Minimum Risk Estimation of Scalar Means under Convex Combination of Loss Functions |
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Authors: | Raghu Nandan Sengupta Sachin Srivastava |
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Institution: | 1. Industrial &2. Management Engineering Department , Indian Institute of Technology Kanpur , Kanpur , India raghus@iitk.ac.in;4. Management Engineering Department , Indian Institute of Technology Kanpur , Kanpur , India |
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Abstract: | We derive the minimum risk estimates of the scalar means for Normal, Exponential, and Gamma distributions, under the convex combination of SEL and LINEX loss functions. The functional forms of the proposed estimates for the three examples are general in nature, and for the boundary conditions provide us with the corresponding estimates under SEL and LINEX loss, respectively. We authenticate our proposed models using different iterative as well as meta-heuristic techniques, and through extensive simulation as well as application of live data sets, validate the efficacy of our proposed results. |
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Keywords: | Exponential distribution Gamma distribution Heart beat rate Lambert function Linear exponential loss Normal distribution Rainfall Squared error loss Time between goals |
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