Environmental Risk Analysis: Probability Distribution Calculations, 1st Edition (Hardback) book cover

Environmental Risk Analysis

Probability Distribution Calculations, 1st Edition

By Louis Theodore

CRC Press

376 pages | 42 B/W Illus.

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Hardback: 9781498714396
pub: 2015-09-25
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A Training Tool for the Environmental Risk Professional

Environmental Risk Analysis: Probability Distribution Calculations defines the role that probability distributions play in risk analysis, and gives direction on how to measure and compare the magnitude of risk more efficiently. Designed for the practicing environmental engineer and scientist, this book clearly explains the key fundamentals, principles, and applications of probability distributions in environmental risk analysis.

Based on years of research and the author’s own experience, the book provides nearly 200 illustrative examples utilizing probability distributions, as well as numerous solved problems that involve applications in the manufacturing, chemical, refining, power/utilities, travel/aerospace, pharmaceutical, anti-terrorism/military, and nanotechnology industries. It offers an in-depth discussion of the Weibull distribution, which describes failure rate as a function of time. It also details the author’s recent efforts to improve on Weibull’s work, and covers other continuous probability distributions that can apply to risk assessment/analysis.

The book addresses environmental risk calculations that involve both discrete and continuous probability distributions. It focuses on discrete distributions that include binomial, multinomial, hypergeometric, and Poisson; and continuous distributions that include normal, lognormal, exponential, Weibull, F, and chi-square distribution.

  • Includes a complete overview of environmental risk and covers environmental risk-related topics
  • Presents a simplified approach to the industrial application of environmental risk analysis and probability distributions
  • Offers a practical understanding of environmental risk analysis calculations involving probability distributions

Environmental Risk Analysis: Probability Distribution Calculations provides a working knowledge of the principles and applications needed to solve real-world problems relevant to environmental risk analysis and probability distributions. This book serves as a valuable resource for practicing professionals in environmental science and engineering.


"This book differentiates itself from others in the field due to Lou Theodore’s practical and approachable presentation style. As an educator, Lou has an amazing ability to distill complex ideas down to their fundamental elements, making them much easier to understand. Moreover, the numerous illustrative examples provide the reader with a wealth of practical solutions to risk assessment problems relevant to the real world."

—Francesco Ricci, PhD Candidate in Chemical Engineering, Princeton University

"I like how the book explains the principles of probability distributions and then discusses techniques that are used to evaluate probability and risk as part of environmental risk analyses. It then goes on to provide illustrative examples of how the various techniques are used for specific situations in industrial settings. … a well-thought out tool for individuals who need a basic understanding of environmental risk analyses. … takes some of the mystery out of the derivation and uses of these statistical techniques."

—Leo H. Stander, PE, BCEE, Affiliation: Stander Environmental Engineering

"There is no more important topic today in environmental engineering than risk management. The understanding of risk management, as well as the ability to estimate/calculate, analyze, and manage risk problems, is imperative for practicing engineers and scientists. This book addresses all of the above. It captures many of the critical elements that one needs in assessing risk in the environmental engineering and science industries."

—Rita D’Aquino, Technical Editorial Consultant (Former Editor of CEP Magazine)

Table of Contents


Introduction to Environmental Risk

Environmental Risk Analysis

Introduction to Probability and Statistics

Introduction to Probability Distributions


Binomial Distribution

Multinomial Distribution

Hypergeometric Distribution

Poisson Distribution


Normal Distribution

Log-Normal Distribution

Exponential Distribution

Weibull Distribution

Other Continuous Probability Distributions


Chemicals and Refineries

Energy and Power

Manufacturing and Electronics


Military and Terrorism



About the Author

Louis Theodore, received his MChE and EngScD from New York University and a BChE from The Cooper Union, New York and has been a successful educator of Manhattan College over the past 55 years. Dr. Theodore has served as a consultant/expert witness for the U.S. Department of Justice and currently serves as a part-time consultant to the U.S. Environmental Protection Agency (USEPA). He is an internationally recognized lecturer who has published more than 100 text/reference books that include Pollution Prevention (CRC Press/Taylor & Francis Group) and Environmental Health and Hazard Risk Assessment: Principles and Calculations (CRC Press/Taylor & Francis Group).

Subject Categories

BISAC Subject Codes/Headings:
MATHEMATICS / Probability & Statistics / General
SCIENCE / Environmental Science
TECHNOLOGY & ENGINEERING / Environmental / General