rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    non sort: An
    title: introduction to probability theory and statistics
  name:
    name part: Rohatgi, V. K.
    name part: 1939-
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Saleh, A. K. Md. Ehsanes
    role:
      role term: author.
  name:
    name part: ebrary, Inc
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: nju
    date issued: 2015
    edition: Third edition.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource.
  table of contents: Title Page; Copyright Page; CONTENTS; PREFACE TO THE THIRD EDITION; PREFACE TO THE SECOND EDITION; PREFACE TO THE FIRST EDITION; ACKNOWLEDGMENTS; ENUMERATION OF THEOREMS AND REFERENCES; CHAPTER 1 PROBABILITY; 1.1 INTRODUCTION; 1.2 SAMPLE SPACE; 1.3 PROBABILITY AXIOMS; 1.4 COMBINATORICS: PROBABILITY ON FINITE SAMPLE SPACES; 1.5 CONDITIONAL PROBABILITY AND BAYES THEOREM; 1.6 INDEPENDENCE OF EVENTS; CHAPTER 2RANDOM VARIABLES AND THEIR PROBABILITY DISTRIBUTIONS; 2.1 INTRODUCTION; 2.2 RANDOM VARIABLES; 2.3 PROBABILITY DISTRIBUTION OF A RANDOM VARIABLE; 2.4 DISCRETE AND CONTINUOUS RANDOM VARIABLES
  table of contents: 2.5 FUNCTIONS OF A RANDOM VARIABLECHAPTER 3MOMENTS AND GENERATING FUNCTIONS; 3.1 INTRODUCTION; 3.2 MOMENTS OF A DISTRIBUTION FUNCTION; 3.3 GENERATING FUNCTIONS; 3.4 SOME MOMENT INEQUALITIES; CHAPTER 4MULTIPLE RANDOM VARIABLES; 4.1 INTRODUCTION; 4.2 MULTIPLE RANDOM VARIABLES; 4.3 INDEPENDENT RANDOM VARIABLES; 4.4 FUNCTIONS OF SEVERAL RANDOM VARIABLES; 4.5 COVARIANCE, CORRELATION AND MOMENTS; 4.6 CONDITIONAL EXPECTATION; 4.7 ORDER STATISTICS AND THEIR DISTRIBUTIONS; CHAPTER 5SOME SPECIAL DISTRIBUTIONS; 5.1 INTRODUCTION; 5.2 SOME DISCRETE DISTRIBUTIONS; 5.2.1 Degenerate Distribution
  table of contents: 5.2.2 Two-Point Distribution5.2.3 Uniform Distribution on n Points; 5.2.4 Binomial Distribution; 5.2.5 Negative Binomial Distribution (Pascal or Waiting Time Distribution); 5.2.6 Hypergeometric Distribution; 5.2.7 Negative Hypergeometric Distribution; 5.2.8 Poisson Distribution; 5.2.9 Multinomial Distribution; 5.2.10 Multivariate Hypergeometric Distribution; 5.2.11 Multivariate Negative Binomial Distribution; 5.3 SOME CONTINUOUS DISTRIBUTIONS; 5.3.1 Uniform Distribution (Rectangular Distribution); 5.3.2 Gamma Distribution; 5.3.3 Beta Distribution; 5.3.4 Cauchy Distribution
  table of contents: 5.3.5 Normal Distribution (the Gaussian Law)5.3.6 Some Other Continuous Distributions; 5.4 BIVARIATE AND MULTIVARIATE NORMAL DISTRIBUTIONS; 5.5 EXPONENTIAL FAMILY OF DISTRIBUTIONS; CHAPTER 6SAMPLE STATISTICS AND THEIR DISTRIBUTIONS; 6.1 INTRODUCTION; 6.2 RANDOM SAMPLING; 6.3 SAMPLE CHARACTERISTICS AND THEIR DISTRIBUTIONS; 6.4 CHI-SQUARE, t-, AND F-DISTRIBUTIONS: EXACT SAMPLINGDISTRIBUTIONS; 6.5 DISTRIBUTION OF (X,S2) IN SAMPLING FROM A NORMALPOPULATION; 6.6 SAMPLING FROM A BIVARIATE NORMAL DISTRIBUTION; CHAPTER 7BASIC ASYMPTOTICS: LARGE SAMPLE THEORY; 7.1 INTRODUCTION
  table of contents: 7.2 modes of convergence7.3 weak law of large numbers; 7.4 strong law of large numbers; 7.5 limiting moment generating functions; 7.6 central limit theorem; 7.7 large sample theory; chapter 8parametric point estimation; 8.1 introduction; 8.2 problem of point estimation; 8.3 sufficiency, completeness and ancillarity; 8.4 unbiased estimation; 8.5 unbiased estimation (continued): a lower bound forthe variance of an estimator; 8.6 substitution principle (method of moments); 8.7 maximum likelihood estimators; 8.8 bayes and minimax estimation; 8.9 principle of equivariance
  note: Vijay K. Rohatgi, A.K.Md. Ehsanes Saleh.
  note: Electronic resource.
  note: Includes bibliographical references and index.
  subject:
    topic: Probabilities
  subject:
    topic: Mathematical statistics
  classification: QA273 .R56 2015
  classification: 519.5
  related item:
    title info:
      title: Introduction to probability theory and mathematical statistics
    name:
      name part: Rohatgi, V. K., 1939-
    origin info:
      publisher: Hoboken, New Jersey : John Wiley & Sons, Inc., [2015]
      edition: 3rd edition.
    identifier: (DLC) 2015004848
  related item:
    title info:
      title: Wiley series in probability and statistics
  identifier: 9781118799659
  identifier: 1118799658
  identifier: 9781118799680
  identifier: 1118799682
  identifier: 9781118799642
  identifier: 111879964X
  identifier: 9781118799635
  identifier: 1118799631
  identifier: 2015005260
  identifier: https://ebookcentral.proquest.com/lib/tamucs/detail.action
  related item:
    location:
      url: https://ebookcentral.proquest.com/lib/tamucs/detail.action
  record info:
    record content source: NhCcYBP
    record creation date: 150206
    record change date: 20250816213928.9
    record identifier: in00003583166