Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Ordered random variables applied in statistics and reliability theory

2015/19/B/ST1/03100

Keywords:

order statistics generalized order statistics reliability systems limit theorems characterizations inequalities

Descriptors:

  • ST1_13:
  • ST1_18:

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

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Tomasz Paweł Rychlik 

Number of co-investigators in the project: 5

Call: OPUS 10 - announced on 2015-09-15

Amount awarded: 364 800 PLN

Project start date (Y-m-d): 2016-06-10

Project end date (Y-m-d): 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 (44)
  • Articles in post-conference publications (1)
  1. 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 (rok: 2020, tom: 22, strony: 173-189), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11009-019-09695-8 - link to the publication
  2. 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 (rok: 2017, tom: 51, strony: 591-608), Wydawca: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/02331888.2016.1265966 - link to the publication
  3. Optimal upper bounds on expected kth record values from IGFR distributions
    Authors:
    Agnieszka Goroncy
    Academic press:
    Statistics (rok: 2019, tom: 53, strony: 1012-1036), Wydawca: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/ - link to the publication
  4. On the number of observations in random regions determined by records
    Authors:
    Anna Dembińska, Masoumeh Akbari, Jafar Ahmadi
    Academic press:
    Statistics (rok: 2020, tom: 54, strony: 805-829), Wydawca: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/02331888.2020.1786091 - link to the publication
  5. 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 (rok: 2018, tom: 102, strony: 359-380), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10182-017-0310-7 - link to the publication
  6. 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 (rok: 2019, tom: 188, strony: 47-61), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.ress.2019.03.008 - link to the publication
  7. Comparison of dispersions of mixtures of ordered distributions
    Authors:
    Patryk Miziuła
    Academic press:
    Statistics (rok: 2017, tom: 51, strony: 862-877), Wydawca: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/02331888.2017.1290635 - link to the publication
  8. 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 (rok: 2020, tom: 371, strony: 112703, 25 pp.), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cam.2019.112703 - link to the publication
  9. 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 (rok: 2018, tom: 467, strony: 863--873), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2018.07.054 - link to the publication
  10. 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 (rok: 2021, tom: 388, strony: 113289, pp. 27), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cam.2020.113289 - link to the publication
  11. 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 (rok: 2018, tom: 467, strony: 863--873), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2018.07.054 - link to the publication
  12. Sharp bounds on distribution functions and expectations of mixtures of ordered families of distributions
    Authors:
    Tomasz Rychlik
    Academic press:
    TEST (rok: 2019, tom: 28, strony: 166-195), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s - link to the publication
  13. 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 (rok: 2021, tom: 388, strony: 113289, pp. 27), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cam.2020.113289 - link to the publication
  14. Bounds for the reliability of coherent systems with heterogeneous components
    Authors:
    Patryk Miziuła, Jorge Navarro
    Academic press:
    Applied Stochastic Models in Business and Industry (rok: 2018, tom: 34, strony: 158-174), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1002/asmb.2289 - link to the publication
  15. 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 (rok: 2018, tom: 67, strony: 1071-1083), Wydawca: IEEE
    Status:
    Published
    DOI:
    10.1109/TR.2018.2837080 - link to the publication
  16. 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 (rok: 2019, tom: 188, strony: 47-61), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.ress.2019.03.008 - link to the publication
  17. The long-term behavior of number of near-maximum insurance claims
    Authors:
    Aneta Buraczyńska, Anna Dembińska
    Academic press:
    Insurance Mathematics and Economics (rok: 2019, tom: 88, strony: 226-237), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.insmatheco.2019.07. - link to the publication
  18. 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 (rok: 2020, tom: 22, strony: 173-189), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11009-019-09695-8 - link to the publication
  19. A strong ergodic theorem for extreme and intermediate order statistics
    Authors:
    Aneta Buraczyńska, Anna Dembińska
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2018, tom: 460, strony: 382-399), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2017.11.062 - link to the publication
  20. An ergodic theorem for proportions of observations that fall into random sets determined by sample quantiles
    Authors:
    Anna Dembińska
    Academic press:
    Metrika (rok: 2017, tom: 90, strony: 319-332), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00184-016-0606-8 - link to the publication
  21. Sharp inequalities for quantiles of system lifetime distributions from failure dependent proportional hazard model
    Authors:
    Marco Burkschat, Tomasz Rychlik
    Academic press:
    TEST (rok: 2018, tom: 27, strony: 618-638), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11749-017-0564-0 - link to the publication
  22. Upper and lower bounds on the variances of linear combinations of kth records
    Authors:
    Paweł Marcin Kozyra, Tomasz Rychlik
    Academic press:
    Statistics (rok: 2018, tom: 52, strony: 177-204), Wydawca: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/02331888.2017.1343828 - link to the publication
  23. A strong ergodic theorem for extreme and intermediate order statistics
    Authors:
    Aneta Buraczyńska, Anna Dembińska
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2018, tom: 460, strony: 382-399), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2017.11.062 - link to the publication
  24. 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 (rok: 2018, tom: 30, strony: 491-–519), Wydawca: Rocky Mountain Mathematics Consortium
    Status:
    Published
    DOI:
    10.1216/JIE-2018-30-4-491 - link to the publication
  25. 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 (rok: 2020, tom: 371, strony: 112703, 25 pp.), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cam.2019.112703 - link to the publication
  26. 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 (rok: 2018, tom: 55, strony: 473-–487), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/jpr.2018.31 - link to the publication
  27. 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 (rok: 2018, tom: 2018, strony: 64-75), Wydawca: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/03461238.2017.1284152 - link to the publication
  28. On the problem of the unique characterization of discrete distributions by single regression of weak records
    Authors:
    Mariusz Bieniek, Krystyna Maciąg
    Academic press:
    Statistics (rok: 2018, tom: 52, strony: 533-–551), Wydawca: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/02331888.2018.1469022 - link to the publication
  29. Birnbaum importance measure for reliability systems with dependent components.
    Authors:
    Patryk Miziuła, Jorge Navarro
    Academic press:
    IEEE Transactions on Reliability (rok: 2019, tom: 68, strony: 439-450), Wydawca: IEEE
    Status:
    Published
    DOI:
    10.1109/TR.2019.2895400 - link to the publication
  30. Sharp bounds for systems and mixtures with ordered components
    Authors:
    Patryk Miziuła, Jorge Navarro
    Academic press:
    Naval Research Logistics (rok: 2017, tom: 64, strony: 108-116), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1002/nav.21735 - link to the publication
  31. On the problem of the unique characterization of discrete distributions by single regression of weak records
    Authors:
    Mariusz Bieniek, Krystyna Maciąg
    Academic press:
    Statistics (rok: 2018, tom: 52, strony: 533-–551), Wydawca: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/02331888.2018.1469022 - link to the publication
  32. 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 (rok: 2018, tom: 52, strony: 818-828), Wydawca: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/02331888.2017.1410153 - link to the publication
  33. Effective procedure of verifying stochastic ordering of system lifetimes
    Authors:
    Tomasz Rychlik, Jorge Navarro, Rafael Rubio
    Academic press:
    Journal of Applied Probability (rok: 2018, tom: 55, strony: 1261--1271), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/jpr.2018.84 - link to the publication
  34. Effective procedure of verifying stochastic ordering of system lifetimes
    Authors:
    Tomasz Rychlik, Jorge Navarro, Rafael Rubio
    Academic press:
    Journal of Applied Probability (rok: 2018, tom: 55, strony: 1261--1271), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/jpr.2018.84 - link to the publication
  35. Sharp inequalities for quantiles of system lifetime distributions from failure dependent proportional hazard model
    Authors:
    Marco Burkschat, Tomasz Rychlik
    Academic press:
    TEST (rok: 2018, tom: 27, strony: 618-638), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11749-017-0564-0 - link to the publication
  36. Bounds for the reliability of coherent systems with heterogeneous components
    Authors:
    Patryk Miziuła, Jorge Navarro
    Academic press:
    Applied Stochastic Models in Business and Industry (rok: 2018, tom: 34, strony: 158-174), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1002/asmb.2289 - link to the publication
  37. 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 (rok: 2018, tom: 30, strony: 491-–519), Wydawca: Rocky Mountain Mathematics Consortium
    Status:
    Published
    DOI:
    10.1216/JIE-2018-30-4-491 - link to the publication
  38. Sharp lower bounds on expectations of gOS based on DGFR distributions
    Authors:
    Mariusz Bieniek, Agnieszka Goroncy
    Academic press:
    Statistical Papers (rok: 2020, tom: 61, strony: 1027–1042), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00362-017-0972-y - link to the publication
  39. 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 (rok: 2018, tom: 2018, strony: 64-75), Wydawca: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/03461238.2017.1284152 - link to the publication
  40. 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 (rok: 2018, tom: 38, strony: 39-59), Wydawca: Wydawnictwo Uniwersytetu Wrocławskiego
    Status:
    Published
    DOI:
    10.19195/0208-4147.38.1.3 - link to the publication
  41. The long-term behavior of number of near-maximum insurance claims
    Authors:
    Aneta Buraczyńska, Anna Dembińska
    Academic press:
    Insurance Mathematics and Economics (rok: 2019, tom: 88, strony: 226-237), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.insmatheco.2019.07. - link to the publication
  42. Computing moments of discrete order statistics from non-identical distributions
    Authors:
    Anna Dembińska, Katherine Davies
    Academic press:
    Journal of Computational and Applied Mathematics (rok: 2018, tom: 328, strony: 340-354), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cam.2017.07.017 - link to the publication
  43. 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 (rok: 2017, tom: 51, strony: 591-608), Wydawca: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/02331888.2016.1265966 - link to the publication
  44. Load-sharing reliability models with different component sensibilities on other component working states
    Authors:
    Tomasz Rychlik, Fabio Spizzichino
    Status:
    Accepted for publication
  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 (rok: 2018, ), Wydawca: Institute of Mathematics and Informatics, Bulgarian Academy of Sciences
    Data:
    konferencja June 25-30, 2018
    Status:
    Published

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