MACSYMA for Statisticians

Fülszöveg

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Fülszöveg

Of related interest
PROBABILISTIC REASONING IN EXPERT SYSTEMS
Theory and Algorithms Richard E. Neapolitan
Addressing the theory and application of probabilistic techniques in the design of expert systems, this book provides a background in probability and graph theory and illustrates the use of probability calculus in modeling reasoning under uncertainty. Coverage includes subjective Bayesian analysis, the odds method, and the theoretical foundations of causal networks.
1990 (0 471-61840-3) 448 pp.
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This comprehensive book explains how to carry out basic and extensive programming projects within the context of the Lisp-Stat system, as well as how to use functional and object-oriented programming styles in statistical computing to develop new numerical and graphical models. The book addresses computations ranging from summary statistics through fitting linear and nonlinear regression models to general maximum likelihood estimation and approximate Bayesian computations. 1990 (0 471-50916-7) 416 pp.
WILEY-INTERSCIENCE ISBN D-MVl-bESTG-b
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MACSYMA, the computer program that allows mathematical tasks to be performed in terms of both numbers and formulas, has revolutionized the manipulation of large, complex mathematical computations. In those cases where it is applicable, MACSYMA allows users to move beyond a problem's computational complexity and perform faster, more accurate, less tedious mathematical manipulations.
MACSYMA for Statisticians is a step-by-step tutorial for both novice and experienced MACSYMA users who want to exploit this versatile program to its full potential. It moves gradually from the most basic MACSYMA procedures to more complicated computations. Beginning with manipulations of essential objects such as atomic variables, numbers, lists, functions, and arrays, the book moves on to describe and illustrate operations such as iteration, conditional branching, recursion, part selection, and substitution, followed by list, vector, matrix manipulation, storage management, and some advanced techniques such as pattern matching.
A wealth of examples and exercises (with answers) are incorporated into the book. Each example is followed by an explanation of the requisite MACSYMA techniques. A number of mathematical and statistical examples are presented for illustrative purposes. Among these are problems involving Hermite polynomials, Bernoulli and Stirling numbers, generating functions, moments, asymptotic expansions, maximizations, solutions of systems of equations, matrix inversion, generalized inverses, quadratic forms, set operations, and partitions. In solving these problems users will become aware of the range and variety of applications of MACSYMA and will develop the ability to apply these techniques in contexts of their own choice.
MACSYMA for Statisticians can be used as a self-tutorial or as a classroom textbook. It is designed for statisticians, probabilists, mathematicians and students in universities, and those in government and industry.
HART AND SAMUEL S. WILKS
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About the author
BARBARA HELLER, Associate Professor, joined the faculty of the Department of Mathematics, Illinois Institute of Technology in 1980 after receiving her doctorate in statistics from the University of Chicago. She has worked and published in the fields of mathematical statistics, environmental engineering, and statistical methods in neurobiology and has had an active career as a statistical consultant in biology, the physical sciences, and engineering. She is a member of the Institute of Mathematical Statistics, the American Statistical Association, SIAM, and the American Mathematical Society. Her interest in computer programs for symbolic manipulation arose originally in the course of developing goodness-of-fit tests for application to problems in environmental engineering and biology.
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