A First Course in Probability
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A First Course in Probability

A First Course in Probability


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About the Book

The advancement of science in the twentieth century is marked by a special feature -- its transition from deterministic phenomena to probabilistic phenomena. For this reason the probability theory is introduced at the earliest possible level of any academic pursuit. Written at an introductory level, A First Course in Probability takes an intuitive approach to proving the ethereal existence of probability, developing the subject step-by-step to show the accessibility of probability theory. The authors provide hundreds of problems from almost all spheres of life to demonstrate how probability plays a decisive role. Numerous routine and simple examples are solved throughout the text to demonstrate various techniques of solving practical problems. The more difficult problems are solved at the end of each chapter under the heading, "Miscellaneous Examples," and these are useful in solving problems in different competitive examinations. Easy to understand and up-to-date, the text incorporates all the fundamental results while bringing forth the latest results. Some topics that can be avoided in the first reading are star-marked in the text.

Table of Contents:
PROBABILITY Introduction Algebra of Sets Properties of Functions Matrix Algebra Three Approaches Conditional Probability and Independence of Events Geometric Probability UNIVARIATE DISTRIBUTION Random Variable Expectation, Variance and Moments Moment Generating Function Characteristic Function and Cumulants Some Standard Discrete Distributions Some Standard Continuous Distributions Transformation of Variables BIVARIATE DISTRIBUTIONS Joint, Marginal and Conditional Distributions Moments, Conditional Moments Correlation and Regression Transformation of Variables Bivariate Normal Distribution Bivariate Dirichlet Distribution MULTIVARIATE DISTRIBUTIONS Different Aspects of a Multivariate Distribution X2, t and F-Distributions Correlation and Regression Some Standard Multivariate Distributions Order Statistics Some Notions of Dependence Results on Symmetrization LIMIT THEOREMS Chebyshev's Inequality Other Useful Inequalities Convergence in Distribution Convergence in Probability The Laws of Large Numbers Central Limit Theorems


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Product Details
  • ISBN-13: 9780849309434
  • Publisher: Taylor & Francis Inc
  • Publisher Imprint: CRC Press Inc
  • Height: 229 mm
  • No of Pages: 468
  • Returnable: N
  • Width: 152 mm
  • ISBN-10: 0849309433
  • Publisher Date: 30 Oct 2000
  • Binding: Hardback
  • Language: English
  • No of Pages: 468
  • Weight: 1098 gr


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