Communications in Statistics Part B: Simulation and Computation, ( ISI ), Volume (42), No (1), Year (2013-1) , Pages (107-120)

Title : ( Simultaneous Closeness of k-Records )

Authors: Jafar Ahmadi , N. Balakrishnan ,

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In this paper, 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


, Location-scale family, Pitman closeness, Quantiles, $k$-records.
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author = {Ahmadi, Jafar and N. Balakrishnan},
title = {Simultaneous Closeness of k-Records},
journal = {Communications in Statistics Part B: Simulation and Computation},
year = {2013},
volume = {42},
number = {1},
month = {January},
issn = {0361-0918},
pages = {107--120},
numpages = {13},
keywords = {Location-scale family; Pitman closeness; Quantiles; $k$-records.},


%0 Journal Article
%T Simultaneous Closeness of k-Records
%A Ahmadi, Jafar
%A N. Balakrishnan
%J Communications in Statistics Part B: Simulation and Computation
%@ 0361-0918
%D 2013