Karian Zaven A. / Denison University
Dudewicz Edward J. / Syracuse University

Fitting Statistical Distributions:
The Generalized Lambda Distribution and Generalized Bootstrap Methods

Description

This book addresses a major problem in statistics that occurs throughout the physical and social sciences concerning the fitting of a statistical distribution to a set of data.
Because of this situation many investigators have proposed various schemes to address this problem. However, this creates an even knottier problem due to the fact that in a specific application there may be 39 or more applicable distributions. In this new book the authors discuss the use of the Generalized Lambda Distribution as well as the extended GLD which is an even more effective way of using the GLD to fit distributions to data. The book can be used as a text on GLD's at the graduate level in statistics or
by professionals working in statistics, engineering, the sciences and allied fields.

Audience

Professionals in science, engineering and allied disciplines. Faculty and students in graduate programs in Operations Research, Statistics, or Industrial Engineering-we expect some adoptions for specialized courses in these areas. All libraries that serve scientists, engineers, statisticians and others who collect and analyze data.

Contents

Preface
The Generalized Lambda Distribution
The Parameter Space of the GLD
The EGLD, an Extension of the GLD
Parameter Estimation: The Method of Moments
Parameter Estimation: A Method Based on Percentiles
Parameter Estimation: Least Squares Methods
Fitting Multimodal Distributions
Fitting Bivariate Distributions
Appendices
Bibliography
Index

Features

Brings together in one volume all the current research on the subject of the generalized Lambda distribution.
The theoretical background behind the concept of the GLD is presented for those readers unfamiliar with this material.
Emphasis will be included on the use of the GLD in fitting distributions to data that arise in a variety of scientific studies.
The most extensive tables ever published for the use of the GLD are included. Because of this we will include very extensive tables in the book as well as our internet site for
easy user access.
The book will contain many illustrative examples from a variety of disciplines to show the user the process of fitting GLD distriubutions to data.

Fitting Statistical Distributions: The Generalized Lambda Distribution and Generalized Bootstrap Methods
ISBN: 1584880694, No of pages: 0
Publication Date: 06/27/00

Koller Glenn

Risk Modeling for Determining Value and Decision Making

Description

Risk or uncertainty assessments are used as aids to decision making in nearly every aspect of business, education, and government. As a follow-up to the author's bestselling
Risk Assessment and Decision Making in Business and Industry: A Practical Guide, Risk Modeling for Determining Value and Decision Making presents comprehensive examples of risk/uncertainty analyses from a broad range of applications.
Decision/option selection Manufacturing
Environmental assessment Pricing
Identification of business drivers Production sharing
Insurance Scheduling and optimization
Investing Security
Law
Emphasizing value as the focus of risk assessment, this book offers discussions on how to make decisions using each risk model and what insights the model can provide. The presentation of each model also includes computer code that encapsulates its logic and direction on how to apply the model to other types of problems.
The author devotes a chapter to techniques for consistently collecting data in an inconsistent world and offers another chapter on how to reflect the effect of "soft" issues in the value of an opportunity. The book's final chapters delineate the techniques and technologies used to perform risk/uncertainty analyses, including sections on distribution, Monte Carlo process, dependence, sensitivity analysis, time series analysis, and chance of failure. Visit RiskSupport.com for more information!

Audience
Professionals working for energy companies, engineering firms, investment houses, governmental agencies, legal firms, and insurance companies

Contents
INTRODUCTION
TWO APPROACHES TO SOLVING DECISION TREES-A CLASS-ACTION SUIT EXAMPLE
TERRORISM RISK MODELS-RELATIVE AND ABSOLUTE RISK
GATHERING INFORMATION CONSISTENTLY IN AN INCONSISTENT WORLD
NEW MANUFACTURING FACILITY- BUSINESS-JUSTIFICATION MODEL
OIL-FIELD-DEVELOPMENT INVESTMENT-OPPORTUNITY RISK MODEL
USING CHANCE OF FAILURE AND RISK-WEIGHTED VALUES TO REFLECT THE EFFECT OF "SOFT" ISSUES ON THE VALUE OF AN OPPORTUNITY
PRODUCTION-SHARING AGREEMENT RISK MODEL
SCHEDULING AND OPTIMIZATION RISK MODEL
DECISION/OPTION-SELECTION RISK MODEL
RISK PROCESS TO IDENTIFY BUSINESS DRIVERS, MAXIMIZE VALUE, AND DETERMINE THE VALUE OF POTENTIAL EXPENDITURES
SUMMARY
BUILDING A CONSENSUS MODEL
BUILDING A CONTRIBUTING-FACTOR DIAGRAM
MONTE CARLO ANALYSIS
DECISIONS AND DISTRIBUTIONS
CHANCE OF FAILURE
TIME SERIES ANALYSIS AND DEPENDENCE
RISK-WEIGHTED VALUES AND SENSITIVITY ANALYSIS

Features
Written in plain English and in an easy to read, narrative style - keeps statistical jargon to a minimum
Explains and exemplifies state-of-the-art risk-related technologies
Focuses on the value of opportunities and using value to rank and prioritize them
Presents real-world examples from a broad range of applications

Risk Modeling for Determining Value and Decision Making
ISBN: 1584881674, No of pages: 0
Publication Date: 05/23/00

Bertram Barbara S / Constanda Christian / Struthers Allan A

Integral Methods in Science and Engineering

Description

The Proceedings of the Fifth International Conference on Integral Methods in Science and Engineering, form a collection of papers addressing the solution of mathematical problems from various physical domains by integral methods in conjunction with various approximation schemes. Written by acknowledged experts, these peer-reviewed papers offer recent developments in both theory and application valuable to applied mathematicians, engineers, and physicists.

Contents

Mathematical Modeling of N-Body Quantum Scattering Processes
Microhydrodynamics of Sharp Corners and Edges
Acoustic Scattering by Irregular Obstacles
On Generalized Inverse Steklov Problems
A Hybrid Root Finder
Volterra Type Integral Geometry Problems
Inversionof the X-Ray Transform and the Radon Transform with Incomplete Data
Reconstructing a Function by means of Integrals over a Family of Conical Surfaces
On the use of Wavelet Expansions and the Conjugate Gradient Method for Solving First Kind Integral Equations
Optimal Algorithms for the Calculation of Singular Integrals
An Order One Approximate Method of Solution of Differential and Integral Equations
A Multigrid Method for Solving Reaction-Diffusion Systems
Time-Dependent Bending of Plates with Transverse Shear Deformation
Polarization Gradient in Piezoelectric Micropolar Elasticity
Thermoelastic Stress Separation via Poisson Equation Solution by means of the Boundary Element Method
On Neutral Functional Differential Equations with Causal Operations
A Semi-Analytic Method for the Study of Acoustic Pulse Propagation in Inhomogeneous Elastic 1-D Media
Efficient Finite Elements for the Numerical Approximation of Cylindrical Shells
Error Estimates for Computing Fixed Densities of Markov Integral Operators
A Modified Monte Carlo Approach to the Approximation of Invariant Measures
Aion Waves in von K疵m疣 Plate Theory
Dynamics and Resonance of a Nonlinear Mechanical Oscillator Subjected to Parametric and External Excitation
On the Vibration of Helical Springs
A Two-Dimensional Numerical Model of Chemotaxis
Asymptotic Analysis of Fracture Theory for Layered Composites in Compression (The Plane Problem)
Existence and Regularity of Weak Solutions to the Displacement Boundary Value Problem of Nonlinear Elastostatics
On Convergence and Uniqueness of Microscale Heat Transfer Equation
On Numerical Approximations of a Frictionless Contact Problem for Elastic-Viscoplastic Materials
A Panel Clustering Method for 3-D Elastostatics using Spherical Harmonics
Extensions of Constrained Least-Squares for Obtaining Regularized Solutions to First-Kind Integral Equations
Existence and Nonexistence Results for some Boundary Value Problems at Resonance
Analytic Investigation of Thick Anisotropic Plates with Undulating Surfaces
On Stoke's Nonlinear Integral Wave Equation
Dynamics of the Spurt Phenomenon for Single History Integral Constitutive Equations
A Boundary Integral Equation Method for the Heat Equation
Computational Simulation and Interfacial Shear Models for Downward Annular Wavy-Interface Condensing Flow in a Vertical Pipe
Compact Fourth-Order Approximation for a Nonlinear Reaction-Diffusion Equation arising in Population Genetics
Dynamic Deformation of a Layered Continuum Surrounding a Cylindrical or Spherical Cavity
Boundary Value Problems for Harmonic Vector Fields on Non-Smooth Domains
The Oblique Derivative Problem for General Elliptic Systems in Lipschitz Domains
Viscous Aerodynamic Optimal Design of Flying Configurations via an Enlarged Variational Method
Interface Crack Problem for a Piecewise Homogeneous Anisotropic Plane
Micromechanics of Heterogeneous Materials
Admissibility and Optimal Control for Stochastic Difference Equations
Linear and Sublinear Tricomi via DFI
Multidimensional Fractional Integrals on Spaces of Smooth Functions
Piecewise Polynomial Projection Methods for Nonlinear, Multidimensional, Weakly Singular Integral Equations
Asymptotics and Inequalities for a Class of Infinite Sums
A New Theorem Concerning the Buckingham-Rayleigh Methods and General Dimensional Analysis
Energy Decay for a Weak Solution of the Non-Newtonian Fluid Equations with Slowly Varying External Forces
An Integral Representation for the Solution of 2-D Non-Stationary Flow of Micropolar Fluids
A Monotonically Convergent Adaptive Method for Nonlinear Combustion Problems
Stationary Oscillations of Elastic Plates with Robin Boundary Conditions
Adapter and Driver Design for Rotary Encoders
Expert System Design for Fault Diagnosing in CNC Machine Tools
Non-Ideal Liquid Solutions Modeling by means of Integral Methods
Symmetry Groups, Conservation Laws, and Group-Invariant Solutions of the Marguerre-von K疵m疣 Equations
Modeling the Motion of an Underwater Explosion Bubble
On some New Systems of N-ary Integral Equations
Computational Simulations and Flow Domain Classification for Laminar/Laminar annular/Stratified Condensing Flows

Features
The use of wavelet expansions Reaction-diffusion systems
Variational methods Fracture theory
Boundary value problems at resonance Inverse problems
Micromechanics Optimal control
Fluid mechanics Combustion problems
Potential methods Boundary element methods
Nonlinear problems Acoustics
Elasticity theory Population genetics
Plates and shells Integral equations
Hydrodynamics Scattering processes

Integral Methods in Science and Engineering
ISBN: 1584881461, No of pages: 376
Publication Date: 03/23/00

Bonate Peter L

Analysis of Pretest-Posttest Designs

Description

How do you analyze pretest-posttest data? Difference scores? Percent change scores? ANOVA? In medical, psychological, sociological, and educational studies, researchers often design experiments in which they collect baseline (pretest) data prior to randomization. However, they often find it difficult to decide which method of statistical analysis is most appropriate to use. Until now, consulting the available literature would prove a long and arduous task, with papers sparsely scattered throughout journals and textbook references few and far between.
Analysis of Pretest-Posttest Designs brings welcome relief from this conundrum. This one-stop reference - written specifically for researchers - answers the questions and helps clear the confusion about analyzing pretest-posttest data. Keeping derivations to a minimum and offering real life examples from a range of disciplines, the author gathers and elucidates the concepts and techniques most useful for studies incorporating baseline data.
Understand the pros and cons of different methods - ANOVA, ANCOVA, percent change, difference scores, and more Learn to choose the most appropriate statistical test - Numerous Monte Carlo simulations compare the various tests and help you select the one best suited to your data Tackle more difficult analyses - The extensive SAS code included saves you programming time and effort Requiring just a basic background in statistics and experimental design, this book incorporates most, if not all of the reference material that deals with pretest-posttest data.
If you use baseline data in your studies, Analysis of Pretest-Posttest Designs will save you time, increase your understanding, and ultimately improve the interpretation and analysis of your data.

Audience

Researchers, professionals, and students iine, biology, psychology, and sociology; Applied Statisticians

Contents
INTRODUCTION
MEASUREMENT CONCEPTS
DIFFERENCE SCORES
RELATIVE CHANGE FUNCTIONS
ANALYSIS OF COVARIANCE
BLOCKING TECHNIQUES
REPEATED MEASURES ANALYSIS OF VARIANCE
CHOOSING A STATISTICAL TEST
RANDOMIZATION TESTS
SPECIAL TOPICS: EQUALITY OF VARIANCE
APPENDIX: SAS Code

Features
Offers the first, comprehensive review of the statistical methods applicable to pretest-posttest data
Includes real-life examples and minimizes derivations - ideal for researchers and professionals in a variety of disciplines
Compares and contrasts different methods of analysis
Includes information on using SAS software to help analyze and interpret data

Analysis of Pretest-Posttest Designs
ISBN: 1584881739, No of pages: 0
Publication Date: 05/16/00

Chu Eleanor / George Alan

Inside the FFT Black Box: Serial and Parallel Fast Fourier Transform Algorithms

Description

Are some areas of fast Fourier transforms still unclear to you? Do the notation and vocabulary seem inconsistent? Does your knowledge of their algorithmic aspects feel incomplete? The fast Fourier transform represents one of the most important advancements in scientific and engineering computing. Until now, however, treatments have been either brief, cryptic, intimidating, or not published in the open literature. Inside the FFT Black Box brings the numerous and varied ideas together in a common notational framework, clarifying vague FFT concepts.
Examples and diagrams explain algorithms completely, with consistent notation. This approach connects the algorithms explicitly to the underlying mathematics. Reviews and explanations of FFT ideas taken from engineering, mathematics, and computer science journals teach the computational techniques relevant to FFT. Two appendices familiarize readers with the design and analysis of computer algorithms, as well.
This volume employs a unified and systematic approach to FFT. It closes the gap between brief textbook introductions and intimidating treatments in the FFT literature.
Inside the FFT Black Box provides an up-to-date, self-contained guide for learning the FFT and the multitude of ideas and computing techniques it employs.

Audience
Researchers, professors, and students in mathematics, computer science, and engineering

Contents
PRELIMINARIES
An Elementary Introduction to the Discrete Fourier Transform
Some Mathematical and Computational Preliminaries
SEQUENTIAL FFT ALGORITHMS
The Divide-and-Conquer Paradigm and Two Basic FFT Algorithms
Deciphering the Scrambled Output from In-Place FFT Computation
Bit-Reversed Input to the Radix-2 DIF FFT
Performing Bit-Reversal by Repeated Permutation of Intermediate Results
An In-Place Radix-2 DIT FFT for Input in Natural Order
An In-Place Radix-2 DIT FFT for Input in Bit-Reversed Order
An Ordered Radix-2 DIT FFT
Ordering Algorithms and Computer Implementation of Radix-2 FFTs
The Radix-4 and the Class of Radix-2s FFTs
The Mixed-Radix and Split-Radix FFTs
FFTs for Arbitrary N
FFTs for Real Input
FFTs for Composite N
Selected FFT Applications
PARALLEL FFT ALGORITHMS
Parallelizing the FFTs: Preliminaries on Data Mapping
Computing and Communications on Distributed-Memory Multiprocessors
Parallel FFTs without Inter-Processor Permutations
Parallel FFTs with Inter-Processor Permutations
A Potpourri of Variations on Parallel FFTs
Further Improvement and a Generalization of Parallel FFTs
Parallelizing Two-Dimensional FFTs
Computing and Distributing Twiddle Factors in the Parallel FFTs
APPENDICES
Fundamental Concepts of Efficient Scientific Computation
Solving Recurrence Equations by Substitution
Bibliography

Features

Bridges the gap between textbooks and the literature
Teaches up-to-date computational techniques relevant to the FFT-systematically reviews, explains, and unifies FFT ideas
Provides more detail on the algorithmic aspects of the FFT than any other book on the market
Serves as a self-teaching guide for learning not only the FFT, but also many widely applicable techniques in algorithm design and analysis, efficient numerical computation,
and scientific programming

Inside the FFT Black Box: Serial and Parallel Fast Fourier Transform Algorithms
ISBN: 0849302706, No of pages: 336
Publication Date: 11/11/99

Clark Douglas N. / University of Georgia

Dictionary of Analysis, Calculus, and Differential Equations

Description

Clear, rigorous definitions of mathematical terms are crucial to good scientific and technical writing-and to understanding the writings of others. Scientists, engineers, mathematicians, economists, technical writers, computer programmers, along with teachers, professors, and students, all have the occasional-if not frequent-need for comprehensible, working definitions of mathematical expressions.
To meet that need, CRC Press proudly introduces its Dictionary of Analysis, Calculus, and Differential Equations - the first published volume in the CRC Comprehensive
Dictionary of Mathematics. More than three years in development, top academics and professionals from prestigious institutions around the world bring you more than 2,500 detailed definitions, written in a clear, readable style and complete with alternative meanings, and related references.

Audience
Scientists, Engineers Mathematicians, Economists, Technical Writers, Computer Programmers, Students in all these disciplines

Contents
Alphabetic listing of more than 2,500 terms from the fields of analysis, calculus, and differential equations

Features
Over 2,500 detailed entries with clear, working definitions, alternative definitions, and related references
Definitions authored and reviewed by top international contributors
Self-contained entries that avoid, whenever possible, awkward cross-references

Dictionary of Analysis, Calculus, and Differential Equations
ISBN: 0849303206, No of pages: 288
Publication Date: 12/15/99