# On the distribution of burr with applications

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## Abstract

Under certain conditions, the distribution of burr is shown to follow an extreme value distribution. In this context, a result on extremal process based on stationary sequence is proved. Some data sets are analyzed and applications of the results indicated.

## Keywords

Burr Ornstein-Uhlenbeck process Confidence ellipse Preferred direction## Mathematics Subject Classifications (2010)

Primary 62E20; Secondary 62-07 60G70 60F99## Notes

### Acknowledgements

Thanks are due to Professor J.K.Ghosh for interesting discussions, Professor Debasis Sengupta for help in computer programming, Mr. N.T.V.Ranga Rao for suggesting the problem and Mr. E. M. Vyasa for providing data. Referee’s suggestions improved the presentation.

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## Copyright information

© Indian Statistical Institute 2011