Simultaneous Closeness of k-Records |
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Authors: | Jafar Ahmadi N Balakrishnan |
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Institution: | 1. Department of Statistics, Ordered and Spatial Data Center of Excellence , Ferdowsi University of Mashhad , Mashhad , Iran ahmadi-j@um.ac.ir;3. Department of Mathematics and Statistics , McMaster University , Hamilton , Ontario , Canada |
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Abstract: | In this article, we study the simultaneous Pitman closeness of upper (and lower) k-records to a common parameter of the parent distribution and obtain general expressions for the corresponding probabilities. Since the usual record values are contained in the k-records, the corresponding results for the usual records can be deduced as special cases. The results are then applied to location-scale families with an emphasis on population quantiles. Exact expressions are derived for some common distributions such as exponential and uniform. In each case, the simultaneous closest k-record to a population quantile is determined. |
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Keywords: | k-records Location-scale family Pitman closeness Quantiles |
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