Ordered random variables applied in statistics and reliability theory
2015/19/B/ST1/03100
Keywords
Descriptors
- ST1_13: Rachunek prawdopodobieństwa i statystyka matematyczna
- ST1_18: Zastosowania matematyki w innych naukach
Panel
ST1 – Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics
Host institution
Instytut Matematyczny Polskiej Akademii Nauk
Voivodeship: mazowieckie
Principal investigator (from the host institution)
Number of co-investigators in the project: 5
Call
OPUS 10 – announced on 2015-09-15
- Amount awarded
- 364 800 PLN
- Project start date
- 2016-06-10
- Project end date
- 2019-07-09
- Project duration
- 37 months (the same as in the proposal)
- Project status
- Project settled
Project description
Download the project description in a pdf file
Note — project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.
Information in the final report
Publication in academic press/journals (30)
-
Sharp bounds for systems and mixtures with ordered components
- Authors:
- Patryk Miziuła, Jorge Navarro
- Academic press:
- Naval Research Logistics (year: 2017, volume: 64, pages: 108-116), Publisher: Wiley
- Status:
- Published
- DOI:
- 10.1002/nav.21735 – link to the publication
-
Reliability properties of k-out-of-n systems with one cold standby unit
- Authors:
- Anna Dembińska, Nikolay I. Nikolov, Eugenia Stoimenova
- Academic press:
- Journal of Computational and Applied Mathematics (year: 2021, volume: 388, pages: 113289, pp. 27), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.cam.2020.113289 – link to the publication
-
Comparison of dispersions of mixtures of ordered distributions
- Authors:
- Patryk Miziuła
- Academic press:
- Statistics (year: 2017, volume: 51, pages: 862-877), Publisher: Taylor & Francis
- Status:
- Published
- DOI:
- 10.1080/02331888.2017.1290635 – link to the publication
-
On the number of failed components in a k-out-of-n system upon system failure when the lifetimes are discretely distributed
- Authors:
- Katherine Davies, Anna Dembińska
- Academic press:
- Reliability Engineering & System Safety (year: 2019, volume: 188, pages: 47-61), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.ress.2019.03.008 – link to the publication
-
Sharp bounds on change in expected values and variances for single risk analysis in the flood catastrophe model
- Authors:
- Patryk Miziuła, Radek Solnicky
- Academic press:
- Scandinavian Actuarial Journal (year: 2018, volume: 2018, pages: 64-75), Publisher: Taylor & Francis
- Status:
- Published
- DOI:
- 10.1080/03461238.2017.1284152 – link to the publication
-
Birnbaum importance measure for reliability systems with dependent components.
- Authors:
- Patryk Miziuła, Jorge Navarro
- Academic press:
- IEEE Transactions on Reliability (year: 2019, volume: 68, pages: 439-450), Publisher: IEEE
- Status:
- Published
- DOI:
- 10.1109/TR.2019.2895400 – link to the publication
-
Moments of order statistics from DNID discrete random variables with application in reliability
- Authors:
- Anna Dembińska, Agnieszka Goroncy
- Academic press:
- Journal of Computational and Applied Mathematics (year: 2020, volume: 371, pages: 112703, 25 pp.), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.cam.2019.112703 – link to the publication
-
Optimal upper bounds on expected kth record values from IGFR distributions
- Authors:
- Agnieszka Goroncy
- Academic press:
- Statistics (year: 2019, volume: 53, pages: 1012-1036), Publisher: Taylor & Francis
- Status:
- Published
-
Bounds for the reliability of coherent systems with heterogeneous components
- Authors:
- Patryk Miziuła, Jorge Navarro
- Academic press:
- Applied Stochastic Models in Business and Industry (year: 2018, volume: 34, pages: 158-174), Publisher: Wiley
- Status:
- Published
- DOI:
- 10.1002/asmb.2289 – link to the publication
-
Effective procedure of verifying stochastic ordering of system lifetimes
- Authors:
- Tomasz Rychlik, Jorge Navarro, Rafael Rubio
- Academic press:
- Journal of Applied Probability (year: 2018, volume: 55, pages: 1261--1271), Publisher: Cambridge University Press
- Status:
- Published
- DOI:
- 10.1017/jpr.2018.84 – link to the publication
-
On the number of observations in random regions determined by records
- Authors:
- Anna Dembińska, Masoumeh Akbari, Jafar Ahmadi
- Academic press:
- Statistics (year: 2020, volume: 54, pages: 805-829), Publisher: Taylor & Francis
- Status:
- Published
- DOI:
- 10.1080/02331888.2020.1786091 – link to the publication
-
Sharp bounds on the expectations of linear combinations of $k$th records expressed in the Gini mean difference units
- Authors:
- Paweł Marcin Kozyra, Tomasz Rychlik
- Academic press:
- Probability and Mathematical Statistics (year: 2018, volume: 38, pages: 39-59), Publisher: Wydawnictwo Uniwersytetu Wrocławskiego
- Status:
- Published
- DOI:
- 10.19195/0208-4147.38.1.3 – link to the publication
-
Sharp inequalities for quantiles of system lifetime distributions from failure dependent proportional hazard model
- Authors:
- Marco Burkschat, Tomasz Rychlik
- Academic press:
- TEST (year: 2018, volume: 27, pages: 618-638), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s11749-017-0564-0 – link to the publication
-
Upper and lower bounds on the variances of linear combinations of kth records
- Authors:
- Paweł Marcin Kozyra, Tomasz Rychlik
- Academic press:
- Statistics (year: 2018, volume: 52, pages: 177-204), Publisher: Taylor & Francis
- Status:
- Published
- DOI:
- 10.1080/02331888.2017.1343828 – link to the publication
-
Conditions on unimodality and logconcavity for densities of coherent systems with an application to Bernstein operators
- Authors:
- Mariusz Bieniek, Marco Burkschat, Tomasz Rychlik
- Academic press:
- Journal of Mathematical Analysis and Applications (year: 2018, volume: 467, pages: 863--873), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.jmaa.2018.07.054 – link to the publication
-
Sharp bounds for the mean of the total time on test for distributions with increasing generalized failure rate
- Authors:
- Mariusz Bieniek, Maria Szpak
- Academic press:
- Statistics (year: 2018, volume: 52, pages: 818-828), Publisher: Taylor & Francis
- Status:
- Published
- DOI:
- 10.1080/02331888.2017.1410153 – link to the publication
-
Uniqueness of characterization of absolutely continuous distributions by regressions of generalized order statistics
- Authors:
- Mariusz Bieniek, Krystyna Maciąg
- Academic press:
- AStA Advances in Statistical Analysis (year: 2018, volume: 102, pages: 359-380), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s10182-017-0310-7 – link to the publication
-
On unimodality of the lifetime distribution of coherent systems with failure-dependent component lifetimes
- Authors:
- Mariusz Bieniek, Marco Burkschat
- Academic press:
- Journal of Applied Probability (year: 2018, volume: 55, pages: 473-–487), Publisher: Cambridge University Press
- Status:
- Published
- DOI:
- 10.1017/jpr.2018.31 – link to the publication
-
On the problem of the unique characterization of discrete distributions by single regression of weak records
- Authors:
- Mariusz Bieniek, Krystyna Maciąg
- Academic press:
- Statistics (year: 2018, volume: 52, pages: 533-–551), Publisher: Taylor & Francis
- Status:
- Published
- DOI:
- 10.1080/02331888.2018.1469022 – link to the publication
-
On the unique characterization of continuous distributions by single regression of non--adjacent generalized order statistics
- Authors:
- Mariusz Bieniek, Krystyna Maciąg
- Academic press:
- Journal of Integral Equations and Applications (year: 2018, volume: 30, pages: 491-–519), Publisher: Rocky Mountain Mathematics Consortium
- Status:
- Published
- DOI:
- 10.1216/JIE-2018-30-4-491 – link to the publication
-
Sharp bounds on distribution functions and expectations of mixtures of ordered families of distributions
- Authors:
- Tomasz Rychlik
- Academic press:
- TEST (year: 2019, volume: 28, pages: 166-195), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s – link to the publication
-
A strong ergodic theorem for extreme and intermediate order statistics
- Authors:
- Aneta Buraczyńska, Anna Dembińska
- Academic press:
- Journal of Mathematical Analysis and Applications (year: 2018, volume: 460, pages: 382-399), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.jmaa.2017.11.062 – link to the publication
-
On reliability analysis of k-out-of-n systems consisting of heterogeneous components with discrete lifetimes
- Authors:
- Anna Dembińska
- Academic press:
- IEEE Transactions on Reliability (year: 2018, volume: 67, pages: 1071-1083), Publisher: IEEE
- Status:
- Published
- DOI:
- 10.1109/TR.2018.2837080 – link to the publication
-
The long-term behavior of number of near-maximum insurance claims
- Authors:
- Aneta Buraczyńska, Anna Dembińska
- Academic press:
- Insurance Mathematics and Economics (year: 2019, volume: 88, pages: 226-237), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.insmatheco.2019.07. – link to the publication
-
Computing moments of discrete order statistics from non-identical distributions
- Authors:
- Anna Dembińska, Katherine Davies
- Academic press:
- Journal of Computational and Applied Mathematics (year: 2018, volume: 328, pages: 340-354), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.cam.2017.07.017 – link to the publication
-
Comparisons of the expectations of system and component lifetimes in the failure dependent proportional hazard model
- Authors:
- Mariusz Bieniek, Marco Burkschat, Tomasz Rychlik
- Academic press:
- Methodology and Computing in Applied Probability (year: 2020, volume: 22, pages: 173-189), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s11009-019-09695-8 – link to the publication
-
Sharp lower bounds on expectations of gOS based on DGFR distributions
- Authors:
- Mariusz Bieniek, Agnieszka Goroncy
- Academic press:
- Statistical Papers (year: 2020, volume: 61, pages: 1027–1042), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s00362-017-0972-y – link to the publication
-
Asymptotic behavior of proportions of observations in random regions determined by central order statistics from stationary processes
- Authors:
- Anna Dembińska, Krzysztof Jasiński
- Academic press:
- Statistics (year: 2017, volume: 51, pages: 591-608), Publisher: Taylor & Francis
- Status:
- Published
- DOI:
- 10.1080/02331888.2016.1265966 – link to the publication
-
An ergodic theorem for proportions of observations that fall into random sets determined by sample quantiles
- Authors:
- Anna Dembińska
- Academic press:
- Metrika (year: 2017, volume: 90, pages: 319-332), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s00184-016-0606-8 – link to the publication
-
Load-sharing reliability models with different component sensibilities on other component working states
- Authors:
- Tomasz Rychlik, Fabio Spizzichino
- Status:
- Accepted for publication
Articles in post-conference publications (1)
-
On moments of discrete order statistics with applications in reliability
- Authors:
- Agnieszka Goroncy, Anna Dembińska
- Conference:
- 18th International Summer Conference on Probability and Statistics (year: 2018, pages: 32-35), Publisher: Institute of Mathematics and Informatics, Bulgarian Academy of Sciences
- Date:
- conference June 25-30, 2018
- Status:
- Published