Characterizations based on record values and order statistics |
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Authors: | Jyh-Cherng Su Nan-Cheng Su Wen-Jang Huang |
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Affiliation: | 1. Department of Management Science, R.O.C. Military Academy, Fengshan, Kaohsiung 830, Taiwan, ROC;2. Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung 804, Taiwan, ROC;3. Department of Applied Mathematics, National University of Kaohsiung, Kaohsiung 811, Taiwan, ROC |
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Abstract: | Consider a sequence of independent and identically distributed random variables {Xi,i?1} with a common absolutely continuous distribution function F . Let X1:n?X2:n???Xn:n be the order statistics of {X1,X2,…,Xn} and {Yl,l?1} be the sequence of record values generated by {Xi,i?1}. In this work, the conditional distribution of Yl given Xn:n is established. Some characterizations of F based on record values and Xn:n are then given. |
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Keywords: | Primary 62E10 Secondary 60E05 |
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