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Nonlinear Parameter Optimization Using R Tools

Author : John C. Nash
ISBN : 9781118883969
Genre : Mathematics
File Size : 69.78 MB
Format : PDF, ePub
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Nonlinear Parameter Optimization Using R John C. Nash, Telfer School of Management, University of Ottawa, Canada A systematic and comprehensive treatment of optimization software using R In recent decades, optimization techniques have been streamlined by computational and artificial intelligence methods to analyze more variables, especially under non–linear, multivariable conditions, more quickly than ever before. Optimization is an important tool for decision science and for the analysis of physical systems used in engineering. Nonlinear Parameter Optimization with R explores the principal tools available in R for function minimization, optimization, and nonlinear parameter determination and features numerous examples throughout. Nonlinear Parameter Optimization with R: Provides a comprehensive treatment of optimization techniques Examines optimization problems that arise in statistics and how to solve them using R Enables researchers and practitioners to solve parameter determination problems Presents traditional methods as well as recent developments in R Is supported by an accompanying website featuring R code, examples and datasets Researchers and practitioners who have to solve parameter determination problems who are users of R but are novices in the field optimization or function minimization will benefit from this book. It will also be useful for scientists building and estimating nonlinear models in various fields such as hydrology, sports forecasting, ecology, chemical engineering, pharmaco-kinetics, agriculture, economics and statistics.
Category: Mathematics

Statistical Data Cleaning With Applications In R

Author : Mark van der Loo
ISBN : 9781118897140
Genre : Computers
File Size : 64.56 MB
Format : PDF, Kindle
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A comprehensive guide to automated statistical data cleaning The production of clean data is a complex and time-consuming process that requires both technical know-how and statistical expertise. Statistical Data Cleaning brings together a wide range of techniques for cleaning textual, numeric or categorical data. This book examines technical data cleaning methods relating to data representation and data structure. A prominent role is given to statistical data validation, data cleaning based on predefined restrictions, and data cleaning strategy. Key features: Focuses on the automation of data cleaning methods, including both theory and applications written in R. Enables the reader to design data cleaning processes for either one-off analytical purposes or for setting up production systems that clean data on a regular basis. Explores statistical techniques for solving issues such as incompleteness, contradictions and outliers, integration of data cleaning components and quality monitoring. Supported by an accompanying website featuring data and R code. This book enables data scientists and statistical analysts working with data to deepen their understanding of data cleaning as well as to upgrade their practical data cleaning skills. It can also be used as material for a course in data cleaning and analyses.
Category: Computers

Foundations And Applications Of Statistics An Introduction Using R Second Edition

Author : Randall Pruim
ISBN : 9781470428488
Genre : Mathematical statistics
File Size : 39.95 MB
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Foundations and Applications of Statistics simultaneously emphasizes both the foundational and the computational aspects of modern statistics. Engaging and accessible, this book is useful to undergraduate students with a wide range of backgrounds and career goals. The exposition immediately begins with statistics, presenting concepts and results from probability along the way. Hypothesis testing is introduced very early, and the motivation for several probability distributions comes from p-value computations. Pruim develops the students' practical statistical reasoning through explicit examples and through numerical and graphical summaries of data that allow intuitive inferences before introducing the formal machinery. The topics have been selected to reflect the current practice in statistics, where computation is an indispensible tool. In this vein, the statistical computing environment R is used throughout the text and is integral to the exposition. Attention is paid to developing students' mathematical and computational skills as well as their statistical reasoning. Linear models, such as regression and ANOVA, are treated with explicit reference to the underlying linear algebra, which is motivated geometrically. Foundations and Applications of Statistics discusses both the mathematical theory underlying statistics and practical applications that make it a powerful tool across disciplines. The book contains ample material for a two-semester course in undergraduate probability and statistics. A one-semester course based on the book will cover hypothesis testing and confidence intervals for the most common situations. In the second edition, the R code has been updated throughout to take advantage of new R packages and to illustrate better coding style. New sections have been added covering bootstrap methods, multinomial and multivariate normal distributions, the delta method, numerical methods for Bayesian inference, and nonlinear least squares. Also, the use of matrix algebra has been expanded, but remains optional, providing instructors with more options regarding the amount of linear algebra required.
Category: Mathematical statistics

Tools For Drought Mitigation In Mediterranean Regions

Author : Giuseppe Rossi
ISBN : 9789401001298
Genre : Science
File Size : 52.8 MB
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Significant vulnerability of water systems to drought is a common issue of water resources management in Mediterranean regions. This is due both to the increasing occurrence and severity of drought events and to the growing demand for municipal, tourist, and agricultural uses. The INCO-DC project entitled "A Decision Support System for Mitigation of Drought Impacts in the Mediterranean Regions" (DSS DROUGHT) addresses this issue, contributing to an improved management of water supply systems for irrigation, which represents the most consumptive sector of water resources uses in the Mediterranean region. In order to develop a comprehensive approach toward improved operation of irrigation systems under drought conditions, the project was developed around the following five main, strictly interconnected tasks: Identification of drought characteristics at a site and over a region Modelling irrigation management under conditions of water scarcity Modelling operation of water supply systems under drought conditions Integration of the developed methodologies within a Decision Support System software package Definition of requisites for Drought Watch Systems The research resulted in an advancement of knowledge through in-depth analysis of innovative methodologies, the development of tools to help decision-makers in coping with droughts through the implementation of the developed procedures in software packages, and the application of these tools to the case-studies identified by partners in their countries.
Category: Science

Control Applications Of Nonlinear Programming And Optimization 1989

Author : Houria B. Siguerdidjane
ISBN : STANFORD:36105030065523
Genre : Technology & Engineering
File Size : 36.14 MB
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These Proceedings provide valuable information on the exchange of ideas between scientists who apply nonlinear programming and optimization to real world control problems and those who develop new methods, algorithms and software. The papers deal with windshear problems, optimization of aircraft and spacecraft trajectories, optimal control for robots, the optimization of urban traffic control, general mechanical systems, multilevel inventory systems and robust control.
Category: Technology & Engineering

Using R For Numerical Analysis In Science And Engineering

Author : Victor A. Bloomfield
ISBN : 9781439884492
Genre : Mathematics
File Size : 66.48 MB
Format : PDF, Docs
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Instead of presenting the standard theoretical treatments that underlie the various numerical methods used by scientists and engineers, Using R for Numerical Analysis in Science and Engineering shows how to use R and its add-on packages to obtain numerical solutions to the complex mathematical problems commonly faced by scientists and engineers. This practical guide to the capabilities of R demonstrates Monte Carlo, stochastic, deterministic, and other numerical methods through an abundance of worked examples and code, covering the solution of systems of linear algebraic equations and nonlinear equations as well as ordinary differential equations and partial differential equations. It not only shows how to use R’s powerful graphic tools to construct the types of plots most useful in scientific and engineering work, but also: Explains how to statistically analyze and fit data to linear and nonlinear models Explores numerical differentiation, integration, and optimization Describes how to find eigenvalues and eigenfunctions Discusses interpolation and curve fitting Considers the analysis of time series Using R for Numerical Analysis in Science and Engineering provides a solid introduction to the most useful numerical methods for scientific and engineering data analysis using R.
Category: Mathematics