Non-Uniform Random Variate Generation

Non-Uniform Random Variate Generation PDF Author: Luc Devroye
Publisher: Springer Science & Business Media
ISBN: 1461386438
Category : Mathematics
Languages : en
Pages : 859

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Book Description
Thls text ls about one small fteld on the crossroads of statlstlcs, operatlons research and computer sclence. Statistleians need random number generators to test and compare estlmators before uslng them ln real l fe. In operatlons research, random numbers are a key component ln arge scale slmulatlons. Computer sclen tlsts need randomness ln program testlng, game playlng and comparlsons of algo rlthms. The appl catlons are wlde and varled. Yet all depend upon the same com puter generated random numbers. Usually, the randomness demanded by an appl catlon has some bullt-ln structure: typlcally, one needs more than just a sequence of Independent random blts or Independent uniform 0,1] random vari ables. Some users need random variables wlth unusual densltles, or random com blnatorlal objects wlth speclftc propertles, or random geometrlc objects, or ran dom processes wlth weil deftned dependence structures. Thls ls preclsely the sub ject area of the book, the study of non-uniform random varlates. The plot evolves around the expected complexlty of random varlate genera tlon algorlthms. We set up an ldeal zed computatlonal model (wlthout overdolng lt), we lntroduce the notlon of unlformly bounded expected complexlty, and we study upper and lower bounds for computatlonal complexlty. In short, a touch of computer sclence ls added to the fteld. To keep everythlng abstract, no tlmlngs or computer programs are lncluded. Thls was a Iabor of Iove. George Marsagl a created CS690, a course on ran dom number generat on at the School of Computer Sclence of McG ll Unlverslty."

Non-Uniform Random Variate Generation

Non-Uniform Random Variate Generation PDF Author: Luc Devroye
Publisher: Springer Science & Business Media
ISBN: 1461386438
Category : Mathematics
Languages : en
Pages : 859

Get Book Here

Book Description
Thls text ls about one small fteld on the crossroads of statlstlcs, operatlons research and computer sclence. Statistleians need random number generators to test and compare estlmators before uslng them ln real l fe. In operatlons research, random numbers are a key component ln arge scale slmulatlons. Computer sclen tlsts need randomness ln program testlng, game playlng and comparlsons of algo rlthms. The appl catlons are wlde and varled. Yet all depend upon the same com puter generated random numbers. Usually, the randomness demanded by an appl catlon has some bullt-ln structure: typlcally, one needs more than just a sequence of Independent random blts or Independent uniform 0,1] random vari ables. Some users need random variables wlth unusual densltles, or random com blnatorlal objects wlth speclftc propertles, or random geometrlc objects, or ran dom processes wlth weil deftned dependence structures. Thls ls preclsely the sub ject area of the book, the study of non-uniform random varlates. The plot evolves around the expected complexlty of random varlate genera tlon algorlthms. We set up an ldeal zed computatlonal model (wlthout overdolng lt), we lntroduce the notlon of unlformly bounded expected complexlty, and we study upper and lower bounds for computatlonal complexlty. In short, a touch of computer sclence ls added to the fteld. To keep everythlng abstract, no tlmlngs or computer programs are lncluded. Thls was a Iabor of Iove. George Marsagl a created CS690, a course on ran dom number generat on at the School of Computer Sclence of McG ll Unlverslty."

Automatic Nonuniform Random Variate Generation

Automatic Nonuniform Random Variate Generation PDF Author: Wolfgang Hörmann
Publisher: Springer Science & Business Media
ISBN: 3662059460
Category : Mathematics
Languages : en
Pages : 439

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Book Description
The recent concept of universal (also called automatic or black-box) random variate generation can only be found dispersed in the literature. Being unique in its overall organization, the book covers not only the mathematical and statistical theory but also deals with the implementation of such methods. All algorithms introduced in the book are designed for practical use in simulation and have been coded and made available by the authors. Examples of possible applications of the presented algorithms (including option pricing, VaR and Bayesian statistics) are presented at the end of the book.

Random Variate Generation Methods

Random Variate Generation Methods PDF Author: British Standards Institute Staff
Publisher:
ISBN: 9780580577871
Category :
Languages : en
Pages : 66

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Book Description
Statistical methods of analysis, Mathematical calculations, Formulae (mathematics), Random variables, Simulation, Numerical analysis, Probability theory, Data processing, Mathematical models, Experimental design, Computer programs

Random Variate Generation Methods

Random Variate Generation Methods PDF Author: International Organization for Standardization
Publisher:
ISBN:
Category :
Languages : en
Pages : 54

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Book Description


Bootstrapping and Related Techniques

Bootstrapping and Related Techniques PDF Author: Karl-Heinz Jöckel
Publisher: Springer Science & Business Media
ISBN: 3642488501
Category : Mathematics
Languages : en
Pages : 231

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Book Description
This book contains 30 selected, refereed papers from an in- ternational conference on bootstrapping and related techni- ques held in Trier 1990. Thepurpose of the book is to in- form about recent research in the area of bootstrap, jack- knife and Monte Carlo Tests. Addressing the novice and the expert it covers as well theoretical as practical aspects of these statistical techniques. Potential users in different disciplines as biometry, epidemiology, computer science, economics and sociology but also theoretical researchers s- hould consult the book to be informed on the state of the art in this area.

Principles of Random Variate Generation

Principles of Random Variate Generation PDF Author: John Dagpunar
Publisher: Oxford University Press, USA
ISBN:
Category : Language Arts & Disciplines
Languages : en
Pages : 256

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Book Description
An up-to-date account of the theory and practice of generating random variates from probability distributions is presented in this accessible text. After a brief introduction to simulation, the author discusses the general principles for generating and testing uniform and non-uniform variates. These techniques are applied to univariate and multivariate distributions, Markov processes, and order statistics. Dr. Dagpunar has included Fortran 77 programs for generating the more familiar distributions and a set of graphical aids for the manual generation of variates. Competing methods are also compared and their advantages and disadvantages discussed. In addition, algorithms throughout the book enable readers to generate variates from selected distributions, making this an invaluable guide for statisticians, operational researchers, computer scientists, and postgraduates engaged in computer simulation.

Problem-Based Learning: A Didactic Strategy in the Teaching of System Simulation

Problem-Based Learning: A Didactic Strategy in the Teaching of System Simulation PDF Author: Lorenzo Cevallos-Torres
Publisher: Springer
ISBN: 3030133931
Category : Technology & Engineering
Languages : en
Pages : 132

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Book Description
This book describes and outlines the theoretical foundations of system simulation in teaching, and as a practical contribution to teaching-and-learning models. It presents various methodologies used in teaching, the goal being to solve real-life problems by creating simulation models and probability distributions that allow correlations to be drawn between a real model and a simulated model. Moreover, the book demonstrates the role of simulation in decision-making processes connected to teaching and learning.

Random Number Generation and Monte Carlo Methods

Random Number Generation and Monte Carlo Methods PDF Author: James E. Gentle
Publisher: Springer Science & Business Media
ISBN: 147572960X
Category : Computers
Languages : en
Pages : 252

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Book Description
Monte Carlo simulation has become one of the most important tools in all fields of science. This book surveys the basic techniques and principles of the subject, as well as general techniques useful in more complicated models and in novel settings. The emphasis throughout is on practical methods that work well in current computing environments.

Computational Statistics Handbook with MATLAB

Computational Statistics Handbook with MATLAB PDF Author: Wendy L. Martinez
Publisher: CRC Press
ISBN: 1420010867
Category : Mathematics
Languages : en
Pages : 794

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Book Description
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

Performance, Reliability, and Availability Evaluation of Computational Systems, Volume I

Performance, Reliability, and Availability Evaluation of Computational Systems, Volume I PDF Author: Paulo Romero Martins Maciel
Publisher: CRC Press
ISBN: 1000643336
Category : Computers
Languages : en
Pages : 841

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Book Description
Covers performance, reliability, and availability evaluation for computing systems, although the methods may also be applied to other systems Provides a resource for computer performance professionals to support planning, design, configuring, and tuning the performance, reliability, and availability of computing systems Volume 1 includes coverage of fundamental concepts and performance modeling.