Download or read book Analysis of Random Numbers from Four Uniform Random Number Generators written by Carl B. Bates and published by . This book was released on 1971 with total page 61 pages. Available in PDF, EPUB and Kindle. Book excerpt: The statistical properties of the numbers generated by four uniform random number generators are investigated. The properties investigated are the uniformity and the randomness of the sequence generated by each number generator. The Chi-square test is applied to the frequency distribution of the generated numbers to test for uniformity. Tuns tests and the serial test are used to test for randomness. The testing is performed on a sequence of 50,000 numbers generated by each uniform random number generator. (Author).
Download or read book Random Number Generators Principles and Practices written by David Johnston and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: Random Number Generators, Principles and Practices has been written for programmers, hardware engineers, and sophisticated hobbyists interested in understanding random numbers generators and gaining the tools necessary to work with random number generators with confidence and knowledge. Using an approach that employs clear diagrams and running code examples rather than excessive mathematics, random number related topics such as entropy estimation, entropy extraction, entropy sources, PRNGs, randomness testing, distribution generation, and many others are exposed and demystified. If you have ever Wondered how to test if data is really random Needed to measure the randomness of data in real time as it is generated Wondered how to get randomness into your programs Wondered whether or not a random number generator is trustworthy Wanted to be able to choose between random number generator solutions Needed to turn uniform random data into a different distribution Needed to ensure the random numbers from your computer will work for your cryptographic application Wanted to combine more than one random number generator to increase reliability or security Wanted to get random numbers in a floating point format Needed to verify that a random number generator meets the requirements of a published standard like SP800-90 or AIS 31 Needed to choose between an LCG, PCG or XorShift algorithm Then this might be the book for you.
Download or read book Uniform Random Numbers written by Shu Tezuka and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: In earlier forewords to the books in this series on Discrete Event Dynamic Systems (DEDS), we have dwelt on the pervasive nature of DEDS in our human-made world. From manufacturing plants to computer/communication networks, from traffic systems to command-and-control, modern civilization cannot function without the smooth operation of such systems. Yet mathemat ical tools for the analysis and synthesis of DEDS are nascent when compared to the well developed machinery of the continuous variable dynamic systems char acterized by differential equations. The performance evaluation tool of choice for DEDS is discrete event simulation both on account of its generality and its explicit incorporation of randomness. As it is well known to students of simulation, the heart of the random event simulation is the uniform random number generator. Not so well known to the practitioners are the philosophical and mathematical bases of generating "random" number sequence from deterministic algorithms. This editor can still recall his own painful introduction to the issues during the early 80's when he attempted to do the first perturbation analysis (PA) experiments on a per sonal computer which, unbeknownst to him, had a random number generator with a period of only 32,768 numbers. It is no exaggeration to say that the development of PA was derailed for some time due to this ignorance of the fundamentals of random number generation.
Download or read book Monte Carlo Simulation in the Radiological Sciences written by Richard L. Morin and published by CRC Press. This book was released on 2019-06-04 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: First Published in 1988, this book offers a full exploration into the applications of the Monte Carlo Simulation. Carefully compiled and filled with a vast repertoire of notes, diagrams, and references this book serves as a useful reference for Students of Radiology, and other practitioners in their respective fields.
Download or read book Biostatistical Design and Analysis Using R written by Dr Murray Logan and published by John Wiley & Sons. This book was released on 2011-09-20 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: R — the statistical and graphical environment is rapidly emerging as an important set of teaching and research tools for biologists. This book draws upon the popularity and free availability of R to couple the theory and practice of biostatistics into a single treatment, so as to provide a textbook for biologists learning statistics, R, or both. An abridged description of biostatistical principles and analysis sequence keys are combined together with worked examples of the practical use of R into a complete practical guide to designing and analyzing real biological research. Topics covered include: simple hypothesis testing, graphing exploratory data analysis and graphical summaries regression (linear, multi and non-linear) simple and complex ANOVA and ANCOVA designs (including nested, factorial, blocking, spit-plot and repeated measures) frequency analysis and generalized linear models. Linear mixed effects modeling is also incorporated extensively throughout as an alternative to traditional modeling techniques. The book is accompanied by a companion website www.wiley.com/go/logan/r with an extensive set of resources comprising all R scripts and data sets used in the book, additional worked examples, the biology package, and other instructional materials and links.
Download or read book Analysis of Uniform Random Numbers Generated by Randu and Urn Ten Different Seeds written by Carl B. Bates and published by . This book was released on 1973 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: The statistical properties of the numbers generated by two uniform random number generators, RANDU and URN, each using ten different seeds are investigated. The properties investigated are the uniformity and the randomness of the sequence generated by each number generator. The Chi-square test is applied to the frequency distribution of the generated numbers to test for uniformity. Runs tests and the serial test are used to test for randomness. The testing is performed on a sequence of 50,000 numbers generated by each uniform random number generator using each of the ten seeds. (Author).
Download or read book The Birnbaum Saunders Distribution written by Victor Leiva and published by Academic Press. This book was released on 2015-10-26 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Birnbaum-Saunders Distribution presents the statistical theory, methodology, and applications of the Birnbaum-Saunders distribution, a very flexible distribution for modeling different types of data (mainly lifetime data). The book describes the most recent theoretical developments of this model, including properties, transformations and related distributions, lifetime analysis, and shape analysis. It discusses methods of inference based on uncensored and censored data, goodness-of-fit tests, and random number generation algorithms for the Birnbaum-Saunders distribution, also presenting existing and future applications. Introduces inference in the Birnbaum-Saunders distribution Provides a comprehensive review of the statistical theory and methodology of the Birnbaum-Distribution Discusses different applications of the Birnbaum-Saunders distribution Explains characterization and the lifetime analysis
Download or read book Design and Analysis of Algorithms written by Parag Himanshu Dave and published by Pearson Education India. This book was released on 1900 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt: Design and Analysis of Algorithms is the outcome of teaching, research and consultancy done by the authors over more than two decades. All aspects pertaining to algorithm design and algorithm analysis have been discussed over the chapters.
Download or read book System Simulation and Modeling written by Sankar Sengupta and published by Pearson Education India. This book was released on 2014 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer simulation models a real-life or hypothetical situation on a computer to study how the system works. System Simulation and Modelingdiscusses system modeling and simulation through examples and applications from computer systems, statistics, manufacturing and insurance. It discusses materials for building a simulation model, evaluating results and taking decisions based on results. Also, Arena and step-by-step approach to convert a problem statement into an Arena simulation model are discussed along with commercially-available software on simulation like GPSS, SIMSCRIPT and DYNAMO.
Download or read book Generation and Testing of Random Numbers of an Arbitrary Distribution written by Norman A. Vaa and published by . This book was released on 1962 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: (U) Given a method of generating independent random uniform numbers on the unit interval, two methods of generating independent random normal numbers, one method to generate exponential random numbers and one method to generate independent random numbers from the chi-square distribution are presented. All four methods are programmed in FORTRAN on the CDC 1604 high speed digital computer, and tested by a battery of statistical tests. Results of the tests are given in summarized form. (Author).
Download or read book Random Number Generation and Quasi Monte Carlo Methods written by Harald Niederreiter and published by SIAM. This book was released on 1992-01-01 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tremendous progress has taken place in the related areas of uniform pseudorandom number generation and quasi-Monte Carlo methods in the last five years. This volume contains recent important work in these two areas, and stresses the interplay between them. Some developments contained here have never before appeared in book form. Includes the discussion of the integrated treatment of pseudorandom numbers and quasi-Monte Carlo methods; the systematic development of the theory of lattice rules and the theory of nets and (t,s)-sequences; the construction of new and better low-discrepancy point sets and sequences; Nonlinear congruential methods; the initiation of a systematic study of methods for pseudorandom vector generation; and shift-register pseudorandom numbers. Based on a series of 10 lectures presented by the author at a CBMS-NSF Regional Conference at the University of Alaska at Fairbanks in 1990 to a selected group of researchers, this volume includes background material to make the information more accessible to nonspecialists.
Download or read book Computational Statistics Handbook with MATLAB written by Wendy L. Martinez and published by CRC Press. This book was released on 2007-12-20 with total page 794 pages. Available in PDF, EPUB and Kindle. Book excerpt: As with the bestselling first edition, Computational Statistics Handbook with MATLAB, Second Edition covers some of the most commonly used contemporary techniques in computational statistics. With a strong, practical focus on implementing the methods, the authors include algorithmic descriptions of the procedures as well as
Download or read book Introduction to Probability Models written by Sheldon M. Ross and published by Academic Press. This book was released on 2006-12-11 with total page 801 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Probability Models, Tenth Edition, provides an introduction to elementary probability theory and stochastic processes. There are two approaches to the study of probability theory. One is heuristic and nonrigorous, and attempts to develop in students an intuitive feel for the subject that enables him or her to think probabilistically. The other approach attempts a rigorous development of probability by using the tools of measure theory. The first approach is employed in this text. The book begins by introducing basic concepts of probability theory, such as the random variable, conditional probability, and conditional expectation. This is followed by discussions of stochastic processes, including Markov chains and Poison processes. The remaining chapters cover queuing, reliability theory, Brownian motion, and simulation. Many examples are worked out throughout the text, along with exercises to be solved by students. This book will be particularly useful to those interested in learning how probability theory can be applied to the study of phenomena in fields such as engineering, computer science, management science, the physical and social sciences, and operations research. Ideally, this text would be used in a one-year course in probability models, or a one-semester course in introductory probability theory or a course in elementary stochastic processes. New to this Edition: 65% new chapter material including coverage of finite capacity queues, insurance risk models and Markov chains Contains compulsory material for new Exam 3 of the Society of Actuaries containing several sections in the new exams Updated data, and a list of commonly used notations and equations, a robust ancillary package, including a ISM, SSM, and test bank Includes SPSS PASW Modeler and SAS JMP software packages which are widely used in the field Hallmark features: Superior writing style Excellent exercises and examples covering the wide breadth of coverage of probability topics Real-world applications in engineering, science, business and economics
Download or read book Random Number Generation and Monte Carlo Methods written by James E. Gentle and published by Springer Science & Business Media. This book was released on 2006-04-18 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: Monte Carlo simulation has become one of the most important tools in all fields of science. Simulation methodology relies on a good source of numbers that appear to be random. These "pseudorandom" numbers must pass statistical tests just as random samples would. Methods for producing pseudorandom numbers and transforming those numbers to simulate samples from various distributions are among the most important topics in statistical computing. This book surveys techniques of random number generation and the use of random numbers in Monte Carlo simulation. The book covers basic principles, as well as newer methods such as parallel random number generation, nonlinear congruential generators, quasi Monte Carlo methods, and Markov chain Monte Carlo. The best methods for generating random variates from the standard distributions are presented, but also general techniques useful in more complicated models and in novel settings are described. The emphasis throughout the book is on practical methods that work well in current computing environments. The book includes exercises and can be used as a test or supplementary text for various courses in modern statistics. It could serve as the primary test for a specialized course in statistical computing, or as a supplementary text for a course in computational statistics and other areas of modern statistics that rely on simulation. The book, which covers recent developments in the field, could also serve as a useful reference for practitioners. Although some familiarity with probability and statistics is assumed, the book is accessible to a broad audience. The second edition is approximately 50% longer than the first edition. It includes advances in methods for parallel random number generation, universal methods for generation of nonuniform variates, perfect sampling, and software for random number generation.
Download or read book Computer Aided Design and Design Automation written by Wai-Kai Chen and published by CRC Press. This book was released on 2018-03-12 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of The Circuits and Filters Handbook, Third Edition focuses on computer aided design and design automation. In the first part of the book, international contributors address topics such as the modeling of circuit performances, symbolic analysis methods, numerical analysis methods, design by optimization, statistical design optimization, and physical design automation. In the second half of the text, they turn their attention to RF CAD, high performance simulation, formal verification, RTK behavioral synthesis, system-level design, an Internet-based micro-electronic design automation framework, performance modeling, and embedded computing systems design.
Download or read book Business Statistics written by Ken Black and published by John Wiley & Sons. This book was released on 2011-10-25 with total page 929 pages. Available in PDF, EPUB and Kindle. Book excerpt: Black's latest outstanding pedagogy of Business Statistics includes the use of extra problems called "Demonstration Problems" to provide additional insight and explanation to working problems, and presents concepts, topics, formulas, and application in a manner that is palatable to a vast audience and minimizes the use of "scary" formulas. Every chapter opens up with a vignette called a "Decision Dilemma" about real companies, data, and business issues. Solutions to these dilemmas are presented as a feature called "Decision Dilemma Solved." In this edition all cases and "Decision Dilemmas" are updated and revised and 1/3 have been replaced for currency. There is also a significant number of additional problems and an extremely competitive collection of databases (containing real data) on: international stock markets, consumer food, international labor, financial, energy, agribusiness, 12-year gasoline, manufacturing, and hospital.
Download or read book Mathematics and Technology written by Christiane Rousseau and published by Springer Science & Business Media. This book was released on 2008-10-29 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the student to numerous modern applications of mathematics in technology. The authors write with clarity and present the mathematics in a clear and straightforward way making it an interesting and easy book to read. Numerous exercises at the end of every section provide practice and reinforce the material in the chapter. An engaging quality of this book is that the authors also present the mathematical material in a historical context and not just the practical one. Mathematics and Technology is intended for undergraduate students in mathematics, instructors and high school teachers. Additionally, its lack of calculus centricity as well as a clear indication of the more difficult topics and relatively advanced references make it suitable for any curious individual with a decent command of high school math.
