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Communications in Statistics - Theory and Methods Volume 31, 2002 - Issue 11
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Original Articles

SHARP BOUNDS FOR THE MEAN OF kTH RECORD VALUE

Mohammad Z. Raqab Department of Mathematics, University of Jordan, Amman, 11942, Jordan
&
Tomasz Rychlik Institute of Mathematics, Polish Academy of Sciences, Chopina 12, Toruń, 87100, Poland E-mail: [email protected]
Pages 1927-1937 | Published online: 15 Feb 2007

Citations (22)

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Agnieszka Goroncy. (2019) Optimal upper bounds on expected kth record values from IGFR distributions. Statistics 53:5, pages 1012-1036.
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Krzysztof Jasiński. (2018) Characterizations of geometric distributions based on kth record values. Statistics 52:5, pages 1116-1127.
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Paweł Marcin Kozyra & Tomasz Rychlik. (2018) Upper and lower bounds on the variances of linear combinations of the kth records. Statistics 52:1, pages 177-204.
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P. S. Asha & Manoj Chacko. (2016) Residual Renyi entropy of k-record values. Communications in Statistics - Theory and Methods 45:16, pages 4874-4885.
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Krzysztof Jasiński. (2016) On maximum variance of th records. Communications in Statistics - Theory and Methods 45:8, pages 2392-2401.
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Omar M. Bdair & Mohammad Z. Raqab. (2012) Sharp upper bounds for the mean residual waiting time of records. Statistics 46:1, pages 69-84.
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Monika Klimczak. (2007) Best Bounds of kth Records from Bounded Samples. Communications in Statistics - Theory and Methods 36:7, pages 1451-1464.
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MohammadZ. Raqab. (2007) Inequalities for Expected Current Record Statistics. Communications in Statistics - Theory and Methods 36:7, pages 1367-1380.
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Mohammad Z. Raqab. (2004) Sharp Bounds on the Error in Approximating the Means of Record Statistics by Inverse Hazard Functions. Communications in Statistics - Theory and Methods 33:7, pages 1527-1539.
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Mohammad Z. Raqab & Tomasz Rychlik . (2004) Sharp bounds on the expectations of second record values from symmetric populations . Statistics 38:1, pages 49-57.
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Articles from other publishers (12)

Tomasz Rychlik & Magdalena Szymkowiak. (2022) Conditions for finiteness and bounds on moments of record values from iid continuous life distributions. Extremes 26:1, pages 83-100.
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Nickos Papadatos. (2019) OPTIMAL MOMENT INEQUALITIES FOR ORDER STATISTICS FROM NONNEGATIVE RANDOM VARIABLES. Probability in the Engineering and Informational Sciences 35:2, pages 316-330.
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Krzysztof Jasiński. (2017) Relations for product moments and covariances of kth records from discrete distributions. Metrika 81:2, pages 125-141.
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Mariusz Bieniek. (2014) Optimal evaluations for the bias of trimmed means of $$k$$ k th record values. Metrika 78:4, pages 437-460.
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Agnieszka Goroncy & Tomasz Rychlik. (2011) Lower bounds on the expectations of upper record values. Journal of Statistical Planning and Inference 141:8, pages 2726-2737.
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Mohammad Z. Raqab. (2007) Sharp bounds on expectations of second record increments from decreasing density families. Journal of Statistical Planning and Inference 137:4, pages 1291-1301.
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N. Balakrishnan & T. Rychlik. (2006) Evaluating expectations of L-statistics by the Steffensen inequality. Metrika 63:3, pages 371-384.
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M. Fashandi & J. Ahmadi. (2006) Series approximations for the means of k-records. Applied Mathematics and Computation 174:2, pages 1290-1301.
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Katarzyna Danielak. (2005) Distribution-free bounds for expectations of increments of records. Journal of Statistical Planning and Inference 133:2, pages 239-247.
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Monika Klimczak & Tomasz Rychlik. (2004) Maximum variance of Kth records. Statistics & Probability Letters 69:4, pages 421-430.
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Mohammad Z. Raqab. (2004) Projection P-norm bounds on the moments of Kth record increments. Journal of Statistical Planning and Inference 124:2, pages 301-315.
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Mohammad Z. Raqab. (2003) P-Norm bounds for moments of progressive type II censored order statistics. Statistics & Probability Letters 64:4, pages 393-402.
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