Results in Distribution Theory and Its Applications Inspired by Quantile Generated Probability Distributions

Results in Distribution Theory and Its Applications Inspired by Quantile Generated Probability Distributions
Author: Clement Ampadu
Publisher: Lulu.com
Total Pages: 106
Release: 2018-12
Genre: Science
ISBN: 0359249957

The q_T-X family of distributions induced by V is inspired by [Clement Boateng Ampadu, Quantile-Generated Family of Distributions: A New Method for Generating Continuous Distributions, Fundamental Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 1, 2018, Pages 13-34]. This book investigates some properties and applications of a somewhat dual to the EG T-X family of distributions that appeared in [Suleman Nasiru, Peter N. Mwita and Oscar Ngesa, Exponentiated Generalized Transformed-Transformer Family of Distributions, Journal of Statistical and Econometric Methods, vol.6, no.4, 2017, 1-17]. A notable feature of the book are the exercise sets, and the section "Further Developments", which invites the reader to begin his or her own investigative inquiry into quantile generated probability distributions.

Probability Distributions Used in Reliability Engineering

Probability Distributions Used in Reliability Engineering
Author: Andrew N O'Connor
Publisher: RIAC
Total Pages: 220
Release: 2011
Genre: Mathematics
ISBN: 1933904062

The book provides details on 22 probability distributions. Each distribution section provides a graphical visualization and formulas for distribution parameters, along with distribution formulas. Common statistics such as moments and percentile formulas are followed by likelihood functions and in many cases the derivation of maximum likelihood estimates. Bayesian non-informative and conjugate priors are provided followed by a discussion on the distribution characteristics and applications in reliability engineering.

High-Entropy Materials: Theory, Experiments, and Applications

High-Entropy Materials: Theory, Experiments, and Applications
Author: Jamieson Brechtl
Publisher: Springer Nature
Total Pages: 776
Release: 2022-01-03
Genre: Technology & Engineering
ISBN: 3030776417

This book discusses fundamental studies involving the history, modelling, simulation, experimental work, and applications on high-entropy materials. Topics include data-driven and machine-learning approaches, additive-manufacturing techniques, computational and analytical methods, such as density functional theory and multifractal analysis, mechanical behavior, high-throughput methods, and irradiation effects. The types of high-entropy materials consist of alloys, oxides, and ceramics. The book then concludes with a discussion on potential future applications of these novel materials.

G Families of Probability Distributions

G Families of Probability Distributions
Author: Mir Masoom Ali
Publisher: CRC Press
Total Pages: 365
Release: 2023-03-31
Genre: Mathematics
ISBN: 1000860353

Statistical distributions are essential tools to model the characteristics of datasets, such as right or left skewness, bi-modality or multi-modality observed in different applied sciences, such as engineering, medicine, and finance. The well-known distributions like normal, Weibull, gamma and Lindley are extensively used because of their simple forms and identifiability properties. In the last decade, researchers have focused on the more complex and flexible distributions, referred to as Generalized or simply G families of probability distributions, to increase the modelling capability of these distributions by adding one or more shape parameters. The main aim of this edited book is to present new contributions by researchers in the field of G families of probability distributions. The book will help researchers to: Develop new univariate continuous and discrete G families of probability distributions. Develop new bivariate continuous and discrete G families of probability distributions. Derive beneficial mathematical properties such as ordinary and incomplete moments, moment generating functions, residual life and reversed residual life functions, order statistics, quantile spread ordering and entropies, and some bivariate and multivariate extensions of the new and existing models using a simple-type copula.

Frontiers in Statistical Quality Control 10

Frontiers in Statistical Quality Control 10
Author: Hans-Joachim Lenz
Publisher: Springer Science & Business Media
Total Pages: 418
Release: 2012-08-04
Genre: Mathematics
ISBN: 3790828467

The 10th International Workshop on Intelligent Statistical Quality Control took place in Seattle, USA, Aug 18-20, 2010. It was hosted by Professor C. M. Mastrangelo, Department of Industrial and Systems Engineering, University of Washington, Seattle. The workshop was jointly organized by Professors H. J. Lenz, C. M. Mastrangelo, W. Schmid and P.T. Wilrich. The twenty-seven papers in this volume were carefully selected by the scientific program committee, reviewed by its members, revised by the authors and, finally, adapted for this volume by the editors. The book is divided into two parts: Part I "On-line Control" covers fields like control charting, monitoring and surveillance as well as acceptance sampling. Part II "Off-line Control" is devoted to experimental design, process capability analysis and data quality. The purpose of the book is on the one hand to provide insights into important new developments in the area of statistical quality control – especially surveillance and monitoring – and on the other hand to critically discuss methods used in on-line and off-line statistical quality control.

Hydrodynamics and Water Quality

Hydrodynamics and Water Quality
Author: Zhen-Gang Ji
Publisher: John Wiley & Sons
Total Pages: 614
Release: 2017-05-09
Genre: Technology & Engineering
ISBN: 1119371937

The primary reference for the modeling of hydrodynamics and water quality in rivers, lake, estuaries, coastal waters, and wetlands This comprehensive text perfectly illustrates the principles, basic processes, mathematical descriptions, case studies, and practical applications associated with surface waters. It focuses on solving practical problems in rivers, lakes, estuaries, coastal waters, and wetlands. Most of the theories and technical approaches presented within have been implemented in mathematical models and applied to solve practical problems. Throughout the book, case studies are presented to demonstrate how the basic theories and technical approaches are implemented into models, and how these models are applied to solve practical environmental/water resources problems. This new edition of Hydrodynamics and Water Quality: Modeling Rivers, Lakes, and Estuaries has been updated with more than 40% new information. It features several new chapters, including one devoted to shallow water processes in wetlands as well as another focused on extreme value theory and environmental risk analysis. It is also supplemented with a new website that provides files needed for sample applications, such as source codes, executable codes, input files, output files, model manuals, reports, technical notes, and utility programs. This new edition of the book: Includes more than 120 new/updated figures and 450 references Covers state-of-the-art hydrodynamics, sediment transport, toxics fate and transport, and water quality in surface waters Provides essential and updated information on mathematical models Focuses on how to solve practical problems in surface waters—presenting basic theories and technical approaches so that mathematical models can be understood and applied to simulate processes in surface waters Hailed as “a great addition to any university library” by the Journal of the American Water Resources Association (July 2009), Hydrodynamics and Water Quality, Second Edition is an essential reference for practicing engineers, scientists, and water resource managers worldwide.

Safety and Reliability. Theory and Applications

Safety and Reliability. Theory and Applications
Author: Marko Cepin
Publisher: CRC Press
Total Pages: 3668
Release: 2017-06-14
Genre: Technology & Engineering
ISBN: 1351809733

Safety and Reliability – Theory and Applications contains the contributions presented at the 27th European Safety and Reliability Conference (ESREL 2017, Portorož, Slovenia, June 18-22, 2017). The book covers a wide range of topics, including: • Accident and Incident modelling • Economic Analysis in Risk Management • Foundational Issues in Risk Assessment and Management • Human Factors and Human Reliability • Maintenance Modeling and Applications • Mathematical Methods in Reliability and Safety • Prognostics and System Health Management • Resilience Engineering • Risk Assessment • Risk Management • Simulation for Safety and Reliability Analysis • Structural Reliability • System Reliability, and • Uncertainty Analysis. Selected special sessions include contributions on: the Marie Skłodowska-Curie innovative training network in structural safety; risk approaches in insurance and fi nance sectors; dynamic reliability and probabilistic safety assessment; Bayesian and statistical methods, reliability data and testing; oganizational factors and safety culture; software reliability and safety; probabilistic methods applied to power systems; socio-technical-economic systems; advanced safety assessment methodologies: extended Probabilistic Safety Assessment; reliability; availability; maintainability and safety in railways: theory & practice; big data risk analysis and management, and model-based reliability and safety engineering. Safety and Reliability – Theory and Applications will be of interest to professionals and academics working in a wide range of industrial and governmental sectors including: Aeronautics and Aerospace, Automotive Engineering, Civil Engineering, Electrical and Electronic Engineering, Energy Production and Distribution, Environmental Engineering, Information Technology and Telecommunications, Critical Infrastructures, Insurance and Finance, Manufacturing, Marine Industry, Mechanical Engineering, Natural Hazards, Nuclear Engineering, Offshore Oil and Gas, Security and Protection, Transportation, and Policy Making.