Probability concepts and theory for engineers / Harry Schwarzlander.

Format:

Book

Author/Creator:

Schwarzlander, Harry.

Language:

English

Subjects (All):

Probabilities.

Electrical engineering--Mathematics.

Electrical engineering.

Physical Description:

1 online resource (623 p.)

Edition:

1st ed.

Place of Publication:

Chichester, West Sussex ; Hoboken, NJ : Wiley, 2011.

Language Note:

English

Summary:

A thorough introduction to the fundamentals of probability theory This book offers a detailed explanation of the basic models and mathematical principles used in applying probability theory to practical problems. It gives the reader a solid foundation for formulating and solving many kinds of probability problems for deriving additional results that may be needed in order to address more challenging questions, as well as for proceeding with the study of a wide variety of more advanced topics. Great care is devoted to a clear and detailed development of the 'conceptual

Contents:

PROBABILITY CONCEPTS AND THEORY FOR ENGINEERS; Contents; Preface; Introduction; Part I: The Basic Model; Part I: Introduction; SECTION 1: Dealing with 'Real-World' Problems; SECTION 2: The Probabilistic Experiment; SECTION 3: Outcome; SECTION 4: Events; SECTION 5: The Connection to the Mathematical World; SECTION 6: Elements and Sets; SECTION 7: Classes of Sets; SECTION 8: Elementary Set Operations; SECTION 9: Additional Set Operations; SECTION 10: Functions; SECTION 11: The Size of a Set; SECTION 12: Multiple and Infinite Set Operations; SECTION 13: More About Additive Classes

SECTION 14: Additive Set FunctionsSECTION 15: More about Probabilistic Experiments; SECTION 16: The Probability Function; SECTION 17: Probability Space; SECTION 18: Simple Probability Arithmetic; Part I: Summary; Part II: The Approach to Elementary Probability Problems; Part II: Introduction; SECTION 19: About Probability Problems; SECTION 20: Equally Likely Possible Outcomes; SECTION 21: Conditional Probability; SECTION 22: Conditional Probability Distributions; SECTION 23: Independent Events; SECTION 24: Classes of Independent Events

SECTION 25: Possible Outcomes Represented as Ordered k-TuplesSECTION 26: Product Experiments and Product Spaces; SECTION 27: Product Probability Spaces; SECTION 28: Dependence Between the Components in an Ordered k-Tuple; SECTION 29: Multiple Observations Without Regard to Order; SECTION 30: Unordered Sampling with Replacement; SECTION 31: More Complicated Discrete Probability Problems; SECTION 32: Uncertainty and Randomness; SECTION 33: Fuzziness; Part II: Summary; Part III: Introduction to Random Variables; Part III: Introduction; SECTION 34: Numerical-Valued Outcomes

SECTION 35: The Binomial DistributionSECTION 36: The Real Numbers; SECTION 37: General Definition of a Random Variable; SECTION 38: The Cumulative Distribution Function; SECTION 39: The Probability Density Function; SECTION 40: The Gaussian Distribution; SECTION 41: Two Discrete Random Variables; SECTION 42: Two Arbitrary Random Variables; SECTION 43: Two-Dimensional Distribution Functions; SECTION 44: Two-Dimensional Density Functions; SECTION 45: Two Statistically Independent Random Variables; SECTION 46: Two Statistically Independent Random Variables-Absolutely Continuous Case

Part III: SummaryPart IV: Transformations and Multiple Random Variables; Part IV: Introduction; SECTION 47: Transformation of a Random Variable; a) Transformation of a discrete random variable; b) Transformation of an arbitrary random variable; c) Transformation of an absolutely continuous random variable; SECTION 48: Transformation of a Two-Dimensional Random Variable; SECTION 49: The Sum of Two Discrete Random Variables; SECTION 50: The Sum of Two Arbitrary Random Variables; SECTION 51: n-Dimensional Random Variables; SECTION 52: Absolutely Continuous n-Dimensional R.V.'s

SECTION 53: Coordinate Transformations

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

0-470-97646-2

1-280-74515-0

9786613677754

0-470-97647-0

1-119-99089-0

OCLC:

701308689