A note on the location parameters of two exponential distributions under order restrictions
- 1 January 1991
- journal article
- research article
- Published by Taylor & Francis in Communications in Statistics - Theory and Methods
- Vol. 20 (10) , 3147-3158
- https://doi.org/10.1080/03610929108830693
Abstract
The problem of simultaneous estimation of location parameters of two independent exponential distributions is considered when location and/or scale parameters are ordered. We show that the standard estimators in the unrestricted case which use information only from the populations individually can be improved upon when various order restrictions are known to hold. The improved estimators are obtained under the quadratic loss functionKeywords
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