Tomasz Rychlik

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All published works

Action	Title	Year	Authors
+ PDF Chat	Bounds of expectations of order statistics for distributions possessing monotone reversed failure rates	2024	Agnieszka Goroncy Tomasz Rychlik
+	Analytic Inequalities and Other Tools	2024	Narayanaswamy Balakrishnan Tomasz Rychlik
+	IID Samples from Shape Restricted Families	2024	Narayanaswamy Balakrishnan Tomasz Rychlik
+	Sampling from Finite Populations	2024	Narayanaswamy Balakrishnan Tomasz Rychlik
+	General, Symmetric and Life IID Samples	2024	Narayanaswamy Balakrishnan Tomasz Rychlik
+ PDF Chat	Conditions for finiteness and bounds on moments of generalized order statistics	2023	Mariusz Bieniek Tomasz Rychlik
+ PDF Chat	Conditions for finiteness and bounds on moments of record values from iid continuous life distributions	2022	Tomasz Rychlik Magdalena Szymkowiak
+	Bounds on the Expectations of $$\boldsymbol{L}$$-Statistics Based on iid Life Distributions	2022	Tomasz Rychlik
+	Preservation of distributional properties of component lifetimes by system lifetimes	2022	Barry C. Arnold Tomasz Rychlik Magdalena Szymkowiak
+	Signature Conditions for Distributional Properties of System Lifetimes if Component Lifetimes are I.I.D. Exponential	2021	Tomasz Rychlik Magdalena Szymkowiak
+	Bounds on the Expectations of $$\boldsymbol{L}$$-statistics from Iid Symmetric Populations in Various Scale Units	2021	Tomasz Rychlik
+	Variation of the expectation and quantiles of the mixture of ordered distributions under imprecise choice of prior	2021	Tomasz Rychlik
+ PDF Chat	Bounds on the Lifetime Expectations of Series Systems with IFR Component Lifetimes	2021	Tomasz Rychlik Magdalena Szymkowiak
+	Load-Sharing Reliability Models with Different Component Sensitivities to Other Components’ Working States	2021	Tomasz Rychlik Fabio Spizzichino
+	Properties of System Lifetime in the Classical Model with I.I.D. Exponential Component Lifetimes	2020	Tomasz Rychlik Magdalena Szymkowiak
+	Conditions on marginals and copula of component lifetimes for signature representation of system lifetime	2020	Jorge Navarro Tomasz Rychlik Fabio Spizzichino
+ PDF Chat	Comparisons of the Expectations of System and Component Lifetimes in the Failure Dependent Proportional Hazard Model	2019	Mariusz Bieniek Marco Burkschat Tomasz Rychlik
+	Effective procedure of verifying stochastic ordering of system lifetimes	2018	Tomasz Rychlik Jorge Navarro Rafael Rubio
+ PDF Chat	Sharp bounds on distribution functions and expectations of mixtures of ordered families of distributions	2018	Tomasz Rychlik
+ PDF Chat	Sharp bounds on the expectations of linear combinations of kth records expressed in the Gini mean difference units	2018	Paweł Marcin Kozyra Tomasz Rychlik
+	Conditions on unimodality and logconcavity for densities of coherent systems with an application to Bernstein operators	2018	Mariusz Bieniek Marco Burkschat Tomasz Rychlik
+	Refined solution to upper-bound problem for the expectations of order statistics from decreasing density on the average distributions	2017	Agnieszka Goroncy Tomasz Rychlik
+	Sharp inequalities for quantiles of system lifetime distributions from failure-dependent proportional hazard model	2017	Marco Burkschat Tomasz Rychlik
+	Upper and lower bounds on the variances of linear combinations of the<i>k</i>th records	2017	Paweł Marcin Kozyra Tomasz Rychlik
+	Evaluations of quantiles of system lifetime distributions	2016	Tomasz Rychlik
+	Sharp bounds on the expectations of <i>L</i>-statistics expressed in the Gini mean difference units	2016	Paweł Marcin Kozyra Tomasz Rychlik
+	Inequalities for variances of order statistics originating from urn models	2016	Krzysztof Jasiński Tomasz Rychlik
+ PDF Chat	Evaluations of expectations of order statistics and spacings based on IFR distributions	2015	Agnieszka Goroncy Tomasz Rychlik
+	Lower and upper bounds on the variances of spacings	2015	Paweł Marcin Kozyra Tomasz Rychlik
+ PDF Chat	Extreme Dispersions of Semicoherent and Mixed System Lifetimes	2015	Patryk Miziuła Tomasz Rychlik
+	Extreme Dispersions of Semicoherent and Mixed System Lifetimes	2015	Patryk Miziuła Tomasz Rychlik
+	Maximal dispersion of order statistics in dependent samples	2014	Tomasz Rychlik
+	Sharp Bounds for Lifetime Variances of Reliability Systems With Exchangeable Components	2014	Patryk Miziuła Tomasz Rychlik
+	Optimal bounds on expectations of order statistics and spacings from nonparametric families of distributions generated by convex transform order	2014	Agnieszka Goroncy Tomasz Rychlik
+	Maximal Expectations of Extreme Order Statistics from Increasing Density and Failure Rate Populations	2014	Tomasz Rychlik
+	Quantile Inequalities for the Expectations of Generalized<i>L</i>-Statistics	2014	Tomasz Rychlik
+ PDF Chat	Non-positive upper bounds on expectations of small order statistics from DDA and DFRA populations	2013	Tomasz Rychlik
+	The Ryszard Zielinski's works on nonparametric quantile estimators and their use in robust statistics	2012	Tomasz Rychlik
+	Bounds on dispersion of order statistics based on dependent symmetrically distributed random variables	2012	Krzysztof Jasiński Tomasz Rychlik
+	Maximum variance of order statistics from symmetric populations revisited	2012	Krzysztof Jasiński Tomasz Rychlik
+	Applications of Samaniego Signatures to Bounds on Variances of Coherent and Mixed System Lifetimes	2011	Tomasz Rychlik
+ PDF Chat	Mixed systems with minimal and maximal lifetime variances	2011	Marek Beśka Krzysztof Jasiński Tomasz Rychlik Marcin Spryszyński
+	Sharp Negative Bounds On Differences of Small Quantiles and Means of Distributions from Nonparametric Families	2011	Tomasz Rychlik
+	Lower bounds on the expectations of upper record values	2011	Agnieszka Goroncy Tomasz Rychlik
+	Comparisons and bounds for expected lifetimes of reliability systems	2010	Jorge Navarro Tomasz Rychlik
+	Bounds for the mean residual life function of a k-out-of-n system	2010	Mohammad Z. Raqab Tomasz Rychlik
+	Copulae in Reliability Theory (Order Statistics, Coherent Systems)	2010	Tomasz Rychlik
+ PDF Chat	Bounds on Variances of Lifetimes of Coherent and Mixed Systems	2009	Krzysztof Jasiński Jorge Navarro Tomasz Rychlik
+ PDF Chat	Bounds on Variances of Lifetimes of Coherent and Mixed Systems	2009	Krzysztof Jasiński Jorge Navarro Tomasz Rychlik
+	Lower Bounds on Spacings Based on With-Replacement Model	2009	Agnieszka Goroncy Tomasz Rychlik
+	Tight evaluations for expectations of small order statistics from symmetric and symmetric unimodal populations	2009	Tomasz Rychlik
+	Non-positive upper bounds on expectations of low rank order statistics from DFR populations	2009	Tomasz Rychlik
+	Evaluations of generalized order statistics from bounded populations	2008	Tomasz Rychlik
+	Bounds on expectations of small order statistics from decreasing density populations	2008	Tomasz Rychlik
+	Lower bounds on expectations of positive L-statistics from without-replacement models	2008	Agnieszka Goroncy Tomasz Rychlik
+	Sharp upper bounds for the expected values of non-extreme order statistics from discrete distributions	2008	Fernando López-Blázquez Tomasz Rychlik
+	Distributions and moments of record values in a sequence of maximally dependent random variables	2008	Ch. A. Charalambides Tomasz Rychlik
+	Extreme variances of order statistics in dependent samples	2008	Tomasz Rychlik
+	On distributions of order statistics for absolutely continuous copulas with applications to reliability	2008	Piotr Jaworski Tomasz Rychlik
+	Best Bounds on Expectations of L-Statistics from Bounded Samples	2007	Tomasz Rychlik
+	Are the Order Statistics Ordered? A Survey of Recent Results	2007	Jorge Navarro Tomasz Rychlik Moshe Shaked
+	Comparison of Records and Maxima	2007	Agnieszka Impert Tomasz Rychlik
+	SENSITIVITY OF SPACINGS UNDER VIOLATIONS OF INDEPENDENCE ASSUMPTION	2007	Tomasz Rychlik
+	Reliability and expectation bounds for coherent systems with exchangeable components	2007	Jorge Navarro Tomasz Rychlik
+ PDF Chat	Optimal bounds for linear functionals on monotone functions	2007	Tomasz Rychlik
+	Lower bounds on expectations of positive<i>L</i>-statistics based on samples drawn with replacement	2006	Agnieszka Goroncy Tomasz Rychlik
+	Evaluating expectations of L-statistics by the Steffensen inequality	2006	N. Balakrishnan Tomasz Rychlik
+ PDF Chat	How deviant can you be? The complete solution	2006	Agnieszka Goroncy Tomasz Rychlik
+	Reliability and expectation bounds for coherent systems with exchangeable components	2005	Jorge Navarro Tomasz Rychlik
+	Reconstruction of previous failure times and records	2005	Monika Klimczak Tomasz Rychlik
+	Maximum variance of Kth records	2004	Monika Klimczak Tomasz Rychlik
+	Optimal bounds on<i>l</i>-statistics based on samples drawn with replacement from finite populations	2004	Tomasz Rychlik
+	Unimodality of uniform generalized order statistics, with applications to mean bounds	2004	Erhard Cramer Udo Kamps Tomasz Rychlik
+ PDF Chat	Sharp bounds for expectations of spacings from decreasing density and failure rate families	2004	Katarzyna Danielak Tomasz Rychlik
+	Sharp bounds on the expectations of second record values from symmetric populations	2003	Mohammad Z. Raqab Tomasz Rychlik
+	Sharp bounds for expectations of spacings from DDA and DFRA families	2003	Katarzyna Danielak Tomasz Rychlik
+	Bounds on expectations of L-statistics from without replacement samples	2003	Nickos Papadatos Tomasz Rychlik
+	Theory & Methods: Exact Bounds for the Bias of Trimmed Means	2003	Katarzyna Danielak Tomasz Rychlik
+ PDF Chat	ON A CHARACTERIZATION OF DISTRIBUTIONS BY EXPECTATIONS OF TRANSFORMED GENERALIZED ORDER STATISTICS	2003	Piotr Pawlas Tomasz Rychlik Dominik Szynal
+	Sharp Mean-Variance Inequalities for Quantiles of Distributions Determined by Convex and Star Orders	2003	Tomasz Rychlik
+	On the existence of moments of generalized order statistics	2002	Erhard Cramer Udo Kamps Tomasz Rychlik
+	Best upper quantile evaluations for NWU distributions	2002	Tomasz Rychlik
+	Exact rates of Prokhorov convergence under three moment conditions	2002	George A. Anastassiou Tomasz Rychlik
+	SHARP BOUNDS FOR THE MEAN OF<i>k</i>TH RECORD VALUE	2002	Mohammad Z. Raqab Tomasz Rychlik
+ PDF Chat	Evaluations of expected generalized order statistics in various scale units	2002	Erhard Cramer Udo Kamps Tomasz Rychlik
+ PDF Chat	Optimal mean-variance bounds on order statistics from families determined by star ordering	2002	Tomasz Rychlik
+ PDF Chat	Sharp mean-variance inequalities for quantiles of distributions determined by convex and star orders	2002	Tomasz Rychlik Tomasz Rychlik
+	Sharp distribution-free bounds on the bias in estimating quantiles via order statistics	2001	Andrzej Okolewski Tomasz Rychlik
+	Predictions of Order and Record Statistics	2001	Tomasz Rychlik
+	None	2001	Tomasz Rychlik
+	Mean-variance bounds for order statistics from dependent DFR, IFR, DFRA and IFRA samples	2001	Tomasz Rychlik
+	Records and kth Records	2001	Tomasz Rychlik
+	Further Research Directions	2001	Tomasz Rychlik
+	Introduction and Notation	2001	Tomasz Rychlik
+	Order Statistics of Independent Samples	2001	Tomasz Rychlik
+	Order Statistics of Dependent Observations	2001	Tomasz Rychlik
+	Projecting Statistical Functionals	2001	Tomasz Rychlik
+	None	2000	George A. Anastassiou Tomasz Rychlik
+	Upper bounds for the expected Jefferson rounding under mean-variance-skewness conditions	2000	Tomasz Rychlik
+	Rates of uniform Prokhorov convergence of probability measures with given three moments to a Dirac one	1999	George A. Anastassiou Tomasz Rychlik
+ PDF Chat	Error reduction in density estimation under shape restrictions	1999	Tomasz Rychlik
+ PDF Chat	Refined rates of bias convergence for generalized L-Statistics in the i.i.d. case	1999	George A. Anastassiou Tomasz Rychlik
+	FOR GENERALIZED L-STATISTICS IN THE I.I.D. CASE	1999	George A. Anastassiou Tomasz Rychlik
+	Error reduction in density estimation under shape restrictions	1999	Tomasz Rychlik
+	6 Bounds for expectations of L-estimates	1998	Tomasz Rychlik
+	Randomized unbiased nonparametric estimates of nonestimable functionals	1997	Tomasz Rychlik
+ PDF Chat	Evaluating improvements of records	1997	Tomasz Rychlik
+	The Complete Solution of a Rounding Problem Under Two Moment Conditions	1997	Tomasz Rychlik
+ PDF Chat	Order statistics of variables with given marginal distributions	1996	Tomasz Rychlik
+	Bounds for order statistics based on dependent variables with given nonidentical distributions	1995	Tomasz Rychlik
+ PDF Chat	A class of unbiased kernel estimates of a probability density function	1995	Tomasz Rychlik
+	Distributions and expectations of order statistics for possibly dependent random variables	1994	Tomasz Rychlik
+	Bias-robustness of l-estimates of location against dependence	1993	Tomasz Rychlik
+	Sharp bounds on l-estimates and their expectations for dependent samples	1993	Tomasz Rychlik
+	Stochastically extremal distributions of order statistics for dependent samples	1992	Tomasz Rychlik
+	Unbiased nonparametric estimation of the derivative of the mean	1990	Tomasz Rychlik
+	An asymptotically most bias–stable estimator of location parameter	1987	Tomasz Rychlik
+	An asymptotically most Bias-Robust invariant estimator of location	1987	Tomasz Rychlik Ryszard Zieliński

Common Coauthors

Coauthor	Papers Together
Agnieszka Goroncy	9
Jorge Navarro	8
Krzysztof Jasiński	6
Magdalena Szymkowiak	5
George A. Anastassiou	5
Paweł Marcin Kozyra	4
Marco Burkschat	3
Mohammad Z. Raqab	3
Udo Kamps	3
Katarzyna Danielak	3
Mariusz Bieniek	3
Erhard Cramer	3
Patryk Miziuła	3
Narayanaswamy Balakrishnan	3
Fabio Spizzichino	2
Monika Klimczak	2
Narayanaswamy Balakrishnan	1
Andrzej Okolewski	1
Barry C. Arnold	1
Rafael Rubio	1
Piotr Pawlas	1
Nickos Papadatos	1
Ch. A. Charalambides	1
N. Balakrishnan	1
Piotr Jaworski	1
Agnieszka Impert	1
Fernando López-Blázquez	1
Marek Beśka	1
Marcin Spryszyński	1
Dominik Szynal	1
Moshe Shaked	1
Ryszard Zieliński	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	A Modification of Schwarz's Inequality with Applications to Distributions	1953	Sigeiti Moriguti	49
+	Projecting Statistical Functionals	2001	Tomasz Rychlik	43
+ PDF Chat	On the application and extension of system signatures in engineering reliability	2008	Jorge Navarro Francisco J. Samaniego N. Balakrishnan Debasis Bhattacharya	24
+	On Closure of the IFR Class Under Formation of Coherent Systems	1985	Francisco J. Samaniego	24
+	p-Norm bounds on the expectation of the maximum of a possibly dependent sample	1985	Barry C. Arnold	21
+ PDF Chat	The Maxima of the Mean Largest Value and of the Range	1954	E. J. Gumbel	20
+ PDF Chat	Universal Bounds for Mean Range and Extreme Observation	1954	H. O. Hartley H. A. David	20
+	6 Bounds for expectations of L-estimates	1998	Tomasz Rychlik	20
+	Sharp bounds on l-estimates and their expectations for dependent samples	1993	Tomasz Rychlik	19
+	Maximum variance of order statistics	1995	Nickos Papadatos	17
+	Sharp upper mean-variance bounds for trimmed means from restricted families	2003	Katarzyna Danielak	17
+	Mean-variance bounds for order statistics from dependent DFR, IFR, DFRA and IFRA samples	2001	Tomasz Rychlik	15
+	Relations, Bounds and Approximations for Order Statistics	1989	Barry C. Arnold N. Balakrishnan	14
+	Distributions and expectations of order statistics for possibly dependent random variables	1994	Tomasz Rychlik	14
+	Sharp bounds for expectations of spacings from DDA and DFRA families	2003	Katarzyna Danielak Tomasz Rychlik	14
+ PDF Chat	Optimal mean-variance bounds on order statistics from families determined by star ordering	2002	Tomasz Rychlik	14
+	The Signature of a Coherent System and Its Applications in Reliability	2004	Philip J. Boland Francisco J. Samaniego	13
+	Reliability and expectation bounds for coherent systems with exchangeable components	2005	Jorge Navarro Tomasz Rychlik	13
+	Bounds based on greatest convex minorants for moments of record values	1997	Mohammad Z. Raqab	13
+ PDF Chat	Extremal Properties of Extreme Value Distributions	1951	Sigeiti Moriguti	13
+	A Note on Maximum Variance of Order Statistics from Symmetric Populations	1997	Nickos Papadatos	13
+ PDF Chat	Computations of Signatures of Coherent Systems with Five Components	2009	Jorge Navarro Rafael Rubio	12
+	Signatures of indirect majority systems	2001	Philip J. Boland	12
+ PDF Chat	Sharp bounds for expectations of spacings from decreasing density and failure rate families	2004	Katarzyna Danielak Tomasz Rychlik	12
+	ON THE EXPECTED VALUES OF RECORD VALUES<sup>1</sup>	1978	Haikady N. Nagaraja	12
+ PDF Chat	A concept of generalized order statistics	1995	Udo Kamps	11
+	Variances of sample medians	1989	Gwo Dong Lin J. S. Huang	11
+ PDF Chat	Inequalities for Linear Combinations of Order Statistics from Restricted Families	1966	Richard E. Barlow Frank Proschan	11
+ PDF Chat	Bounds on Variances of Lifetimes of Coherent and Mixed Systems	2009	Krzysztof Jasiński Jorge Navarro Tomasz Rychlik	11
+	The ?signature? of a coherent system and its application to comparisons among systems	1999	Subhash C. Kochar Hari Mukerjee Francisco J. Samaniego	11
+	Extreme variances of order statistics in dependent samples	2008	Tomasz Rychlik	11
+	Bounds on expectations of small order statistics from decreasing density populations	2008	Tomasz Rychlik	10
+	Lower Bounds on Positive<i>L</i>-Statistics	2009	Agnieszka Goroncy	10
+	Reliability and expectation bounds for coherent systems with exchangeable components	2007	Jorge Navarro Tomasz Rychlik	10
+	Marginal distributions of sequential and generalized order statistics	2003	Erhard Cramer Udo Kamps	10
+	A simple application of binomial—negative binomial relationship in the derivation of sharp bounds for moments of order statistics based on greatest convex minorants	1993	N. Balakrishnan	10
+	Non-positive upper bounds on expectations of low rank order statistics from DFR populations	2009	Tomasz Rychlik	10
+	Projection bounds on expectations of generalized order statistics from DD and DDA families	2007	Mariusz Bieniek	9
+	On the Comparison of Reliability Experiments Based on the Convolution Order	2003	Moshe Shaked Alfonso Suárez‐Llorens	9
+	Bounds on expectation of order statistics from a finite population	2003	N. Balakrishnan Ch. A. Charalambides Nickos Papadatos	8
+	Maximally dependent random variables	1976	Tze Leung Lai Herbert Robbins	8
+	Tight evaluations for expectations of small order statistics from symmetric and symmetric unimodal populations	2009	Tomasz Rychlik	8
+	Stochastically extremal distributions of order statistics for dependent samples	1992	Tomasz Rychlik	8
+	Optimal bounds on<i>l</i>-statistics based on samples drawn with replacement from finite populations	2004	Tomasz Rychlik	8
+	Optimal bounds on expectations of order statistics and spacings from nonparametric families of distributions generated by convex transform order	2014	Agnieszka Goroncy Tomasz Rychlik	8
+	On Families of Distributions for Which Optimal Bounds on Expectations of GOS Can be Derived	2008	Mariusz Bieniek	8
+	Bounds for the expected value of spacings from discrete distributions	2000	Fernando López-Blázquez	8
+	Projection bounds on expectations of generalized order statistics from DFR and DFRA families	2006	Mariusz Bieniek	7
+	Exact Bounds for the Expectations of Order Statistics from Non-Negative Populations	1997	Nickos Papadatos	7
+	Stochastic orders and their applications	1994	Moshe Shaked J. George Shanthikumar	7