A necessary and sufficient condition for the dominance of an improved family of estimators in linear regression models |
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| Authors: | V. K. Srivastava |
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| Affiliation: | 1. Child and Adolescent Psychiatry Clinic, Denizli State Hospital, Denizli, Turkey;2. Department of Child and Adolescent Psychiatry, School of Medicine, Pamukkale University, Denizli, Turkey;3. Department of Medical Genetics, School of Medicine, Pamukkale University, Denizli, Turkey;4. Department of Anatomy, School of Medicine, Pamukkale University, Denizli, Turkey;5. Next Genetic Center, Istanbul, Turkey;1. Dipartimento di Fisica e Astronomia “Ettore Majorana”, Università di Catania, Via Santa Sofia 64, 95123 Catania, Italy;2. CNR-IMM, Catania-University Unit, Via Santa Sofia 64, 95123 Catania, Italy;3. Dipartimento di Scienze Chimiche, Università di Catania, INSTM UdR Catania, Viale Andrea Doria 6, I-95125 Catania, Italy;4. D.I.C.Ar., Dipartimento di Ingegneria Civile e Architettura, Università di Catania, Viale Andrea Doria 6, 95125 Catania, Italy;1. Department of Civil Engineering, Kırıkkale University, 71451 Kırıkkale, Türkiye;2. Department of Engineering Systems and Environment, University of Virginia, Charlottesville, VA 22901, USA;1. College of Food Science and Engineering, Yangzhou University, Yangzhou 225127, Jiangsu, China;2. Institute of Translational Medicine, Medical College, Yangzhou University, Yangzhou 225009, China;3. School of Chemistry and Chemical Engineering, Harbin Institute of Technology, Harbin, Heilongjiang 150001, China;4. Weiwei Food & Beverage Co., LTD, Xuzhou 221114, Jiangsu, China;5. Shaanxi Key Laboratory of Environmental Engineering, School of Environmental and Municipal Engineering, Xi’an University of Architecture and Technology, Xi’an 710055, China;1. Division of Vascular Surgery, Department of Surgery, McMaster University, Hamilton, Ontario, Canada;2. Harvard T.H. Chan School of Public Health, Boston, Mass;3. Division of Gynecologic Oncology, Tom Baker Cancer Center, Calgary, Alberta, Canada |
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| Abstract: | ![]()
This article presents a necessary and sufficient condition for the dominance, with respect to the risk under a general quadratic loss function, of the double k-class estimators (characterized by non-stochastic scalars) over the least squares estimator of coefficients in linear regression models. |
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