Quantile Based Reliability Analysis

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Quantile Based Reliability Analysis
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Author : N. Unnikrishnan Nair
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-08-24
Quantile Based Reliability Analysis written by N. Unnikrishnan Nair and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-24 with Mathematics categories.
This book provides a fresh approach to reliability theory, an area that has gained increasing relevance in fields from statistics and engineering to demography and insurance. Its innovative use of quantile functions gives an analysis of lifetime data that is generally simpler, more robust, and more accurate than the traditional methods, and opens the door for further research in a wide variety of fields involving statistical analysis. In addition, the book can be used to good effect in the classroom as a text for advanced undergraduate and graduate courses in Reliability and Statistics.
Reliability Modelling With Information Measures
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Author : N. Unnikrishnan Nair
language : en
Publisher: CRC Press
Release Date : 2022-11-17
Reliability Modelling With Information Measures written by N. Unnikrishnan Nair and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-17 with Business & Economics categories.
The book deals with the application of various measures of information like the entropy, divergence, inaccuracy, etc. in modelling lifetimes of devices or equipment in reliability analysis. This is an emerging area of study and research during the last two decades and is of potential interest in many fields. In this work the classical measures of uncertainty are sufficiently modified to meet the needs of lifetime data analysis. The book provides an exhaustive collection of materials in a single volume to make it a comprehensive source of reference. The first treatise on the subject. It brings together the work that have appeared in journals on different disciplines. It will serve as a text for graduate students and practioners of special studies in information theory, as well as statistics and as a reference book for researchers. The book contains illustrative examples, tables and figures for clarifying the concepts and methodologies, the book is self-contained. It helps students to access information relevant to careers in industry, engineering, applied statistics, etc.
Statistics For Data Science And Policy Analysis
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Author : Azizur Rahman
language : en
Publisher: Springer Nature
Release Date : 2020-03-31
Statistics For Data Science And Policy Analysis written by Azizur Rahman and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-31 with Mathematics categories.
This book brings together the best contributions of the Applied Statistics and Policy Analysis Conference 2019. Written by leading international experts in the field of statistics, data science and policy evaluation. This book explores the theme of effective policy methods through the use of big data, accurate estimates and modern computing tools and statistical modelling.
Aerospace System Analysis And Optimization In Uncertainty
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Author : Loïc Brevault
language : en
Publisher: Springer Nature
Release Date : 2020-08-26
Aerospace System Analysis And Optimization In Uncertainty written by Loïc Brevault and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-26 with Mathematics categories.
Spotlighting the field of Multidisciplinary Design Optimization (MDO), this book illustrates and implements state-of-the-art methodologies within the complex process of aerospace system design under uncertainties. The book provides approaches to integrating a multitude of components and constraints with the ultimate goal of reducing design cycles. Insights on a vast assortment of problems are provided, including discipline modeling, sensitivity analysis, uncertainty propagation, reliability analysis, and global multidisciplinary optimization. The extensive range of topics covered include areas of current open research. This Work is destined to become a fundamental reference for aerospace systems engineers, researchers, as well as for practitioners and engineers working in areas of optimization and uncertainty. Part I is largely comprised of fundamentals. Part II presents methodologies for single discipline problems with a review of existing uncertainty propagation, reliability analysis, and optimization techniques. Part III is dedicated to the uncertainty-based MDO and related issues. Part IV deals with three MDO related issues: the multifidelity, the multi-objective optimization and the mixed continuous/discrete optimization and Part V is devoted to test cases for aerospace vehicle design.
Quantile Based Reliability Analysis And Design In Slope Stability
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Author : Sukhdeep Singh
language : en
Publisher:
Release Date : 2018
Quantile Based Reliability Analysis And Design In Slope Stability written by Sukhdeep Singh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with categories.
The study and analysis of slopes are essential for understanding their performance and, in particular, their stability, reliability, and deformations. Traditional slope stability analysis involves predicting the location of the critical slip surface for a given slope and computing a safety factor at that location, which belongs to the deterministic frame. It is found that multiple sources of uncertainties often exist in the evaluation of slope stability. When assessing the stability of slopes in the face of risks, it is desirable, and sometimes necessary, to adopt reliability-based approaches that consider these uncertainties explicitly. The thesis develops an efficient methodology of soil modeling using maximum entropy based quantile distribution constrained by probability weighted moments, conducts field vane shear soil testing in the Nipigon river area and establishes the soil strength models. The research proposes a new reliability-based method to study the stability of the Nipigon river slope and carries out a reliability-based design of slopes by combining quantile-based reliability and multi-objective optimization. In general, the probability distribution describes the randomness of soil parameters collected empirically or tested by the few numbers of collected soil samples. However, the substantial effect of sample size on the estimation of random properties of the soil strength requires an extensive data to explore uncertainties, which is uneconomical and sometimes impossible to obtain. This study aims to consolidate recent advancement in probabilistic characterization and develops an inverse cumulative distribution function (ICDF) or quantile distribution, for direct quantification of the actual variability of various soil samples. Based on the analysis, a framework is developed that streamlines the formulation of probability weighted moments (PWM), and maximum entropy (MaxEnt) based distribution function for various soil properties when estimated using different field or laboratory tests, leading to a reliable procedure for applications of the proposed framework to different site characterization problems. Examples are provided to illustrate the implementation and step-by-step procedures of the proposed framework. This research further extends the reliability approach for slope stability problems and utilizes the first-order reliability method (FORM) with quantiles for improving the efficiency of the FORM with relatively small samples. Reliability analysis is combined with deterministic slope stability analysis and implemented using an efficient algorithm. The analysis is validated through comparison with other reliability methods and used to explore the effect of variability of the soil properties on slope system. It is found that, when variability of soil properties is defined by assuming a conventional distribution, the variance of factor of safety is overestimated or underestimated. The approach not only provides sufficiently accurate reliability estimates of slope stability but also significantly improves the computational efficiency of soil slope design in comparison with conventional design methods.
Applications Of Statistics And Probability In Civil Engineering
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Author : Michael Faber
language : en
Publisher: CRC Press
Release Date : 2011-07-15
Applications Of Statistics And Probability In Civil Engineering written by Michael Faber and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-15 with Technology & Engineering categories.
Under the pressure of harsh environmental conditions and natural hazards, large parts of the world population are struggling to maintain their livelihoods. Population growth, increasing land utilization and shrinking natural resources have led to an increasing demand of improved efficiency of existing technologies and the development of new ones. A
Stochastic Structural Optimization
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Author : Makoto Yamakawa
language : en
Publisher: CRC Press
Release Date : 2023-08-08
Stochastic Structural Optimization written by Makoto Yamakawa and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-08 with Technology & Engineering categories.
Stochastic Structural Optimization presents a comprehensive picture of robust design optimization of structures, focused on nonparametric stochastic-based methodologies. Good practical structural design accounts for uncertainty, for which reliability-based design offers a standard approach, usually incorporating assumptions on probability functions which are often unknown. By comparison, a worst-case approach with bounded support used as a robust design offers simplicity and a lower level of sensitivity. Linking structural optimization with these two approaches by a unified framework of non-parametric stochastic methodologies provides a rigorous theoretical background and high level of practicality. This text shows how to use this theoretical framework in civil and mechanical engineering practice to design a safe structure which accounts for uncertainty. Connects theory with practice in the robust design optimization of structures Advanced enough to support sound practical designs This book provides comprehensive coverage for engineers and graduate students in civil and mechanical engineering. Makoto Yamakawa is a Professor at Tokyo University of Science, and a member of the Advisory Board of the 2020 Asian Congress of Structural and Multidisciplinary Optimization. Makoto Ohsaki is a Professor at Kyoto University, Japan, treasurer of the International Association for Shell & Spatial Structures and former President of the Asian Society for Structural and Multidisciplinary Optimization.
Probability Models In Reliability Analysis
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Author : S. P. Mukherjee
language : en
Publisher: Springer Nature
Release Date : 2025-07-01
Probability Models In Reliability Analysis written by S. P. Mukherjee and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-01 with Mathematics categories.
This book delves into the fundamental theoretical aspects of reliability analysis, focusing on various probabilistic models. These models are essential for representing random variations in underlying variables such as time-to-failure, the number of failures between consecutive repairs and similar metrics. The calculation, estimation and prediction of reliability all hinge on using appropriate probability models. The book introduces various models beneficial for researchers in the field of reliability. It also provides a comprehensive overview of the available models, highlighting their distinctive features and practical applications in a narrative format. The content of the book is designed to appeal to a broad readership. Students and researchers in the field of reliability analysis will find a comprehensive yet easily understandable summary of models applicable to their data sets of interest. It should be noted, however, As stated clearly in the preface, this book does not illustrate applications of the models discussed in terms of real-life data.
Reliability Based Analysis And Design Of Structures And Infrastructure
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Author : Ehsan Noroozinejad Farsangi
language : en
Publisher: CRC Press
Release Date : 2021-09-27
Reliability Based Analysis And Design Of Structures And Infrastructure written by Ehsan Noroozinejad Farsangi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-27 with Technology & Engineering categories.
Increasing demand on improving the resiliency of modern structures and infrastructure requires ever more critical and complex designs. Therefore, the need for accurate and efficient approaches to assess uncertainties in loads, geometry, material properties, manufacturing processes, and operational environments has increased significantly. Reliability-based techniques help develop more accurate initial guidance for robust design and help to identify the sources of significant uncertainty in structural systems. Reliability-Based Analysis and Design of Structures and Infrastructure presents an overview of the methods of classical reliability analysis and design most associated with structural reliability. It also introduces more modern methods and advancements, and emphasizes the most useful methods and techniques used in reliability and risk studies, while elaborating their practical applications and limitations rather than detailed derivations. Features: Provides a practical and comprehensive overview of reliability and risk analysis and design techniques. Introduces resilient and smart structures/infrastructure that will lead to more reliable and sustainable societies. Considers loss elimination, risk management and life-cycle asset management as related to infrastructure projects. Introduces probability theory, statistical methods, and reliability analysis methods. Reliability-Based Analysis and Design of Structures and Infrastructure is suitable for researchers and practicing engineers, as well as upper-level students taking related courses in structural reliability analysis and design.
Proceedings Of The Canadian Society Of Civil Engineering Annual Conference 2021
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Author : Scott Walbridge
language : en
Publisher: Springer Nature
Release Date : 2022-05-31
Proceedings Of The Canadian Society Of Civil Engineering Annual Conference 2021 written by Scott Walbridge and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-31 with Technology & Engineering categories.
This book comprises the proceedings of the Annual Conference of the Canadian Society of Civil Engineering 2021. The contents of this volume focus on specialty conferences in construction, environmental, hydrotechnical, materials, structures, transportation engineering, etc. This volume will prove a valuable resource for those in academia and industry.