Rychlik, Tomasz; Szymkowiak, Magdalena Conditional evaluations of sums of sample maxima and records. (English) Zbl 07794814 REVSTAT 21, No. 2, 235-266 (2023). Reviewer: Fraser Daly (Edinburgh) MSC: 60E15 62G32 PDFBibTeX XMLCite \textit{T. Rychlik} and \textit{M. Szymkowiak}, REVSTAT 21, No. 2, 235--266 (2023; Zbl 07794814) Full Text: DOI
Rychlik, Tomasz; Szymkowiak, Magdalena Conditions for finiteness and bounds on moments of record values from iid continuous life distributions. (English) Zbl 07658860 Extremes 26, No. 1, 83-100 (2023). MSC: 62G32 60E15 PDFBibTeX XMLCite \textit{T. Rychlik} and \textit{M. Szymkowiak}, Extremes 26, No. 1, 83--100 (2023; Zbl 07658860) Full Text: DOI
Rychlik, Tomasz Bounds on the expectations of \(L\)-statistics based on iid life distributions. (English) Zbl 07595982 Math. Methods Stat. 31, No. 2, 43-56 (2022). MSC: 62G30 60E15 PDFBibTeX XMLCite \textit{T. Rychlik}, Math. Methods Stat. 31, No. 2, 43--56 (2022; Zbl 07595982) Full Text: DOI
Rychlik, Tomasz Bounds on the expectations of \(L\)-statistics from iid symmetric populations in various scale units. (English) Zbl 1493.62256 Math. Methods Stat. 30, No. 3-4, 48-63 (2021). MSC: 62G30 60E15 PDFBibTeX XMLCite \textit{T. Rychlik}, Math. Methods Stat. 30, No. 3--4, 48--63 (2021; Zbl 1493.62256) Full Text: DOI
Goroncy, Agnieszka; Rychlik, Tomasz Refined solution to upper-bound problem for the expectations of order statistics from decreasing density on the average distributions. (English) Zbl 1508.62132 Commun. Stat., Theory Methods 47, No. 16, 4029-4041 (2018). MSC: 62G30 60E15 62N05 PDFBibTeX XMLCite \textit{A. Goroncy} and \textit{T. Rychlik}, Commun. Stat., Theory Methods 47, No. 16, 4029--4041 (2018; Zbl 1508.62132) Full Text: DOI
Burkschat, Marco; Rychlik, Tomasz Sharp inequalities for quantiles of system lifetime distributions from failure-dependent proportional hazard model. (English) Zbl 1417.62288 Test 27, No. 3, 618-638 (2018). MSC: 62N05 60E15 62G30 PDFBibTeX XMLCite \textit{M. Burkschat} and \textit{T. Rychlik}, Test 27, No. 3, 618--638 (2018; Zbl 1417.62288) Full Text: DOI
Kozyra, Paweł Marcin; Rychlik, Tomasz Sharp bounds on the expectations of linear combinations of \(k\)th records expressed in the Gini mean difference units. (English) Zbl 1410.60028 Probab. Math. Stat. 38, No. 1, 39-59 (2018). MSC: 60E15 62G32 PDFBibTeX XMLCite \textit{P. M. Kozyra} and \textit{T. Rychlik}, Probab. Math. Stat. 38, No. 1, 39--59 (2018; Zbl 1410.60028) Full Text: Link
Kozyra, Paweł Marcin; Rychlik, Tomasz Upper and lower bounds on the variances of linear combinations of the \(k\)th records. (English) Zbl 1390.62082 Statistics 52, No. 1, 177-204 (2018). MSC: 62G32 60E15 62G30 PDFBibTeX XMLCite \textit{P. M. Kozyra} and \textit{T. Rychlik}, Statistics 52, No. 1, 177--204 (2018; Zbl 1390.62082) Full Text: DOI
Kozyra, Paweł Marcin; Rychlik, Tomasz Sharp bounds on the expectations of \(L\)-statistics expressed in the Gini mean difference units. (English) Zbl 1381.60063 Commun. Stat., Theory Methods 46, No. 6, 2921-2941 (2017). MSC: 60E15 62G32 62G30 PDFBibTeX XMLCite \textit{P. M. Kozyra} and \textit{T. Rychlik}, Commun. Stat., Theory Methods 46, No. 6, 2921--2941 (2017; Zbl 1381.60063) Full Text: DOI
Kozyra, Paweł Marcin; Rychlik, Tomasz Lower and upper bounds on the variances of spacings. (English) Zbl 1362.62114 Ann. Inst. Stat. Math. 69, No. 2, 417-428 (2017). MSC: 62G30 60E15 PDFBibTeX XMLCite \textit{P. M. Kozyra} and \textit{T. Rychlik}, Ann. Inst. Stat. Math. 69, No. 2, 417--428 (2017; Zbl 1362.62114) Full Text: DOI
Goroncy, Agnieszka; Rychlik, Tomasz Evaluations of expectations of order statistics and spacings based on IFR distributions. (English) Zbl 1375.60054 Metrika 79, No. 6, 635-657 (2016). MSC: 60E15 62G32 62N05 62G30 PDFBibTeX XMLCite \textit{A. Goroncy} and \textit{T. Rychlik}, Metrika 79, No. 6, 635--657 (2016; Zbl 1375.60054) Full Text: DOI
Jasiński, Krzysztof; Rychlik, Tomasz Inequalities for variances of order statistics originating from urn models. (English) Zbl 1338.60018 J. Appl. Probab. 53, No. 1, 162-173 (2016). MSC: 60C05 60E15 62G32 PDFBibTeX XMLCite \textit{K. Jasiński} and \textit{T. Rychlik}, J. Appl. Probab. 53, No. 1, 162--173 (2016; Zbl 1338.60018) Full Text: DOI Euclid
Rychlik, Tomasz Maximal dispersion of order statistics in dependent samples. (English) Zbl 1367.62157 Statistics 49, No. 2, 386-395 (2015). MSC: 62G30 60E15 62G32 62N05 PDFBibTeX XMLCite \textit{T. Rychlik}, Statistics 49, No. 2, 386--395 (2015; Zbl 1367.62157) Full Text: DOI
Rychlik, Tomasz Quantile inequalities for the expectations of generalized \(L\)-statistics. (English) Zbl 1302.62110 Commun. Stat., Theory Methods 43, No. 16, 3443-3463 (2014). MSC: 62G30 26A51 26D15 PDFBibTeX XMLCite \textit{T. Rychlik}, Commun. Stat., Theory Methods 43, No. 16, 3443--3463 (2014; Zbl 1302.62110) Full Text: DOI
Rychlik, Tomasz Maximal expectations of extreme order statistics from increasing density and failure rate populations. (English) Zbl 1331.62257 Commun. Stat., Theory Methods 43, No. 10-12, 2199-2213 (2014). MSC: 62G30 60E15 62N05 PDFBibTeX XMLCite \textit{T. Rychlik}, Commun. Stat., Theory Methods 43, No. 10--12, 2199--2213 (2014; Zbl 1331.62257) Full Text: DOI
Rychlik, Tomasz Non-positive upper bounds on expectations of small order statistics from DDA and DFRA populations. (English) Zbl 1396.62095 Metrika 77, No. 4, 539-557 (2014). MSC: 62G30 60E15 62N05 PDFBibTeX XMLCite \textit{T. Rychlik}, Metrika 77, No. 4, 539--557 (2014; Zbl 1396.62095) Full Text: DOI
Jasiński, Krzysztof; Rychlik, Tomasz Maximum variance of order statistics from symmetric populations revisited. (English) Zbl 1440.62160 Statistics 47, No. 2, 422-438 (2013). MSC: 62G30 60E15 PDFBibTeX XMLCite \textit{K. Jasiński} and \textit{T. Rychlik}, Statistics 47, No. 2, 422--438 (2013; Zbl 1440.62160) Full Text: DOI
Beśka, Marek; Jasiński, Krzysztof; Rychlik, Tomasz; Spryszyński, Marcin Mixed systems with minimal and maximal lifetime variances. (English) Zbl 1410.62071 Metrika 75, No. 7, 877-894 (2012). MSC: 62G30 60E15 62N05 PDFBibTeX XMLCite \textit{M. Beśka} et al., Metrika 75, No. 7, 877--894 (2012; Zbl 1410.62071) Full Text: DOI
Jasiński, Krzysztof; Rychlik, Tomasz Bounds on dispersion of order statistics based on dependent symmetrically distributed random variables. (English) Zbl 1244.62070 J. Stat. Plann. Inference 142, No. 8, 2421-2429 (2012). MSC: 62G30 PDFBibTeX XMLCite \textit{K. Jasiński} and \textit{T. Rychlik}, J. Stat. Plann. Inference 142, No. 8, 2421--2429 (2012; Zbl 1244.62070) Full Text: DOI
Raqab, Mohammad Z.; Rychlik, Tomasz Bounds for the mean residual life function of a \(k\)-out-of-\(n\) system. (English) Zbl 1226.62100 Metrika 74, No. 3, 361-380 (2011). MSC: 62N05 62E10 65C60 PDFBibTeX XMLCite \textit{M. Z. Raqab} and \textit{T. Rychlik}, Metrika 74, No. 3, 361--380 (2011; Zbl 1226.62100) Full Text: DOI
Rychlik, Tomasz Sharp negative bounds on differences of small quantiles and means of distributions from nonparametric families. (English) Zbl 1216.62022 Commun. Stat., Theory Methods 40, No. 12, 2155-2171 (2011). MSC: 62E15 65C60 62N05 60E15 PDFBibTeX XMLCite \textit{T. Rychlik}, Commun. Stat., Theory Methods 40, No. 12, 2155--2171 (2011; Zbl 1216.62022) Full Text: DOI
Goroncy, Agnieszka; Rychlik, Tomasz Lower bounds on the expectations of upper record values. (English) Zbl 1213.62083 J. Stat. Plann. Inference 141, No. 8, 2726-2737 (2011). MSC: 62G32 60G70 PDFBibTeX XMLCite \textit{A. Goroncy} and \textit{T. Rychlik}, J. Stat. Plann. Inference 141, No. 8, 2726--2737 (2011; Zbl 1213.62083) Full Text: DOI
Rychlik, Tomasz Evaluations of generalized order statistics from bounded populations. (English) Zbl 1247.60026 Stat. Pap. 51, No. 1, 165-177 (2010). MSC: 60E15 62G30 PDFBibTeX XMLCite \textit{T. Rychlik}, Stat. Pap. 51, No. 1, 165--177 (2010; Zbl 1247.60026) Full Text: DOI
Rychlik, Tomasz Bounds on expectations of small order statistics from decreasing density populations. (English) Zbl 1433.60012 Metrika 70, No. 3, 369-381 (2009). MSC: 60E15 62G30 PDFBibTeX XMLCite \textit{T. Rychlik}, Metrika 70, No. 3, 369--381 (2009; Zbl 1433.60012) Full Text: DOI
Jasiński, Krzysztof; Navarro, Jorge; Rychlik, Tomasz Bounds on variances of lifetimes of coherent and mixed systems. (English) Zbl 1171.62353 J. Appl. Probab. 46, No. 3, 894-908 (2009). MSC: 62N05 60E15 62G30 PDFBibTeX XMLCite \textit{K. Jasiński} et al., J. Appl. Probab. 46, No. 3, 894--908 (2009; Zbl 1171.62353) Full Text: DOI
Rychlik, Tomasz Non-positive upper bounds on expectations of low rank order statistics from DFR populations. (English) Zbl 1278.60042 Statistics 43, No. 1, 53-63 (2009). MSC: 60E15 62G30 PDFBibTeX XMLCite \textit{T. Rychlik}, Statistics 43, No. 1, 53--63 (2009; Zbl 1278.60042) Full Text: DOI
Goroncy, Agnieszka; Rychlik, Tomasz Lower bounds on spacing based on with-replacement model. (English) Zbl 1168.60317 Commun. Stat., Theory Methods 38, No. 12, 1982-1988 (2009). MSC: 60E15 62D05 62G30 PDFBibTeX XMLCite \textit{A. Goroncy} and \textit{T. Rychlik}, Commun. Stat., Theory Methods 38, No. 12, 1982--1988 (2009; Zbl 1168.60317) Full Text: DOI
Charalambides, Ch. A.; Rychlik, Tomasz Distributions and moments of record values in a sequence of maximally dependent random variables. (English) Zbl 1182.62114 J. Stat. Plann. Inference 138, No. 8, 2253-2266 (2008). Reviewer: Josef Steinebach (Köln) MSC: 62G32 62E15 60E15 60G70 62G30 PDFBibTeX XMLCite \textit{Ch. A. Charalambides} and \textit{T. Rychlik}, J. Stat. Plann. Inference 138, No. 8, 2253--2266 (2008; Zbl 1182.62114) Full Text: DOI
Rychlik, Tomasz Extreme variances of order statistics in dependent samples. (English) Zbl 1155.62035 Stat. Probab. Lett. 78, No. 12, 1577-1582 (2008). Reviewer: Jaroslaw Bartoszewicz (Wrocław) MSC: 62G30 60E15 62G32 PDFBibTeX XMLCite \textit{T. Rychlik}, Stat. Probab. Lett. 78, No. 12, 1577--1582 (2008; Zbl 1155.62035) Full Text: DOI
Impert, Agnieszka; Rychlik, Tomasz Comparison of records and maxima. (English) Zbl 1127.62047 Commun. Stat., Theory Methods 36, No. 7, 1397-1408 (2007). Reviewer: Elisaveta Pancheva (Sofia) MSC: 62G32 60E15 60G70 PDFBibTeX XMLCite \textit{A. Impert} and \textit{T. Rychlik}, Commun. Stat., Theory Methods 36, No. 7, 1397--1408 (2007; Zbl 1127.62047) Full Text: DOI
Navarro, Jorge; Rychlik, Tomasz; Shaked, Moshe Are the order statistics ordered? A survey of recent results. (English) Zbl 1137.62026 Commun. Stat., Theory Methods 36, No. 7, 1273-1290 (2007). Reviewer: Hans Daduna (Hamburg) MSC: 62G30 60E15 60K10 62N05 PDFBibTeX XMLCite \textit{J. Navarro} et al., Commun. Stat., Theory Methods 36, No. 7, 1273--1290 (2007; Zbl 1137.62026) Full Text: DOI
Navarro, Jorge; Rychlik, Tomasz Reliability and expectation bounds for coherent systems with exchangeable components. (English) Zbl 1102.62111 J. Multivariate Anal. 98, No. 1, 102-113 (2007). MSC: 62N05 62E15 60E15 62G30 PDFBibTeX XMLCite \textit{J. Navarro} and \textit{T. Rychlik}, J. Multivariate Anal. 98, No. 1, 102--113 (2007; Zbl 1102.62111) Full Text: DOI
Goroncy, Agnieszka; Rychlik, Tomasz Lower bounds on expectations of positive L-statistics based on samples drawn with replacement. (English) Zbl 1098.62060 Statistics 40, No. 5, 389-408 (2006). MSC: 62G30 62D05 60E15 PDFBibTeX XMLCite \textit{A. Goroncy} and \textit{T. Rychlik}, Statistics 40, No. 5, 389--408 (2006; Zbl 1098.62060) Full Text: DOI
Balakrishnan, N.; Rychlik, T. Evaluating expectations of \(L\)-statistics by the Steffensen inequality. (English) Zbl 1095.62058 Metrika 63, No. 3, 371-384 (2006). MSC: 62G30 60E15 PDFBibTeX XMLCite \textit{N. Balakrishnan} and \textit{T. Rychlik}, Metrika 63, No. 3, 371--384 (2006; Zbl 1095.62058) Full Text: DOI
Klimczak, Monika; Rychlik, Tomasz Maximum variance of \(k\)th records. (English) Zbl 1075.62038 Stat. Probab. Lett. 69, No. 4, 421-430 (2004). MSC: 62G30 62G32 60E15 62E15 PDFBibTeX XMLCite \textit{M. Klimczak} and \textit{T. Rychlik}, Stat. Probab. Lett. 69, No. 4, 421--430 (2004; Zbl 1075.62038) Full Text: DOI
Rychlik, Tomasz Optimal bounds on \(L\)-statistics based on samples drawn with replacement from finite populations. (English) Zbl 1062.62086 Statistics 38, No. 5, 391-412 (2004). MSC: 62G30 60C05 62E15 60E15 PDFBibTeX XMLCite \textit{T. Rychlik}, Statistics 38, No. 5, 391--412 (2004; Zbl 1062.62086) Full Text: DOI
Cramer, Erhard; Kamps, Udo; Rychlik, Tomasz Unimodality of uniform generalized order statistics, with applications to mean bounds. (English) Zbl 1050.62058 Ann. Inst. Stat. Math. 56, No. 1, 183-192 (2004). MSC: 62G30 62E10 60E15 PDFBibTeX XMLCite \textit{E. Cramer} et al., Ann. Inst. Stat. Math. 56, No. 1, 183--192 (2004; Zbl 1050.62058) Full Text: DOI
Papadatos, N.; Rychlik, T. Bounds on expectations of \(L\)-statistics from without replacement samples. (English) Zbl 1048.60017 J. Stat. Plann. Inference 124, No. 2, 317-336 (2004). MSC: 60E15 62G30 60C05 PDFBibTeX XMLCite \textit{N. Papadatos} and \textit{T. Rychlik}, J. Stat. Plann. Inference 124, No. 2, 317--336 (2004; Zbl 1048.60017) Full Text: DOI
Raqab, Mohammad Z.; Rychlik, Tomasz Sharp bounds on the expectations of second record values from symmetric populations. (English) Zbl 1040.62037 Statistics 38, No. 1, 49-57 (2004). MSC: 62G32 62G30 62E15 PDFBibTeX XMLCite \textit{M. Z. Raqab} and \textit{T. Rychlik}, Statistics 38, No. 1, 49--57 (2004; Zbl 1040.62037) Full Text: DOI
Cramer, Erhard; Kamps, Udo; Rychlik, Tomasz On the existence of moments of generalized order statistics. (English) Zbl 1045.62043 Stat. Probab. Lett. 59, No. 4, 397-404 (2002). MSC: 62G30 PDFBibTeX XMLCite \textit{E. Cramer} et al., Stat. Probab. Lett. 59, No. 4, 397--404 (2002; Zbl 1045.62043) Full Text: DOI
Okolewski, Andrzej; Rychlik, Tomasz Sharp distribution-free bounds on the bias in estimating quantiles via order statistics. (English) Zbl 1012.62054 Stat. Probab. Lett. 52, No. 2, 207-213 (2001). MSC: 62G30 62G05 60E15 PDFBibTeX XMLCite \textit{A. Okolewski} and \textit{T. Rychlik}, Stat. Probab. Lett. 52, No. 2, 207--213 (2001; Zbl 1012.62054) Full Text: DOI
Rychlik, Tomasz Mean-variance bounds for order statistics from dependent DFR, IFR, DFRA and IFRA samples. (English) Zbl 0973.62092 J. Stat. Plann. Inference 92, No. 1-2, 21-38 (2001). Reviewer: S.Kalpakam (Chennai) MSC: 62N05 62G30 60E15 62E15 PDFBibTeX XMLCite \textit{T. Rychlik}, J. Stat. Plann. Inference 92, No. 1--2, 21--38 (2001; Zbl 0973.62092) Full Text: DOI
Rychlik, Tomasz Randomized unbiased nonparametric estimates of nonestimable functionals. (English) Zbl 1127.62327 Nonlinear Anal., Theory Methods Appl. 30, No. 7, 4385-4394 (1997). MSC: 62G07 62G05 62N02 PDFBibTeX XMLCite \textit{T. Rychlik}, Nonlinear Anal., Theory Methods Appl. 30, No. 7, 4385--4394 (1997; Zbl 1127.62327) Full Text: DOI
Rychlik, Tomasz Bounds for order statistics based on dependent variables with given nonidentical distributions. (English) Zbl 0830.62050 Stat. Probab. Lett. 23, No. 4, 351-358 (1995). MSC: 62G30 62E10 PDFBibTeX XMLCite \textit{T. Rychlik}, Stat. Probab. Lett. 23, No. 4, 351--358 (1995; Zbl 0830.62050) Full Text: DOI
Rychlik, Tomasz Distributions and expectations of order statistics for possibly dependent random variables. (English) Zbl 0790.62048 J. Multivariate Anal. 48, No. 1, 31-42 (1994). MSC: 62G30 62E10 60E05 PDFBibTeX XMLCite \textit{T. Rychlik}, J. Multivariate Anal. 48, No. 1, 31--42 (1994; Zbl 0790.62048) Full Text: DOI
Rychlik, Tomasz Bounds for expectation of \(L\)-estimates for dependent samples. (English) Zbl 0808.62048 Statistics 24, No. 1, 1-7 (1993). MSC: 62G30 60E15 62E15 PDFBibTeX XMLCite \textit{T. Rychlik}, Statistics 24, No. 1, 1--7 (1993; Zbl 0808.62048) Full Text: DOI
Rychlik, Tomasz Unbiased nonparametric estimation of the derivative of the mean. (English) Zbl 0703.62049 Stat. Probab. Lett. 10, No. 4, 329-333 (1990). MSC: 62G05 62M09 62J02 PDFBibTeX XMLCite \textit{T. Rychlik}, Stat. Probab. Lett. 10, No. 4, 329--333 (1990; Zbl 0703.62049) Full Text: DOI