Probability Concepts and Theory for Engineers

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 model' which serves as the bridge between any real-world situation and its analysis by means of the mathematics of probability. Throughout the book, this conceptual model is not lost sight of. Random variables in one and several dimensions are treated in detail, including singular random variables, transformations, characteristic functions, and sequences. Also included are special topics not covered in many probability texts, such as fuzziness, entropy, spherically symmetric random variables, and copulas. Some special features of the book are: a unique step-by-step presentation organized into 86 topical Sections, which are grouped into six Parts over 200 diagrams augment and illustrate the text, which help speed the reader's comprehension of the material short answer review questions following each Section, with an answer table provided, strengthen the reader's detailed grasp of the material contained in the Section problems associated with each Section provide practice in applying the principles discussed, and in some cases extend the scope of that material an online separate solutions manual is available for course tutors. The various features of this textbook make it possible for engineering students to become well versed in the machinery' of probability theory. They also make the book a useful resource for self-study by practicing engineers and researchers who need a more thorough grasp of particular topics.

A thorough introduction to the fundamentals of probabilitytheoryThis book offers a detailed explanation of the basic models andmathematical principles used in applying probability theory topractical problems. It gives the reader a solid foundation forformulating and solving many kinds of probability problems forderiving additional results that may be needed in order to addressmore challenging questions, as well as for proceeding with thestudy of a wide variety of more advanced topics.Great care is devoted to a clear and detailed development of the'conceptual model' which serves as the bridge between anyreal-world situation and its analysis by means of the mathematicsof probability. Throughout the book, this conceptual model is notlost sight of. Random variables in one and several dimensions aretreated in detail, including singular random variablestransformations, characteristic functions, and sequences. Alsoincluded are special topics not covered in many probability textssuch as fuzziness, entropy, spherically symmetric random variablesand copulas.Some special features of the book are:* a unique step-by-step presentation organized into 86 topicalSections, which are grouped into six Parts* over 200 diagrams augment and illustrate the text, which helpspeed the reader's comprehension of the material* short answer review questions following each Section, with ananswer table provided, strengthen the reader's detailed grasp ofthe material contained in the Section* problems associated with each Section provide practice inapplying the principles discussed, and in some cases extend thescope of that material* an online separate solutions manual is available for coursetutors.The various features of this textbook make it possible forengineering students to become well versed in the 'machinery'of probability theory. They also make the book a useful resourcefor self-study by practicing engineers and researchers who need amore thorough grasp of particular topics.