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Statistical Computing

Sofort lieferbar | Lieferzeit: Sofort lieferbar I
ISBN-13:
9781351414586
Veröffentl:
2021
Seiten:
608
Autor:
William J. Kennedy
eBook Typ:
EPUB
eBook Format:
EPUB
Kopierschutz:
2 - DRM Adobe
Sprache:
Englisch
Beschreibung:

In this book the authors have assembled the "best techniques from a great variety of sources, establishing a benchmark for the field of statistical computing." ---Mathematics of Computation ." The text is highly readable and well illustrated with examples. The reader who intends to take a hand in designing his own regression and multivariate packages will find a storehouse of information and a valuable resource in the field of statistical computing.
Preface1/ IntroductionOrientationPurposePrerequisitesPresentation of Algorithms2/ Computer Organization2.1. Introduction2.2. Components of the Digital Computer System2.3 Representation of Numeric Values2.3.1 Integer Mode Representation2.3.2 Representation in Floating-Point Mode2.4 Floating- and Fixed- Point Arithmetic2.4.1 Floating-Point Arithmetic Operations2.4.2 Fixed-Point Arithmetic OperationsExercisesReferences3/ Error In Floating-Point Computation3.1 Introduction3.2 Types of Error3.3 Error Due to Approximation Imposed by the Computer3.4 Analyzing Error in a Finite Process3.5 Rounding Error in Floating-Point Computations3.6 Rounding Error in Two Common Floating-Point Calculations3.7 Condition and Numerical Stability3.8 Other Methods of Assessing Error in computation3.9 SummaryExercisesReferences4/ Programming and Statistical Software4.1 Programming Languages: Introduction4.2 Components of Programming Languages4.2.1 Data Types4.2.2 Data Structures4.2.3 Syntax4.2.4 Control Structures4.3 Program Development4.4 Statistical SoftwareReferences and Further Readings5/ Approximating Probabilities and Percentage Selected Probability Distributions5.1 Notation and General Considerations5.1.1 Probability Distributions5.1.2 Accuracy Considerations5.2 General Methods in Approximation5.2.1 Approximate Transformation of Random Variables5.2.2 Closed Form Approximations5.2.3 General Series Expansion5.2.4 Exact Relationship Between Distributions5.2.5 Numerical Root Finding5.2.6 Continued Fractions5.2.7 Gaussian Quadrature5.2.8 Newton-Cotes Quadrature5.3 The Normal Distribution5.3.1 Normal Probabilities5.3.2 Normal Percentage Points5.4 Student's t Distribution5.4.1 t Probabilities5.4.2 t-Percentage Points5.5 The Beta Distributions5.5.1 Evaluating

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