C. Radhakrishna Rao

"C. R. Rao would be found in almost any statistician's list of five outstanding workers in the world of Mathematical Statistics today. His book represents a comprehensive account of the main body of results that comprise modern statistical theory." -W. G. Cochran "[C. R. Rao is] one of the pioneers who laid the foundations of statistics which grew from ad hoc origins into a firmly grounded mathematical science." -B. Efrom Translated into six major languages of the world, C. R. Rao's Linear Statistical Inference and Its Applications is one of the foremost works in statistical inference in the literature. Incorporating the important developments in the subject that have taken place in the last three decades, this paperback reprint of his classic work on statistical inference remains highly applicable to statistical analysis. Presenting the theory and techniques of statistical inference in a logically integrated and practical form, it covers: * The algebra of vectors and matrices * Probability theory, tools, and techniques * Continuous probability models * The theory of least squares and the analysis of variance * Criteria and methods of estimation * Large sample theory and methods * The theory of statistical inference * Multivariate normal distribution Written for the student and professional with a basic knowledge of statistics, this practical paperback edition gives this industry standard new life as a key resource for practicing statisticians and statisticians-in-training.

Linear Statistical Inference and its Applications

Helge Toutenburg

Christian Heumann

Shalabh

Revised and updated with the latest results, this Third Edition explores the theory and applications of linear models. The authors present a unified theory of inference from linear models and its generalizations with minimal assumptions. They not only use least squares theory, but also alternative methods of estimation and testing based on convex loss functions and general estimating equations. Highlights of coverage include sensitivity analysis and model selection, an analysis of incomplete data, an analysis of categorical data based on a unified presentation of generalized linear models, and an extensive appendix on matrix theory.

Least Squares and Alternatives

Linear Models and Generalizations

This book presents a theoretical treatment, as well as a summary ofpractical methods of computation, of the forces and moments that acton marine craft. Its aim is to provide the tools necessary for theprediction or simulation of craft motions in calm water and inwaves. In addition to developing the required equations, the authorgives relations that permit at least approximate evaluation of thecoefficients so that useful results can be obtained. The approachbegins with the equations of motion for rigid bodies, relative tofixed- and moving-coordinate systems; then, the hydrodynamic forcesare examined, starting with hydrostatics and progressing to the forceson a moving vehicle in calm water and (after a review of water-wavetheory) in waves. Several detailed examples are presented, includingcalculations of hydrostatics, horizontal- and vertical-planedirectional stability, and wave-induced motions. Also included areunique discussions on various effects, such as fin?hullinteractions, numerical stability of integrators, heavy torpedoes, andthe dynamics of high-speed craft. The book is intended to be anintroductory-level graduate text and a reference for the practicingprofessional.

C. Radhakrishna Rao

About

Books

Join the club