Probability in Petroleum and Environmental EngineeringWritten by three of the world's most renowned petroleum and environmental engineers, Probability in Petroleum and Environmental Engineering is the first book to offer the practicing engineer and engineering student new cutting-edge techniques for prediction and forecasting in petroleum engineering and environmental management. The authors combine a rigorous, yet easy-to-understand, approach to probability and how it is applied to petroleum and environmental engineering to solve multiple problems that engineers or geologists face every day. |
Contents
| 1 | |
| 9 | |
| 25 | |
CHAPTER 4 PROBABILITY OF RANDOM EVENTS | 41 |
CHAPTER 5 CONDITIONAL PROBABILITY AND STOCHASTIC INDEPENDENCE | 61 |
CHAPTER 6 BERNOULLI DISTRIBUTION AND SEQUENCES OF INDEPENDENT TRIALS | 75 |
CHAPTER 7 RANDOM VARIABLES AND DISTRIBUTION FUNCTIONS | 89 |
CHAPTER 8 NUMERICAL CHARACTERISTICS OF RANDOM VARIABLES | 111 |
CHAPTER 12 LIMIT THEOREMS OF THE PROBABILITY THEORY | 191 |
CHAPTER 13 PROBABILISTIC DECISION MAKING | 207 |
PRINCIPLES OF SET THEORY | 235 |
METHODS OF COUNTING | 245 |
STATISTICAL COMPARISON OF AN ORIGINAL DATA SET WITH ITS SUBSET IN OIL SPILL STUDIES | 249 |
STANDARD NORMAL DISTRIBUTION FUNCTION | 261 |
| 263 | |
| 269 | |
CHAPTER 9 NUMERICAL CHARACTERISTICS OF RANDOM VARIABLES | 129 |
CHAPTER 10 PROBABILITY DISTRIBUTIONS | 145 |
CHAPTER 11 PROBABILITY DISTRIBUTIONS | 163 |
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Common terms and phrases
air quality air-quality algebra of events application Assume Bernoulli scheme binomial calculate called central limit theorem Chapter chosen concentration concept conditional probability considered contamination continuous random variable corresponding decision rule defined definition of probability Denote die-rolling experiment distribution density distribution function F(x elementary events elements environmental equal equation estimate evaluate events of interest example Figure finite formula given experiment graph independent random variables interval Introduce large numbers law of large mathematical expectation mean risk measure ment mutually exclusive events n-subsets needs normal distribution notation number of events observations obtains occurred parameter Poisson distribution pollution possible probabilistic space probability of event probability theory problem quantile random events random vari real numbers sample sequence set of events solution space of elementary specific gravity stochastic experiment subsets sulfur dioxide Suppose Table tion total number variance Venn diagram X₁