This volume collects together papers presented at the 1985 Conference in Function Estimation held at Humboldt State University. The papers focus especially on various types of spline estimations and convolution problems. The use of estimation and approximation methods as applied to geophysics, numerical analysis, and nonparametric statistics was a special feature of this conference.
The authors establish square function estimates for integral operators on uniformly rectifiable sets by proving a local theorem and applying it to show that such estimates are stable under the so-called big pieces functor. More generally, they consider integral operators associated with Ahlfors-David regular sets of arbitrary codimension in ambient quasi-metric spaces. The local theorem is then used to establish an inductive scheme in which square function estimates on so-called big pieces of an Ahlfors-David regular set are proved to be sufficient for square function estimates to hold on the entire set. Extrapolation results for and Hardy space versions of these estimates are also established. Moreover, the authors prove square function estimates for integral operators associated with variable coefficient kernels, including the Schwartz kernels of pseudodifferential operators acting between vector bundles on subdomains with uniformly rectifiable boundaries on manifolds.
This book presents an overview of recent developments in the area of localization for quasi-periodic lattice Schrödinger operators and the theory of quasi-periodicity in Hamiltonian evolution equations. The physical motivation of these models extends back to the works of Rudolph Peierls and Douglas R. Hofstadter, and the models themselves have been a focus of mathematical research for two decades. Jean Bourgain here sets forth the results and techniques that have been discovered in the last few years. He puts special emphasis on so-called "non-perturbative" methods and the important role of subharmonic function theory and semi-algebraic set methods. He describes various applications to the theory of differential equations and dynamical systems, in particular to the quantum kicked rotor and KAM theory for nonlinear Hamiltonian evolution equations. Intended primarily for graduate students and researchers in the general area of dynamical systems and mathematical physics, the book provides a coherent account of a large body of work that is presently scattered in the literature. It does so in a refreshingly contained manner that seeks to convey the present technological "state of the art."
Topics emphasized in this book include nonparametric density estimation, multi-dimensional data analysis, cancer progression, chaos theory, and parallel based algorithms.
This three-volume handbook includes state-of-the-art surveys in different areas of neoclassical production economics. Volumes 1 and 2 cover theoretical and methodological issues only. Volume 3 includes surveys of empirical applications in different areas like manufacturing, agriculture, banking, energy and environment, and so forth.
Sex differences abound in labor markets. In the United States three differences in particular have attracted the most attention: the earnings gap, occupational segregation, and the greater responsibility of women for child care and housework, and consequential lower participation in the labor market.This volume brings together David Neumark's work
This title was first published in 2003. The working poor of the world are observed to engage in long hours in hard jobs and to work more if wages are further reduced. Mainstream economics brushes off this tendency to increase labour supply as wages fall as perverse because it does not fit the conventional wisdom and tries to explain it as a result of "subsistence mentality", "limited aspiration", or "target income" behaviour of the poor. This however ignores the observed fact that the poor work long hard hours but most of the time, fail to meet their minimum needs of subsistence and live impoverished lives in absolute poverty deficient of both food and physical rest. This book postulates that the observed behaviour is the result of economic distress the working poor suffer and analyses it as a rational behaviour using the conventional utility maximization framework and derives both theoretical and empirical results consistent with the observation. This book aims to correct a serious misconception persisting in the literature relating to the working-poor labour-supply behaviour that is almost universally observed. It also goes onto develop, using the supply function, a methodology to determine the standard of subsistence income and physical rest for the worker.
The celebrated economist Zvi Griliches’s entire career can be viewed as an attempt to advance the cause of accuracy in economic measurement. His interest in the causes and consequences of technical progress led to his pathbreaking work on price hedonics, now the principal analytical technique available to account for changes in product quality. Hard-to-Measure Goods and Services, a collection of papers from an NBER conference held in Griliches’s honor, is a tribute to his many contributions to current economic thought. Here, leading scholars of economic measurement address issues in the areas of productivity, price hedonics, capital measurement, diffusion of new technologies, and output and price measurement in “hard-to-measure” sectors of the economy. Furthering Griliches’s vital work that changed the way economists think about the U.S. National Income and Product Accounts, this volume is essential for all those interested in the labor market, economic growth, production, and real output.
NOISE AND VIBRATION ANALYSIS Complete guide to signal processing and modal analysis theory, with coverage of practical applications and a plethora of learning tools Featuring numerous line diagrams and illustrations, the newly revised and updated Second Edition of Noise and Vibration Analysis is a comprehensive and practical guide that combines both signal processing and modal analysis theory with their practical application in noise and vibration analysis. This new edition has been updated with three new chapters covering experimental modal analysis, operational modal analysis, and practical vibration measurements. Taking a practical learning approach, the text includes exercises that allow the content to be developed in an academic course framework or as supplementary material for private and further study, including multiple choice questions at the end of each chapter. An accompanying website hosts a MATLAB® toolbox, additional problems and examples, and videos. Written by a highly qualified author with significant experience in the field, Noise and Vibration Analysis covers topics such as: Dynamic signals and systems, covering periodic, random, and transient signals, RMS value and power, and the Continuous Fourier Transform Time data analysis, covering the sampling theorem, analog, digital, smoothing, and acoustic octave filters, time data differentiation, and FFT-based processing Statistics and random processes, covering expected value, errors in estimates, and probability distribution in random theory, and tests of normality and stationarity Fundamental mechanics, covering Newton’s laws, alternative quantities for describing motion, frequency response plot formats, and rotating mass Noise and Vibration Analysis is an excellent resource for researchers and engineers from the automotive, aerospace, mechanical, or electronics industries who work with experimental or analytical vibration analysis and/or acoustics. The text is also valuable for graduate students enrolled in vibration analysis, experimental structural dynamics, or applied signal analysis courses.
