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Physical Sciences and Mathematics Commons

Open Access. Powered by Scholars. Published by Universities.®

2002

Mathematics

Indian Statistical Institute

Power

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Slippage And Change Point Problem With Directional Data., Arnab Kumar Laha Dr. May 2002

Slippage And Change Point Problem With Directional Data., Arnab Kumar Laha Dr.

Doctoral Theses

In this thesis we develop statistical methods for dealing with two problems namely (1) THE SLIPPAGE PROBLEM and (2) THE CHANGE POINT PROB- LEM in the set-up of directional data. In this chapter, we provide an intro- duction to these problems and discuss the importance of the present work. The slippage problem is basically a problem to detect whether any unspecified observation in a given random sample comes from a distribution different from that for all the other remaining observations. This can also be viewed as a problem of outlier detection or that of spuriosity. This problem assumes great importance …