Fundamentals of Probability and Statistics for Engineers

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John Wiley & Sons, Mar 26, 2004 - Mathematics - 400 pages
This textbook differs from others in the field in that it has been prepared very much with students and their needs in mind, having been classroom tested over many years. It is a true “learner’s book” made for students who require a deeper understanding of probability and statistics. It presents the fundamentals of the subject along with concepts of probabilistic modelling, and the process of model selection, verification and analysis. Furthermore, the inclusion of more than 100 examples and 200 exercises (carefully selected from a wide range of topics), along with a solutions manual for instructors, means that this text is of real value to students and lecturers across a range of engineering disciplines.

Key features:

  • Presents the fundamentals in probability and statistics along with relevant applications.
  • Explains the concept of probabilistic modelling and the process of model selection, verification and analysis.
  • Definitions and theorems are carefully stated and topics rigorously treated.
  • Includes a chapter on regression analysis.
  • Covers design of experiments.
  • Demonstrates practical problem solving throughout the book with numerous examples and exercises purposely selected from a variety of engineering fields.
  • Includes an accompanying online Solutions Manual for instructors containing complete step-by-step solutions to all problems.
 

Contents

BASIC PROBABILITY CONCEPTS
7
RANDOM VARIABLES AND PROBABILITY
37
EXPECTATIONS AND MOMENTS
75
FUNCTIONS OF RANDOM VARIABLES
119
SOME IMPORTANT DISCRETE DISTRIBUTIONS
161
SOME IMPORTANT CONTINUOUS DISTRIBUTIONS
191
OBSERVED DATA AND GRAPHICAL REPRESENTATION
247
PARAMETER ESTIMATION
259
ChiSquared Distribution with n Degrees of Freedom
371
D2 Distribution with Sample Size n
372
References
373
COMPUTER SOFTWARE
375
ANSWERS TO SELECTED PROBLEMS
379
Chapter 3
380
Chapter 4
381
Chapter 5
382

MODEL VERIFICATION
315
LINEAR MODELS AND LINEAR REGRESSION
335
TABLES
365
Poisson Mass Function
367
Standardized Normal Distribution Function
369
Students t Distribution with n Degrees of Freedom
370
Chapter 6
384
Chapter 7
385
Chapter 10
386
SUBJECT INDEX
389
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About the author (2004)

T. T. Soong is the author of Fundamentals of Probability and Statistics for Engineers, published by Wiley.

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