Stochastic dominance: A bibliographical rectification and a restatement of whitmore's theorem |
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| Institution: | 1. Department of Nursing, College of Nursing, Dongguk University, Gyeongju, Republic of Korea;2. Department of Nursing, College of Nursing, Catholic University of Pusan, Busan, Republic of Korea;3. College of Nursing, Research Institute of Nursing Science, Jeonbuk National University, Jeonju, Republic of Korea;1. Department of Political Science, Alex Ekwueme Federal University, Ndufu Alike, Ikwo, Ebonyi State, Nigeria;2. Department Educational Foundations, Alex Ekwueme Federal University, Ndufu Alike, Ikwo, Ebonyi State, Nigeria;3. Department of Public Administration and Local Government, University of Nigeria, Nsukka, Nigeria;4. Department of Educational Foundations, University of Nigeria, Nsukka, Nigeria;5. Ebonyi State College of Education, Ebonyi State, Nigeria;6. Department of Philisophy/Religion, Alex Ekwueme Federal University, Ndufu Alike, Ikwo, Ebonyi State, Nigeria;7. Department of History and Strategic Studies, Alex Ekwueme Federal University, Ndufu Alike, Ikwo, Ebonyi State, Nigeria;8. Department of History and International Studies, University of Nigeria, Nsukka, Nigeria;9. Department of English and Literary Studies, University of Nigeria, Nsukka, Nigeria;10. Institute of African Studies, University of Nigeria, Nsukka, Nigeria;11. Strategic Contact Ethics and Publications, University of Nigeria, Nsukka, Nigeria |
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| Abstract: | The aim of this note is to make clear that the fundamental theorem on stochastic dominance of degree two was discovered in 1932 by Karamata. Apart from this historical rectification, it is interesting to remark that the proof is simple and elegant and can be used to characterize stochastic dominance of any order. We give a simple proof along these lines of Whitmore's theorem about third degree stochastic dominance. |
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