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Bounded risk estimation of a linear combination of location parameters in negative exponential distributions via three-stage sampling
Authors:Eiichi Isogai
Affiliation:Department of Mathematics, Niigata University, Nishi-Ku, Niigata, Japan
Abstract:The paper deals with the problem of bounded risk point estimation for a linear combination of location parameters of two negative exponential distributions. Isogai and Futschik considered the situation when the location and scale parameters are all unknown. They proposed purely sequential procedures and gave second order expansions of the average sample sizes and risks. In this paper we propose three-stage procedures and derive second order expansions of the average sample sizes and risks. Further, we compare the results with those from previous work.
Keywords:Bounded risk  location parameters  negative exponential distributions  second-order expansions  three-stage.
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