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Identifiability of countable mixtures of discrete probability distributions using methods of infinite matrices

Published online by Cambridge University Press:  24 October 2008

G. P. Patil  and
Sheela Bildikar
G. P. Patil
Affiliation:
The Pennsylvania State University and McGill University
Sheela Bildikar
Affiliation:
The Pennsylvania State University and McGill University
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Extract

Introduction. The subject of the mixtures of probability distributions has aroused a fresh interest in the fields of probability and statistics. Several authors, including Blischke, Rider, Robbins, Teicher, Patil and Seshadri, have discussed a variety of the associated probabilistic and statistical problems in varying details in the recent past. This paper attempts to solve by using the methods of infinite matrices some of the problems of the identifiability of countable mixtures of discrete probability distributions. It appears that here is still another area where Mathematics and Statistics can help one another grow. We are extremely thankful to Dr P. Vermes of Birkbeck College of the University of London for developing some theory of infinite matrices relevant to a couple of problems discussed in this paper. While most of the results discussed below are believed to be new, a few of them can be shown to be immediate consequences of a powerful result due to Teicher ((7)) obtained by using a different approach.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 62 , Issue 3 , July 1966 , pp. 485 - 494
Copyright
Copyright © Cambridge Philosophical Society 1966

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References

REFERENCES

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