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Thesis Details
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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