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Marginal distributions of sequential and generalized order statistics

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Cited by:

  1. Tanmay Sahoo & Nil Kamal Hazra & Narayanaswamy Balakrishnan, 2024. "Multivariate stochastic comparisons of sequential order statistics with non-identical components," Statistical Papers, Springer, vol. 65(7), pages 4365-4404, September.
  2. N. Balakrishnan & Erhard Cramer, 2008. "Progressive censoring from heterogeneous distributions with applications to robustness," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 60(1), pages 151-171, March.
  3. Alimohammadi, Mahdi & Alamatsaz, Mohammad Hossein, 2011. "Some new results on unimodality of generalized order statistics and their spacings," Statistics & Probability Letters, Elsevier, vol. 81(11), pages 1677-1682, November.
  4. Balakrishnan, N. & Kamps, U. & Kateri, M., 2009. "Minimal repair under a step-stress test," Statistics & Probability Letters, Elsevier, vol. 79(13), pages 1548-1558, July.
  5. Balakrishnan, N. & Beutner, E. & Kamps, U., 2008. "Order restricted inference for sequential k-out-of-n systems," Journal of Multivariate Analysis, Elsevier, vol. 99(7), pages 1489-1502, August.
  6. Erhard Cramer & Jorge Navarro, 2015. "Progressive Type‐II censoring and coherent systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 62(6), pages 512-530, September.
  7. Félix Belzunce & Carolina Martínez-Riquelme, 2015. "Some results for the comparison of generalized order statistics in the total time on test and excess wealth orders," Statistical Papers, Springer, vol. 56(4), pages 1175-1190, November.
  8. Mahdi Alimohammadi & Mohammad Hossein Alamatsaz & Erhard Cramer, 2016. "Convolutions and generalization of logconcavity: Implications and applications," Naval Research Logistics (NRL), John Wiley & Sons, vol. 63(2), pages 109-123, March.
  9. Tzong-Ru Tsai & Hua Xin & Chiun-How Kao, 2021. "Bayesian Estimation Based on Sequential Order Statistics for Heterogeneous Baseline Gompertz Distributions," Mathematics, MDPI, vol. 9(2), pages 1-21, January.
  10. Félix Belzunce & Julio Mulero & José María Ruíz & Alfonso Suárez-Llorens, 2015. "On relative skewness for multivariate distributions," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 24(4), pages 813-834, December.
  11. Marco Burkschat & Tomasz Rychlik, 2018. "Sharp inequalities for quantiles of system lifetime distributions from failure-dependent proportional hazard model," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 27(3), pages 618-638, September.
  12. Yashi Wang & Weiwei Zhuang & Taizhong Hu, 2010. "Conditionally stochastic domination of generalized order statistics from two samples," Statistical Papers, Springer, vol. 51(2), pages 369-373, June.
  13. Francesco Buono & Emilio Santis & Maria Longobardi & Fabio Spizzichino, 2022. "Multivariate Reversed Hazard Rates and Inactivity Times of Systems," Methodology and Computing in Applied Probability, Springer, vol. 24(3), pages 1987-2008, September.
  14. Stefan Bedbur & Udo Kamps, 2019. "Testing for Equality of Parameters from Different Load-Sharing Systems," Stats, MDPI, vol. 2(1), pages 1-19, January.
  15. Georgios Psarrakos & Antonio Di Crescenzo, 2018. "A residual inaccuracy measure based on the relevation transform," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 81(1), pages 37-59, January.
  16. Udo Kamps & Erhard Cramer, 2007. "Comments on: Progressive censoring methodology: an appraisal," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(2), pages 271-275, August.
  17. Mariusz Bieniek & Agnieszka Goroncy, 2020. "Sharp lower bounds on expectations of gOS based on DGFR distributions," Statistical Papers, Springer, vol. 61(3), pages 1027-1042, June.
  18. Hashemi, Marzieh & Tavangar, Mahdi & Asadi, Majid, 2010. "Some properties of the residual lifetime of progressively Type-II right censored order statistics," Statistics & Probability Letters, Elsevier, vol. 80(9-10), pages 848-859, May.
  19. van Bentum, Thomas & Cramer, Erhard, 2019. "Stochastic monotonicity of MLEs of the mean for exponentially distributed lifetimes under hybrid censoring," Statistics & Probability Letters, Elsevier, vol. 148(C), pages 1-8.
  20. Nuria Torrado & Rosa E. Lillo & Michael P. Wiper, 2012. "Sequential Order Statistics: Ageing and Stochastic Orderings," Methodology and Computing in Applied Probability, Springer, vol. 14(3), pages 579-596, September.
  21. Mariusz Bieniek & Marco Burkschat & Tomasz Rychlik, 2020. "Comparisons of the Expectations of System and Component Lifetimes in the Failure Dependent Proportional Hazard Model," Methodology and Computing in Applied Probability, Springer, vol. 22(1), pages 173-189, March.
  22. Maryam Esna-Ashari & Mahdi Alimohammadi & Elnaz Garousi & Antonio Di Crescenzo, 2024. "Some New Results on Stochastic Comparisons of Spacings of Generalized Order Statistics from One and Two Samples," Mathematics, MDPI, vol. 12(10), pages 1-19, May.
  23. Maryam Esna-Ashari & Narayanaswamy Balakrishnan & Mahdi Alimohammadi, 2023. "HR and RHR orderings of generalized order statistics," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 86(1), pages 131-148, January.
  24. Morteza Amini & Narayanaswamy Balakrishnan, 2015. "Pooled parametric inference for minimal repair systems," Computational Statistics, Springer, vol. 30(2), pages 605-623, June.
  25. Amini, Morteza & Balakrishnan, N., 2013. "Nonparametric meta-analysis of independent samples of records," Computational Statistics & Data Analysis, Elsevier, vol. 66(C), pages 70-81.
  26. Beutner, E. & Cramer, E., 2014. "Using linear interpolation to reduce the order of the coverage error of nonparametric prediction intervals based on right-censored data," Journal of Multivariate Analysis, Elsevier, vol. 129(C), pages 95-109.
  27. Xie, Hongmei & Hu, Taizhong, 2010. "Some new results on multivariate dispersive ordering of generalized order statistics," Journal of Multivariate Analysis, Elsevier, vol. 101(4), pages 964-970, April.
  28. Burkschat, Marco & Torrado, Nuria, 2014. "On the reversed hazard rate of sequential order statistics," Statistics & Probability Letters, Elsevier, vol. 85(C), pages 106-113.
  29. Mariusz Bieniek, 2007. "On characterizations of distributions by regression of adjacent generalized order statistics," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 66(2), pages 233-242, September.
  30. Burkschat Marco & Kamps Udo & Kateri Maria, 2013. "Estimating scale parameters under an order statistics prior," Statistics & Risk Modeling, De Gruyter, vol. 30(3), pages 205-219, August.
  31. Foschi Rachele & Nappo Giovanna & Spizzichino Fabio L., 2021. "Diagonal sections of copulas, multivariate conditional hazard rates and distributions of order statistics for minimally stable lifetimes," Dependence Modeling, De Gruyter, vol. 9(1), pages 394-423, January.
  32. Vuong, Q.N. & Bedbur, S. & Kamps, U., 2013. "Distances between models of generalized order statistics," Journal of Multivariate Analysis, Elsevier, vol. 118(C), pages 24-36.
  33. Burkschat, M. & Kamps, U. & Kateri, M., 2010. "Sequential order statistics with an order statistics prior," Journal of Multivariate Analysis, Elsevier, vol. 101(8), pages 1826-1836, September.
  34. Cramer, Erhard, 2004. "Logconcavity and unimodality of progressively censored order statistics," Statistics & Probability Letters, Elsevier, vol. 68(1), pages 83-90, June.
  35. Bedbur, Stefan & Johnen, Marcus & Kamps, Udo, 2019. "Inference from multiple samples of Weibull sequential order statistics," Journal of Multivariate Analysis, Elsevier, vol. 169(C), pages 381-399.
  36. Burkschat, M., 2009. "Multivariate dependence of spacings of generalized order statistics," Journal of Multivariate Analysis, Elsevier, vol. 100(6), pages 1093-1106, July.
  37. M. Burkschat & J. Navarro, 2014. "Asymptotic behavior of the hazard rate in systems based on sequential order statistics," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 77(8), pages 965-994, November.
  38. Tomasz Rychlik, 2010. "Evaluations of generalized order statistics from bounded populations," Statistical Papers, Springer, vol. 51(1), pages 165-177, January.
  39. N. Balakrishnan & U. Kamps & M. Kateri, 2012. "A sequential order statistics approach to step-stress testing," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 64(2), pages 303-318, April.
  40. Mariusz Bieniek & Krystyna Macia̧g, 2018. "Uniqueness of characterization of absolutely continuous distributions by regressions of generalized order statistics," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 102(3), pages 359-380, July.
  41. Félix Belzunce & Carolina Martínez-Riquelme & José A. Mercader & José M. Ruiz, 2021. "Comparisons of policies based on relevation and replacement by a new one unit in reliability," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 30(1), pages 211-227, March.
  42. Torrado Robles, Nuria, 2011. "On stochastic properties between some ordered random variables," DES - Working Papers. Statistics and Econometrics. WS ws110603, Universidad Carlos III de Madrid. Departamento de Estadística.
  43. Eric Beutner, 2008. "Nonparametric inference for sequential k-out-of-n systems," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 60(3), pages 605-626, September.
  44. Tzong-Ru Tsai & Yuhlong Lio & Hua Xin & Hoang Pham, 2021. "Parameter Estimation for Composite Dynamical Systems Based on Sequential Order Statistics from Burr Type XII Mixture Distribution," Mathematics, MDPI, vol. 9(8), pages 1-17, April.
  45. Hu, Taizhong & Zhuang, Weiwei, 2005. "A note on stochastic comparisons of generalized order statistics," Statistics & Probability Letters, Elsevier, vol. 72(2), pages 163-170, April.
  46. Kumar Mahesh & Ramyamol P. C., 2019. "Optimal Design of Reliability Acceptance Sampling Plan Based on Sequential Order Statistics," Stochastics and Quality Control, De Gruyter, vol. 34(2), pages 87-94, December.
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