Date of Submission


Date of Award


Institute Name (Publisher)

Indian Statistical Institute

Document Type

Doctoral Thesis

Degree Name

Doctor of Philosophy

Subject Name



Economic Research Unit (ERU-Kolkata)


Maitra, Ashok (ERU-Kolkata; ISI)

Abstract (Summary of the Work)

This thesis 1s devoted to a study of measures vith emplas sis on nonatonie nea sures. Me briefrly desoribe here the work carried out in various chapters. In Chapter 1, we study various aspects of nonatomic nea sures based on some characterisations obtained early in the Chapter. In Chapter 2, the problem - when a mixture of nonatoftic mea sures is nonatomic - is exanined. An example and rive sufficient conditions are given. In Chapter 3, we examine when a mixture of 1nvariant non-ergorlie mesures is non-ergodic. An example and three sufficient eonditions are given. In Chapter 4, we study certain borel structures which do not adadt nonatomie noares. In Chapter 5, we give necessary and sufficient conditions for an algebra to admit a nonatomic charge. In Chapter 6, we characterise extreme points of the set of all probability measures on a product borel structure with proscribod marginal probabilities.Some of the results of the The sis ere gubmitted to various journals for publication. 15), i6] See 13), 14), and [7).


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Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.


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