Probabilities and Materials
Title | Probabilities and Materials PDF eBook |
Author | D. Breysse |
Publisher | Springer Science & Business Media |
Pages | 536 |
Release | 2012-12-06 |
Genre | Technology & Engineering |
ISBN | 9401111421 |
Most industrial and natural materials exhibit a macroscopic behaviour which results from the existence of microscale inhomogeneities. The influence of such inhomogeneities is commonly modelled using probabilistic methods. Most of the approaches to the evaluation of the safety of structures according to probabilistic criteria are somewhat scattered, however, and it is time to present such material in a coherent and up-to-date form. Probabilities and Materials undertakes this task, and also defines the great tasks that must be tackled in coming years. For engineers and researchers dealing with materials, geotechnics, solid mechanics, soil mechanics, statistics and stochastic processes. The expository nature of the book means that no prior knowledge of statistics or probability is required of the reader. The book can thus serve as an excellent introduction to the nature of applied statistics and stochastic modelling.
PROBAMAT-21st Century: Probabilities and Materials
Title | PROBAMAT-21st Century: Probabilities and Materials PDF eBook |
Author | G.N. Frantziskonis |
Publisher | Springer Science & Business Media |
Pages | 615 |
Release | 2012-12-06 |
Genre | Technology & Engineering |
ISBN | 9401152160 |
There are numerous technological materials - such as metals, polymers, ceramics, concrete, and many others - that vary in properties and serviceability. However, the almost universal common theme to most real materials is that their properties depend on the scale at which the analysis or observation takes place and at each scale "probabilities" play an important role. Here the word "probabilities" is used in a wider than the classical sense. In order to increase the efficiency and serviceability of these materials, researchers from NATO, CP and other countries were brought together to exchange knowledge and develop avenues for progress and applications in the st 21 century. The workshop began by reviewing progress in the subject area over the past few years and by identifying key questions that remain open. One point was how to observe/measure material properties at different scales and whether a probabilistic approach, at each scale, was always applicable and advantageous. The wide range of materials, from wood to advanced metals and from concrete to complex advanced composites, and the diversity of applications, e.g. fatigue, fracture, deformation, etc., were recognized as "obstacles" in identifying a "universal" approach.
Probability and Statistics
Title | Probability and Statistics PDF eBook |
Author | Michael J. Evans |
Publisher | Macmillan |
Pages | 704 |
Release | 2004 |
Genre | Mathematics |
ISBN | 9780716747420 |
Unlike traditional introductory math/stat textbooks, Probability and Statistics: The Science of Uncertainty brings a modern flavor based on incorporating the computer to the course and an integrated approach to inference. From the start the book integrates simulations into its theoretical coverage, and emphasizes the use of computer-powered computation throughout.* Math and science majors with just one year of calculus can use this text and experience a refreshing blend of applications and theory that goes beyond merely mastering the technicalities. They'll get a thorough grounding in probability theory, and go beyond that to the theory of statistical inference and its applications. An integrated approach to inference is presented that includes the frequency approach as well as Bayesian methodology. Bayesian inference is developed as a logical extension of likelihood methods. A separate chapter is devoted to the important topic of model checking and this is applied in the context of the standard applied statistical techniques. Examples of data analyses using real-world data are presented throughout the text. A final chapter introduces a number of the most important stochastic process models using elementary methods. *Note: An appendix in the book contains Minitab code for more involved computations. The code can be used by students as templates for their own calculations. If a software package like Minitab is used with the course then no programming is required by the students.
Introduction to Probability, Statistics, and Random Processes
Title | Introduction to Probability, Statistics, and Random Processes PDF eBook |
Author | Hossein Pishro-Nik |
Publisher | |
Pages | 746 |
Release | 2014-08-15 |
Genre | Probabilities |
ISBN | 9780990637202 |
The book covers basic concepts such as random experiments, probability axioms, conditional probability, and counting methods, single and multiple random variables (discrete, continuous, and mixed), as well as moment-generating functions, characteristic functions, random vectors, and inequalities; limit theorems and convergence; introduction to Bayesian and classical statistics; random processes including processing of random signals, Poisson processes, discrete-time and continuous-time Markov chains, and Brownian motion; simulation using MATLAB and R.
Introduction to Probability
Title | Introduction to Probability PDF eBook |
Author | David F. Anderson |
Publisher | Cambridge University Press |
Pages | 447 |
Release | 2017-11-02 |
Genre | Mathematics |
ISBN | 110824498X |
This classroom-tested textbook is an introduction to probability theory, with the right balance between mathematical precision, probabilistic intuition, and concrete applications. Introduction to Probability covers the material precisely, while avoiding excessive technical details. After introducing the basic vocabulary of randomness, including events, probabilities, and random variables, the text offers the reader a first glimpse of the major theorems of the subject: the law of large numbers and the central limit theorem. The important probability distributions are introduced organically as they arise from applications. The discrete and continuous sides of probability are treated together to emphasize their similarities. Intended for students with a calculus background, the text teaches not only the nuts and bolts of probability theory and how to solve specific problems, but also why the methods of solution work.
Concepts of Probability Theory
Title | Concepts of Probability Theory PDF eBook |
Author | Paul E. Pfeiffer |
Publisher | Courier Corporation |
Pages | 418 |
Release | 2013-05-13 |
Genre | Mathematics |
ISBN | 0486165663 |
Using the Kolmogorov model, this intermediate-level text discusses random variables, probability distributions, mathematical expectation, random processes, more. For advanced undergraduates students of science, engineering, or math. Includes problems with answers and six appendixes. 1965 edition.
Probability Through Problems
Title | Probability Through Problems PDF eBook |
Author | Marek Capinski |
Publisher | Springer Science & Business Media |
Pages | 262 |
Release | 2013-06-29 |
Genre | Mathematics |
ISBN | 0387216596 |
This book of problems is designed to challenge students learning probability. Each chapter is divided into three parts: Problems, Hints, and Solutions. All Problems sections include expository material, making the book self-contained. Definitions and statements of important results are interlaced with relevant problems. The only prerequisite is basic algebra and calculus.