Advances in Combinatorial Methods in Probability & Statistics (Statistics for Industry and Technology) by N. Balakrishnan

Cover of: Advances in Combinatorial Methods in Probability & Statistics (Statistics for Industry and Technology) | N. Balakrishnan

Published by Birkhauser .

Written in English

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Subjects:

  • Applied mathematics,
  • Combinatorics & graph theory,
  • Probability & statistics,
  • Science/Mathematics,
  • Combinatorics,
  • Probabilities,
  • Mathematics,
  • Probability & Statistics - General,
  • Mathematics / Statistics,
  • probability,
  • statistics,
  • Mathematical statistics,
  • Combinatorial probabilities

Book details

The Physical Object
FormatHardcover
Number of Pages562
ID Numbers
Open LibraryOL8074578M
ISBN 10081763908X
ISBN 109780817639082

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Then you can start reading Kindle books on your smartphone, tablet, or computer. Advances in Combinatorial Methods and Applications to Probability and Statistics and all the hearty discussions we had during that journey. Combinatorics and applications of combinatorial methods in probability and statistics has become a very active and fertile area of research in the recent past.

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Editors (view affiliations) About this book. Combinatorics and applications of combinatorial methods in probability and statistics has become a very active and fertile area of research in the recent past. Advances in Combinatorial Methods and Applications to Probability and Statistics N.

Balakrishnan Editor Birkhäuser Boston • Basel • Berlin. Contents Preface xvii Sri Gopal Mohanty—Life and Works xix List of Contributors xxvii List of Tables xxxi List of Figures xxxiii.

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Balakrishnan Advances in Combinatorial Methods and Applications to Probability and Statistics. Support. About this book. A unique approach illustrating discrete distribution theory through combinatorial methods.

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TABLE OF CONTENTS SAMPLE SPACES 1 Further Properties 10 Counting Outcomes 13 Permutations 14 Combinations 21 CONDITIONAL PROBABILITY 45 Independent Events 63 DISCRETE RANDOM VARIABLES 71 Joint distributions 82 Independent random variables 91 Generating Random Numbers using the Inverse Method.

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We shall be concerned with a priori probabilities. These probabilities involve, many times, the counting of possible outcomes. Combinatorics is the study of discrete structures broadly speaking. Most notably, combinatorics involves studying the enumeration (counting) of said structures.

For example, the number of three-cycles in a given graph is a combinatorial problem, as is the derivation of a non-recursive formula for the Fibonacci numbers, and so too methods of solving the Rubiks cube.Statistics, in the modern sense of the word, began evolving in the 18th century in response to the novel needs of industrializing sovereign evolution of statistics was, in particular, intimately connected with the development of European states following the peace of Westphalia (), and with the development of probability theory, which put statistics on a firm theoretical basis.This text focuses on the most widely used applications of mathematical methods, including those related to probability and statistics.

The four-part treatment begins with algebra and analytic geometry and proceeds to an exploration of the calculus of algebraic functions and transcendental functions and applications.

edition. Includes figures and 18 tables.

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