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Robust Method For Sensitivity Analysis In Simulation Model
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Book Synopsis Robust Method for Sensitivity Analysis in Simulation Model by : Huda Abdullah
Download or read book Robust Method for Sensitivity Analysis in Simulation Model written by Huda Abdullah and published by . This book was released on 2019 with total page 3 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kleijnen proposed using Ordinary Least Squares method combining with experimental design to estimate polynomial regression metamodels, but I/O data violates some classical assumptions of OLS as the correlation between output which due to common random numbers and Heterogeneous variances which caused by using different factor combinations. Thus Kleijnen and David referred to using repeated OLS (OLSR) or Generalized Least Squares (GLS) as a robust methods instead of OLS.In this study we compare these two methods using a simulation model M/M/1 which represented by a Queuing model in the repair and maintenance fields. We validated the estimated first order polynomial regression meta-model using adjusted R2 and Relative average absolute error, Our results demonstrate that As a result, OLSR is more efficient and more validation than GLS method.
Book Synopsis Global Sensitivity Analysis by : Andrea Saltelli
Download or read book Global Sensitivity Analysis written by Andrea Saltelli and published by John Wiley & Sons. This book was released on 2008-02-28 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex mathematical and computational models are used in all areas of society and technology and yet model based science is increasingly contested or refuted, especially when models are applied to controversial themes in domains such as health, the environment or the economy. More stringent standards of proofs are demanded from model-based numbers, especially when these numbers represent potential financial losses, threats to human health or the state of the environment. Quantitative sensitivity analysis is generally agreed to be one such standard. Mathematical models are good at mapping assumptions into inferences. A modeller makes assumptions about laws pertaining to the system, about its status and a plethora of other, often arcane, system variables and internal model settings. To what extent can we rely on the model-based inference when most of these assumptions are fraught with uncertainties? Global Sensitivity Analysis offers an accessible treatment of such problems via quantitative sensitivity analysis, beginning with the first principles and guiding the reader through the full range of recommended practices with a rich set of solved exercises. The text explains the motivation for sensitivity analysis, reviews the required statistical concepts, and provides a guide to potential applications. The book: Provides a self-contained treatment of the subject, allowing readers to learn and practice global sensitivity analysis without further materials. Presents ways to frame the analysis, interpret its results, and avoid potential pitfalls. Features numerous exercises and solved problems to help illustrate the applications. Is authored by leading sensitivity analysis practitioners, combining a range of disciplinary backgrounds. Postgraduate students and practitioners in a wide range of subjects, including statistics, mathematics, engineering, physics, chemistry, environmental sciences, biology, toxicology, actuarial sciences, and econometrics will find much of use here. This book will prove equally valuable to engineers working on risk analysis and to financial analysts concerned with pricing and hedging.
Book Synopsis Sensitivity Analysis by : Andrea Saltelli
Download or read book Sensitivity Analysis written by Andrea Saltelli and published by John Wiley & Sons. This book was released on 2000-10-03 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sensitivity analysis is used to ascertain how a given model output depends upon the input parameters. This is an important method for checking the quality of a given model, as well as a powerful tool for checking the robustness and reliability of its analysis. The topic is acknowledged as essential for good modelling practice, and is an implicit part of any modelling field. · Offers an accessible introduction to sensitivity analysis · Covers all the latest research · Illustrates concepts with numerous examples, applications and case studies · Includes contributions form the leading researchers active in developing strategies for sensitivity analysis The principles of sensitivity analysis area carefully described, and suitable methods for approaching many types of problems are given. The book introduces the modeller to the entire causal assessment chain, from data to predictions, whilst explaining the impact of source uncertainties and framing assumptions. A 'hitch-hiker's guide' is included to allow the more experienced reader to readily access specific applications. Modellers from a wide range of disciplines, including biostatistics, economics, environmental impact assessment, chemistry and engineering will benefit greatly form the numerous examples and applications.
Book Synopsis Sensitivity Analysis in Practice by : Andrea Saltelli
Download or read book Sensitivity Analysis in Practice written by Andrea Saltelli and published by John Wiley & Sons. This book was released on 2004-07-16 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sensitivity analysis should be considered a pre-requisite for statistical model building in any scientific discipline where modelling takes place. For a non-expert, choosing the method of analysis for their model is complex, and depends on a number of factors. This book guides the non-expert through their problem in order to enable them to choose and apply the most appropriate method. It offers a review of the state-of-the-art in sensitivity analysis, and is suitable for a wide range of practitioners. It is focussed on the use of SIMLAB – a widely distributed freely-available sensitivity analysis software package developed by the authors – for solving problems in sensitivity analysis of statistical models. Other key features: Provides an accessible overview of the current most widely used methods for sensitivity analysis. Opens with a detailed worked example to explain the motivation behind the book. Includes a range of examples to help illustrate the concepts discussed. Focuses on implementation of the methods in the software SIMLAB - a freely-available sensitivity analysis software package developed by the authors. Contains a large number of references to sources for further reading. Authored by the leading authorities on sensitivity analysis.
Book Synopsis Design and Analysis of Simulation Experiments by : Jack P.C. Kleijnen
Download or read book Design and Analysis of Simulation Experiments written by Jack P.C. Kleijnen and published by Springer. This book was released on 2015-07-01 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a new edition of Kleijnen’s advanced expository book on statistical methods for the Design and Analysis of Simulation Experiments (DASE). Altogether, this new edition has approximately 50% new material not in the original book. More specifically, the author has made significant changes to the book’s organization, including placing the chapter on Screening Designs immediately after the chapters on Classic Designs, and reversing the order of the chapters on Simulation Optimization and Kriging Metamodels. The latter two chapters reflect how active the research has been in these areas. The validation section has been moved into the chapter on Classic Assumptions versus Simulation Practice, and the chapter on Screening now has a section on selecting the number of replications in sequential bifurcation through Wald’s sequential probability ration test, as well as a section on sequential bifurcation for multiple types of simulation responses. Whereas all references in the original edition were placed at the end of the book, in this edition references are placed at the end of each chapter. From Reviews of the First Edition: “Jack Kleijnen has once again produced a cutting-edge approach to the design and analysis of simulation experiments.” (William E. BILES, JASA, June 2009, Vol. 104, No. 486)
Book Synopsis Approximation Methods for High Dimensional Simulation Results - Parameter Sensitivity Analysis and Propagation of Variations for Process Chains by : Daniela Steffes-lai
Download or read book Approximation Methods for High Dimensional Simulation Results - Parameter Sensitivity Analysis and Propagation of Variations for Process Chains written by Daniela Steffes-lai and published by Logos Verlag Berlin GmbH. This book was released on 2014 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work addresses the analysis of a sequential chain of processing steps, which is particularly important for the manufacture of robust product components. In each processing step, the material properties may have changed and distributions of related characteristics, for example, strains, may become inhomogeneous. For this reason, the history of the process including design-parameter uncertainties becomes relevant for subsequent processing steps. Therefore, we have developed a methodology, called PRO-CHAIN, which enables an efficient analysis, quantification, and propagation of uncertainties for complex process chains locally on the entire mesh. This innovative methodology has the objective to improve the overall forecast quality, specifically, in local regions of interest, while minimizing the computational effort of subsequent analysis steps. We have demonstrated the benefits and efficiency of the methodology proposed by means of real applications from the automotive industry.
Author :Agency for Health Care Research and Quality (U.S.) Publisher :Government Printing Office ISBN 13 :1587634236 Total Pages :236 pages Book Rating :4.5/5 (876 download)
Book Synopsis Developing a Protocol for Observational Comparative Effectiveness Research: A User's Guide by : Agency for Health Care Research and Quality (U.S.)
Download or read book Developing a Protocol for Observational Comparative Effectiveness Research: A User's Guide written by Agency for Health Care Research and Quality (U.S.) and published by Government Printing Office. This book was released on 2013-02-21 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This User’s Guide is a resource for investigators and stakeholders who develop and review observational comparative effectiveness research protocols. It explains how to (1) identify key considerations and best practices for research design; (2) build a protocol based on these standards and best practices; and (3) judge the adequacy and completeness of a protocol. Eleven chapters cover all aspects of research design, including: developing study objectives, defining and refining study questions, addressing the heterogeneity of treatment effect, characterizing exposure, selecting a comparator, defining and measuring outcomes, and identifying optimal data sources. Checklists of guidance and key considerations for protocols are provided at the end of each chapter. The User’s Guide was created by researchers affiliated with AHRQ’s Effective Health Care Program, particularly those who participated in AHRQ’s DEcIDE (Developing Evidence to Inform Decisions About Effectiveness) program. Chapters were subject to multiple internal and external independent reviews. More more information, please consult the Agency website: www.effectivehealthcare.ahrq.gov)
Book Synopsis Functional Sensitivity Analysis Method and Functionally Robust Optimization in Decision-making Under Uncertainty by :
Download or read book Functional Sensitivity Analysis Method and Functionally Robust Optimization in Decision-making Under Uncertainty written by and published by . This book was released on 2016 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis High Accuracy Surface Modeling Method: The Robustness by : Na Zhao
Download or read book High Accuracy Surface Modeling Method: The Robustness written by Na Zhao and published by Springer Nature. This book was released on 2021-08-11 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the robustness analysis of high accuracy surface modeling method (HASM) to yield good performance of it. Understanding the sensitivity and uncertainty is important in model applications. The book aims to advance an integral framework for assessing model error that can demonstrate robustness across sets of possible controls, variable definitions, standard error, algorithm structure, and functional forms. It is an essential reference to the most promising numerical models. In areas where there is less certainty about models, but also high expectations of transparency, robustness analysis should aspire to be as broad as possible. This book also contains a chapter at the end featuring applications in climate simulation illustrating different implementations of HASM in surface modeling. The book is helpful for people involved in geographical information science, ecological informatics, geography, earth observation, and planetary surface modeling.
Book Synopsis Physics Of Cancer, The: Research Advances by : Bernard S Gerstman
Download or read book Physics Of Cancer, The: Research Advances written by Bernard S Gerstman and published by World Scientific. This book was released on 2020-12-03 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cancer deaths per capita have decreased in recent years, but the improvement is attributed to prevention, not treatment. The difficulty in treating cancer may be due to its 'complexity', in the mathematical physics sense of the word. Tumors evolve and spread in response to internal and external factors that involve feedback mechanisms and nonlinear behavior. Investigations of the nonlinear interactions among cells, and between cells and their environment, are crucial for developing a sufficiently detailed understanding of the system's emergent phenomenology to be able to control the behavior. In the case of cancer, controlling the system's behavior will mean the ability to treat and cure the disease. Physicists have been studying various complex, nonlinear systems for many years using a variety of techniques. These investigations have provided insights that allow physicists to make unique contributions towards the treatment of cancer.This interdisciplinary book presents recent advancements in physicists' research on cancer. The work presented in this volume uses a variety of physical, biochemical, mathematical, theoretical, and computational techniques to gain a deeper molecular and cellular understanding of the horrific disease that is cancer.
Book Synopsis Robust Sensitivity Analysis for Multi-Attribute Deterministic Hierarchical Value Models by : Yucel R. Kahraman
Download or read book Robust Sensitivity Analysis for Multi-Attribute Deterministic Hierarchical Value Models written by Yucel R. Kahraman and published by . This book was released on 2002-03-01 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is a wide array of multi-attribute decision analysis methods and associated sensitivity analysis procedures in the literature. However, there is no detailed discussion of sensitivity analysis methods solely relating to additive hierarchical value models. The currently available methodology in the literature is unsophisticated and can be hard to implement into complex models. The methodology proposed in this research builds mathematical foundations for a robust sensitivity analysis approach and extends the current methodology to a more powerful form. The new methodology is easy to implement into complex hierarchical value models and gives flexible and dynamic capabilities to decision makers during sensitivity analysis. The mathematical notation is provided in this study along with applied examples to demonstrate this methodology. Global and local sensitivity analysis are considered and implemented using the proposed robust technique. This research provides consistency and a common standard for the decision analysis community for sensitivity analysis of multi-attribute deterministic hierarchical value models.
Book Synopsis Sensitivity Analysis Approach for Robust Probabilistic Risk Assessment by : Shahid Ahmed
Download or read book Sensitivity Analysis Approach for Robust Probabilistic Risk Assessment written by Shahid Ahmed and published by . This book was released on 1986 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Methods in Sensitivity Analysis and Shape Optimization by : Emmanuel Laporte
Download or read book Numerical Methods in Sensitivity Analysis and Shape Optimization written by Emmanuel Laporte and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sensitivity analysis and optimal shape design are key issues in engineering that have been affected by advances in numerical tools currently available. This book, and its supplementary online files, presents basic optimization techniques that can be used to compute the sensitivity of a given design to local change, or to improve its performance by local optimization of these data. The relevance and scope of these techniques have improved dramatically in recent years because of progress in discretization strategies, optimization algorithms, automatic differentiation, software availability, and the power of personal computers. Numerical Methods in Sensitivity Analysis and Shape Optimization will be of interest to graduate students involved in mathematical modeling and simulation, as well as engineers and researchers in applied mathematics looking for an up-to-date introduction to optimization techniques, sensitivity analysis, and optimal design.
Book Synopsis Toward a More Robust Variance-based Global Sensitivity Analysis of Model Outputs by :
Download or read book Toward a More Robust Variance-based Global Sensitivity Analysis of Model Outputs written by and published by . This book was released on 2007 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: Global sensitivity analysis (GSA) measures the variation of a model output as a function of the variations of the model inputs given their ranges. In this paper we consider variance-based GSA methods that do not rely on certain assumptions about the model structure such as linearity or monotonicity. These variance-based methods decompose the output variance into terms of increasing dimensionality called 'sensitivity indices', first introduced by Sobol' [25]. Sobol' developed a method of estimating these sensitivity indices using Monte Carlo simulations. McKay [13] proposed an efficient method using replicated Latin hypercube sampling to compute the 'correlation ratios' or 'main effects', which have been shown to be equivalent to Sobol's first-order sensitivity indices. Practical issues with using these variance estimators are how to choose adequate sample sizes and how to assess the accuracy of the results. This paper proposes a modified McKay main effect method featuring an adaptive procedure for accuracy assessment and improvement. We also extend our adaptive technique to the computation of second-order sensitivity indices. Details of the proposed adaptive procedure as wells as numerical results are included in this paper.
Book Synopsis Robust Methods in Regression Analysis – Theory and Application by : Robert Finger
Download or read book Robust Methods in Regression Analysis – Theory and Application written by Robert Finger and published by GRIN Verlag. This book was released on 2007-05-06 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: Diploma Thesis from the year 2006 in the subject Mathematics - Statistics, grade: 1.3, European University Viadrina Frankfurt (Oder) (Wirtschaftswissenschaftliche Fakultät), language: English, abstract: Regression Analysis is an important statistical tool for many applications. The most frequently used approach to Regression Analysis is the method of Ordinary Least Squares. But this method is vulnerable to outliers; even a single outlier can spoil the estimation completely. How can this vulnerability be described by theoretical concepts and are there alternatives? This thesis gives an overview over concepts and alternative approaches. The three fundamental approaches to Robustness (qualitative-, infinitesimal- and quantitative Robustness) are introduced in this thesis and are applied to different estimators. The estimators under study are measures of location, scale and regression. The Robustness approaches are important for the theoretical judgement of certain estimators but as well for the development of alternatives to classical estimators. This thesis focuses on the (Robustness-) performance of estimators if outliers occur within the data set. Measures of location and scale provide necessary steppingstones into the topic of Regression Analysis. In particular the median and trimming approaches are found to produce very robust results. These results are used in Regression Analysis to find alternatives to the method of Ordinary Least Squares. Its vulnerability can be overcome by applying the methods of Least Median of Squares or Least Trimmed Squares. Different outlier diagnostic tools are introduced to improve the poor efficiency of these Regression Techniques. Furthermore, this thesis delivers a simulation of some Regression Techniques on different situations in Regression Analysis. This simulation focuses in particular on changes in regression estimates if outliers occur in the data. Theoretically derived results as well as the results of the simulation lead to the recommendation of the method of Reweighted Least Squares. Applying this method frequently on problems of Regression Analysis provides outlier resistant and efficient estimates.
Book Synopsis Probabilistic Techniques in Exposure Assessment by : Alison C. Cullen
Download or read book Probabilistic Techniques in Exposure Assessment written by Alison C. Cullen and published by Springer Science & Business. This book was released on 1999-07-31 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this text, experts provide a complete sourcebook on methods for addressing variability and uncertainty in exposure analysis.
Book Synopsis Robust Methods in Biostatistics by : Stephane Heritier
Download or read book Robust Methods in Biostatistics written by Stephane Heritier and published by John Wiley & Sons. This book was released on 2009-05-11 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Robust statistics is an extension of classical statistics that specifically takes into account the concept that the underlying models used to describe data are only approximate. Its basic philosophy is to produce statistical procedures which are stable when the data do not exactly match the postulated models as it is the case for example with outliers. Robust Methods in Biostatistics proposes robust alternatives to common methods used in statistics in general and in biostatistics in particular and illustrates their use on many biomedical datasets. The methods introduced include robust estimation, testing, model selection, model check and diagnostics. They are developed for the following general classes of models: Linear regression Generalized linear models Linear mixed models Marginal longitudinal data models Cox survival analysis model The methods are introduced both at a theoretical and applied level within the framework of each general class of models, with a particular emphasis put on practical data analysis. This book is of particular use for research students,applied statisticians and practitioners in the health field interested in more stable statistical techniques. An accompanying website provides R code for computing all of the methods described, as well as for analyzing all the datasets used in the book.
