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Probability in petroleum and environmental engineering / Leonid F. Khilyuk, George V. Chilingar, Herman H. Rieke

Author
Khilyuk, Leonid F.
Published
Houston, TX : Gulf Pub. Co., [2005]
Copyright Date
©2005
Physical Description
1 online resource (xv, 275 pages) : illustrations
Additional Creators
Chilingar, George V., 1929- and Rieke, Herman H.
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Language Note
English.
Contents
Front Cover; Probability in Petroleum and Environmental Engineering; Copyright Page; Dedication; Table of Contents; PREFACE; LIST OF NOTATIONS; CHAPTER 1. INTRODUCTION; THE APPROACH; OVERVIEW; INSTRUCTIONS; CHAPTER 2. EXPERIMENTS AND EVENTS; PRIMARY NOTIONS; ALGEBRA OF EVENTS; RELATION OF IMPLICATION; MAIN OPERATIONS WITH EVENTS; MAIN PROPERTIES OF THE OPERATIONS WITH EVENTS; THEOREM ON THE DECOMPOSITION OF AN EVENT INTO A COMPLETE SET OF EVENTS; INTERPRETATION OF ENVIRONMENTAL PHENOMENA AS EVENTS OF EXPERIMENTS; QUESTIONS AND EXERCISES; CHAPTER 3. SPACE OF ELEMENTARY EVENTS, PRELIMINARY REMARKSCOMPOSITION OF THE SPACE OF ELEMENTARY EVENTS; COMPOSITION OF THE SPACE OF ELEMENTARY EVENTS FOR AIR-QUALITY MONITORING AND FORECASTING; CHARACTERIZATION OF THE EUTROPHICATION OF A BAY WATER; QUESTIONS AND EXERCISES; CHAPTER 4. PROBABILITY OF RANDOM EVENTS; RANDOM EVENTS AND RANDOM EXPERIMENTS; THE CONCEPT OF PROBABILITY OF A RANDOM EVENT; ADEQUACY OF CHOSEN PROBABILISTIC SPACE TO THE GIVEN STOCHASTIC EXPERIMENT; COROLLARIES OF PROBABILITY AXIOMS; CLASSIC DEFINITION OF PROBABILITY; GEOMETRIC DEFINITION OF PROBABILITY; STATISTICAL DEFINITION OF PROBABILITY, QUESTIONS AND EXERCISESCHAPTER 5. CONDITIONAL PROBABILITY AND STOCHASTIC INDEPENDENCE; CONDITIONAL PROBABILITY; FORMULA OF TOTAL PROBABILITY; BAYES' FORMULA; EXAMPLES OF APPLICATION; INDEPENDENCE OF EVENTS; MULTISTAGE PROBABILISTIC ASSESSMENT OF FAILURE; SIMPLIFIED PROBABILISTIC MODEL FOR AIR-QUALITY FORECASTING; PROBABILITY OF A WATER-PURIFICATION SYSTEM BEING FUNCTIONAL; QUESTIONS AND EXERCISES; CHAPTER 6. BERNOULLI DISTRIBUTION AND SEQUENCES OF INDEPENDENT TRIALS; BERNOULLI (BINOMIAL) DISTRIBUTION; SEQUENCE OF INDEPENDENT TRIALS AND ITS MATHEMATICAL MODEL, PROBABILISTIC SPACE FOR A SEQUENCE OF INDEPENDENT EXPERIMENTSBERNOULLI SCHEME OF INDEPENDENT TRIALS; EXAMPLES OF APPLICATION; APPLICATION OF THE BERNOULLI SCHEME FOR AIR-QUALITY ASSESSMENT; QUESTIONS AND EXERCISES; CHAPTER 7. RANDOM VARIABLES AND DISTRIBUTION FUNCTIONS; QUANTITIES DEPENDING ON RANDOM EVENTS; MATHEMATICAL DEFINITION OF A RANDOM VARIABLE; EVENTS DEFINED BY RANDOM VARIABLES; INDEPENDENT RANDOM VARIABLES; DISTRIBUTION OF A RANDOM VARIABLE: THE DISTRIBUTION FUNCTION; GENERAL PROPERTIES OF DISTRIBUTION FUNCTIONS; DISCRETE RANDOM VARIABLES; CONTINUOUS RANDOM VARIABLES, and GENERAL PROPERTIES OF DISTRIBUTION DENSITYDISTRIBUTION FUNCTION AND DISTRIBUTION DENSITY OF FUNCTIONS OF RANDOM VARIABLES; EVALUATING PROBABILITY OF SOIL AND GROUNDWATER CONTAMINATION; QUESTIONS AND EXERCISES; CHAPTER 8. NUMERICAL CHARACTERISTICS OF RANDOM VARIABLES; INTRODUCTION; MATHEMATICAL EXPECTATION OF RANDOM VARIABLES; STATISTICAL MEANING OF MATHEMATICAL EXPECTATION; MAIN PROPERTIES OF MATHEMATICAL EXPECTATION; FUNCTIONS OF RANDOM VARIABLES; NONCORRELATED RANDOM VARIABLES; VARIANCE OF A RANDOM VARIABLE; MAIN PROPERTIES OF VARIANCE; OTHER CHARACTERISTICS OF DISPERSION
Summary
Written 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.
Subject(s)
Genre(s)
ISBN
9780976511304 (electronic bk.)
0976511304 (electronic bk.)
0127999701
9780127999708
1601191251
9781601191250
Bibliography Note
Includes bibliographical references and index.
View MARC record | catkey: 39311583