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Probability and Statistics Applications for Environmental Science




ISBN 9780849375613
Published February 22, 2007 by CRC Press
367 Pages - 10 B/W Illustrations

 
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Book Description

Simple, clear, and to the point, Probability and Statistics Applications for Environmental Science delineates the fundamentals of statistics, imparting a basic understanding of the theory and mechanics of the calculations. User-friendliness, uncomplicated explanations, and coverage of example applications in the environmental field set this book apart from other textbooks on the same subject.

Striking a balance between theory and applied mathematics, the material is divided into three parts. Part I sets the stage with coverage of principles and fundamentals, such as set notation, probability distributions, and the estimation of the mean and variance. Part II discusses traditional statistics applications, centering around the uses of probability distributions, including how they relate to reliability and failure theory. The authors elucidate many of the important distributions, Monte Carlo methods, and fault and event trees. Part III delves into what some have come to define as contemporary statistics. It covers hypothesis testing, Student's t and chi-square tests, regression analysis, analysis of variance (ANOVA), and nonparametric tests.

The book's coverage is thorough, its presentation logical and geared to student's needs. It includes problems and solutions within the text and tables, a glossary of terms, and an introduction to design of experiments in the appendices. The authors, known for their meticulously accurate, articulate, and practical writing style, master the difficult task of explaining very complicated subject matter in a way that is easily understood. The book features a clear, concise presentation that makes both teaching and learning easier.

Table of Contents

FUNDAMENTALS
PAC. Permutations and Combinations
PDI. Probability Definitions and Interpretations
SNE. Set Notation
BTH. Basic Theorems
COP. Conditional Probability
RAR. Random Variables and Random Numbers
PDF. Introduction to Probability Distributions
EXV. Expected Values
EMV. Estimation of Mean and Variance

TRADITIONAL APPLICATIONS
BAY. Bayes' Theorem
SPS. Series and Parallel Systems
BIN. The Binomial Distribution
REL. Reliability Relations
HYP. Hypergeometric Distribution
POI. Poisson Distribution
EXP. Exponential Distribution
WBL. Weibull Distribution
NOR. Normal Distribution
LOG. Log-Normal Distribution
MON. Monte Carlo Simulation
FET. Fault Tree and Event Tree Analysis

CONTEMPORARY APPLICATIONS
CIM. Confidence Intervals for Means
CIP. Confidence Intervals for Proportions
HYT. Hypothesis Testing
TMP. Hypothesis Test for Means and Proportions
CHI. Chi-Square Distribution
FFF. The F Distribution
REG. Regression Analysis: Method of Least Squares
NPT. Nonparametric Tests
ANV. Analysis of Variance

Appendix A: Statistics Tables
Appendix B: Glossary of Terms
Appendix C: Introduction to Design of Experiments
Index

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Author(s)

Biography

Stacey J. Shaefer, Louis Theodore

Reviews

"This book is the first work that is devoted to the presentation of a practically applicable ecosystems theory. It integrates four aspects of systems ecology, namely, thermodynamics, biochemistry, hierarchical organization and network theory, all of which are illustrated by many examples and exercises to help students better understand the topics."
—Evelyne Bremond-Hoslet, in MAMMALIA, Vol. 77, N° 3 2013