Parameters

This book presents a detailed examination of the estimation techniques and modeling problems. The theory is furnished with several illustrations and computer programs to promote better understanding of system modeling and parameter estimation.

This book develops a minimalist approach to cross-linguistic morphosyntactic variation. Ian Roberts argues that the essential insight of the principles-and-parameters approach to variation can be maintained - albeit in a somewhat different guise - in the context of the minimalist program for linguistic theory. The central idea is to organize the parameters of Universal Grammar (UG) into hierarchies that define the ways in which properties of individually variant categories and features may act in concert. A further leading idea, which is consistent with the overall goal of the minimalist programme to reduce the content of UG, is that the parameter hierarchies are not directly determined by UG, and are instead emergent properties stemming from the interaction of the three factors in language design. Cross-linguistic variation in word order, null subjects, incorporation, verb-movement, case/alignment, wh-movement, and negation are all analyzed in the light of this approach. This book represents a significant new contribution to the formal study of cross-linguistic morphosyntactic variation on both the empirical and theoretical levels, and will appeal to researchers and students in all areas of theoretical linguistics and comparative syntax.

This book proposes a general approach to the basic difficulties appearing in the resolution of inverse problems.

Parameter Estimation and Inverse Problems primarily serves as a textbook for advanced undergraduate and introductory graduate courses. It promotes a fundamental understanding of parameter estimation and inverse problem philosophy and methodology. It introduces readers to Classical and Bayesian approaches to linear and nonlinear problems, with particular attention to computational, mathematical, and statistical issues related to their application to geophysical problems. Four appendices review foundational concepts in linear algebra, statistics, vector calculus, and notation. Pedagogy includes hundreds of highlighted equations, examples, and definitions; introductory chapter synopses; end-of-chapter exercises, both programming and theoretical; and suggestions for further reading. The text is designed to be accessible to graduate students and professionals in physical sciences without an extensive mathematical background. Designed to be accessible to graduate students and professionals in physical sciences without an extensive mathematical background Includes three appendices for review of linear algebra and crucial concepts in statistics Battle-tested in courses at several universities MATLAB exercises facilitate exploration of material

This comprehensive book, rich with applications, offers a quantitative framework for the analysis of the various capture-recapture models for open animal populations, while also addressing associated computational methods. The state of our wildlife populations provides a litmus test for the state of our environment, especially in light of global warming and the increasing pollution of our land, seas, and air. In addition to monitoring our food resources such as fisheries, we need to protect endangered species from the effects of human activities (e.g. rhinos, whales, or encroachments on the habitat of orangutans). Pests must be be controlled, whether insects or viruses, and we need to cope with growing feral populations such as opossums, rabbits, and pigs. Accordingly, we need to obtain information about a given population’s dynamics, concerning e.g. mortality, birth, growth, breeding, sex, and migration, and determine whether the respective population is increasing , static, or declining. There are many methods for obtaining population information, but the most useful (and most work-intensive) is generically known as “capture-recapture,” where we mark or tag a representative sample of individuals from the population and follow that sample over time using recaptures, resightings, or dead recoveries. Marks can be natural, such as stripes, fin profiles, and even DNA; or artificial, such as spots on insects. Attached tags can, for example, be simple bands or streamers, or more sophisticated variants such as radio and sonic transmitters. To estimate population parameters, sophisticated and complex mathematical models have been devised on the basis of recapture information and computer packages. This book addresses the analysis of such models. It is primarily intended for ecologists and wildlife managers who wish to apply the methods to the types of problems discussed above, though it will also benefit researchers and graduate students in ecology. Familiarity with basic statistical concepts is essential.