einst? LILI MARLEEN; 7. Frankfurt, Germans and Jews The City, Garbage and Death; 8. Beyond 'Schuld' and 'Schulden' IN A YEAR OF THIRTEEN MOONS9. Franz Biberkopf's/ex-changes BERLIN ALEXANDERPLATZ 10. Historicising the Subject A Body of Work; Appendix One: A Commented Filmography The House That Rainer Built; Appendix Two: Fassbinder's Germany 1945-1982 A Chronology; Appendix Three: Bibliography; Notes; IndexPioneering study exploring a major filmmaker's creative vision of Germany's troubled national identity.Film culture in transition.Motion picturesGermanyHistoryMotion picturesHistory.791.43791.430233791.430233092Elsaesser Thomas1943-560465MiAaPQMiAaPQMiAaPQBOOK9910144110303321Fassbinder's Germany4195099UNINA