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

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
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)

  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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
  14. 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
  15. 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
  16. 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
  17. 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
  18. 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
  19. 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
  20. 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
  21. 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
  22. 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
  23. 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
  24. 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
  25. 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
  26. 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
  27. 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
  28. 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
  29. 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
  30. 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)

  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

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