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Page: 103
 
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  • TITLE
  • CERTIFICATE
  • DECLARATION
  • ACKNOWLEDGEMENT
  • ABSTRACT
  • CONTENTS
  • 1. A RESUME
  • 1.1 Introduction
  • 1.2 Dirichlet Distributions
  • 1.3 Some Applications of Dirichlet Models
  • 1.4 Some Extensions of Dirichlet Models
  • 1.5 Characterization and Estimation
  • 1.6 Matrix-variate Dirichlet Models
  • References
  • 2. EXTENSION OF TYPE-1 DIRICHLETMODEL
  • 2.1 Introduction
  • 2.2 Generalized Type-1 Dirichlet Model
  • 2.3 Matrix-variate Generalized Type-1 Dirichlet Model
  • References
  • 3. EXTENSION OF TYPE-2 DIRICHLETMODEL
  • 3.1 Introduction
  • 3.1.1 Some properties
  • 3.2 Matrix-Variate Generalized Type-2 Dirichlet Model
  • 3.2.1 Some properties
  • 3.2.2 Moments and related properties
  • References
  • 4. APPLICATIONS TO MULTIVARIATEANALYSIS
  • 4.1 Introduction
  • 4.2 Distribution of the Likelihood Ratio Statistic
  • 4.3 Distribution of A - Criterion for Sphericity Test
  • References
  • 5. APPLICATIONS TO GEOMETRICALPROBABILITY
  • 5.1 Introduction
  • 5.2 Distribution
  • 5.3 Connection to Likelihood Ratio Statistic
  • 5.4 Computations
  • References