Comparison of order statistics in a random sequence to the same statistics with i.i.d. variables
ESAIM: PS, 10 (2006) 1-10
Published online: 2005-12-16
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
A stochastic comparison result about hazard rate ordering of two parallel systems comprising of geometric components
Jiantian WangStatistics & Probability Letters 106 86 (2015)
DOI: 10.1016/j.spl.2015.07.006
See this article
COMPARISONS OF SERIES AND PARALLEL SYSTEMS WITH HETEROGENEOUS COMPONENTS
Weiyong Ding, Gaofeng Da and Xiaohu LiProbability in the Engineering and Informational Sciences 28 (1) 39 (2014)
DOI: 10.1017/S0269964813000314
See this article
On extreme order statistics from heterogeneous beta distributions with applications
Peng Zhao, Lei Wang and Yiying ZhangCommunications in Statistics - Theory and Methods 46 (14) 7020 (2017)
DOI: 10.1080/03610926.2016.1143007
See this article
On the maxima of heterogeneous gamma variables with different shape and scale parameters
Peng Zhao and Yiying ZhangMetrika 77 (6) 811 (2014)
DOI: 10.1007/s00184-013-0466-4
See this article
Bounds for mixtures of order statistics from exponentials and applications
Eugen PăltăneaJournal of Multivariate Analysis 102 (5) 896 (2011)
DOI: 10.1016/j.jmva.2011.01.006
See this article
STOCHASTIC COMPARISONS OF LARGEST ORDER STATISTICS FROM MULTIPLE-OUTLIER EXPONENTIAL MODELS
Peng Zhao and N. BalakrishnanProbability in the Engineering and Informational Sciences 26 (2) 159 (2012)
DOI: 10.1017/S0269964811000313
See this article
Some characterization results for parallel systems with two heterogeneous exponential components
Peng Zhao and N. BalakrishnanStatistics 45 (6) 593 (2011)
DOI: 10.1080/02331888.2010.485276
See this article
MRL ordering of parallel systems with two heterogeneous components
Peng Zhao and N. BalakrishnanJournal of Statistical Planning and Inference 141 (2) 631 (2011)
DOI: 10.1016/j.jspi.2010.07.013
See this article
Likelihood ratio order of parallel systems with heterogeneous Weibull components
Longxiang Fang and N. BalakrishnanMetrika 79 (6) 693 (2016)
DOI: 10.1007/s00184-015-0573-5
See this article
On the maxima of heterogeneous gamma variables
Yiying Zhang and Peng ZhaoCommunications in Statistics - Theory and Methods 46 (10) 5056 (2017)
DOI: 10.1080/03610926.2015.1091084
See this article
On the Skewness of Order Statistics in Multiple-Outlier Models
Subhash Kochar and Maochao XuJournal of Applied Probability 48 (01) 271 (2011)
DOI: 10.1017/S0021900200007762
See this article
Hazard rate ordering of the second-order statistics from multiple-outlier PHR samples
Xiong Cai, Yiying Zhang and Peng ZhaoStatistics 51 (3) 615 (2017)
DOI: 10.1080/02331888.2016.1265969
See this article
On the Lorenz ordering of order statistics from exponential populations and some applications
Gaofeng Da, Maochao Xu and N. BalakrishnanJournal of Multivariate Analysis 127 88 (2014)
DOI: 10.1016/j.jmva.2014.02.005
See this article
Characterization of MRL order of fail-safe systems with heterogeneous exponential components
Peng Zhao and N. BalakrishnanJournal of Statistical Planning and Inference 139 (9) 3027 (2009)
DOI: 10.1016/j.jspi.2009.02.006
See this article
New results on comparisons of parallel systems with heterogeneous gamma components
Peng Zhao and N. BalakrishnanStatistics & Probability Letters 81 (1) 36 (2011)
DOI: 10.1016/j.spl.2010.09.016
See this article
On stochastic comparisons of maximum order statistics from the location-scale family of distributions
Nil Kamal Hazra, Mithu Rani Kuiti, Maxim Finkelstein and Asok K. NandaJournal of Multivariate Analysis 160 31 (2017)
DOI: 10.1016/j.jmva.2017.06.001
See this article
On stochastic comparisons of minimum order statistics from the location–scale family of distributions
Nil Kamal Hazra, Mithu Rani Kuiti, Maxim Finkelstein and Asok K. NandaMetrika 81 (2) 105 (2018)
DOI: 10.1007/s00184-017-0636-x
See this article
Hazard rate comparison of parallel systems with heterogeneous gamma components
N. Balakrishnan and Peng ZhaoJournal of Multivariate Analysis 113 153 (2013)
DOI: 10.1016/j.jmva.2011.05.001
See this article
Necessary and sufficient conditions for stochastic orders between (n − r + 1)-out-of-n systems in proportional hazard (reversed hazard) rates model
Narayanaswamy Balakrishnan, Ghobad Barmalzan, Abedin Haidari and Amir T. Payandeh NajafabadiCommunications in Statistics - Theory and Methods 1 (2017)
DOI: 10.1080/03610926.2017.1406517
See this article
Stochastic comparisons of series systems with heterogeneous Weibull components
Longxiang Fang and Xinsheng ZhangStatistics & Probability Letters 83 (7) 1649 (2013)
DOI: 10.1016/j.spl.2013.03.012
See this article
Stochastic Comparisons of Order Statistics and Spacings: A Review
Subhash KocharISRN Probability and Statistics 2012 1 (2012)
DOI: 10.5402/2012/839473
See this article
Improved Ordering Results for Fail-Safe Systems with Exponential Components
N. Balakrishnan, Abedin Haidari and Ghobad BarmalzanCommunications in Statistics - Theory and Methods 44 (10) 2010 (2015)
DOI: 10.1080/03610926.2012.755204
See this article
On maximum order statistics from heterogeneous geometric variables
Peng Zhao and Feng SuAnnals of Operations Research 212 (1) 215 (2014)
DOI: 10.1007/s10479-012-1158-6
See this article
On the skewness of order statistics with applications
Subhash Kochar and Maochao XuAnnals of Operations Research 212 (1) 127 (2014)
DOI: 10.1007/s10479-012-1212-4
See this article
Stochastic comparisons between extreme order statistics from scale models
Nuria TorradoStatistics 51 (6) 1359 (2017)
DOI: 10.1080/02331888.2017.1316505
See this article
Stochastic comparisons on sample extremes of dependent and heterogenous observations
Rui Fang, Chen Li and Xiaohu LiStatistics 50 (4) 930 (2016)
DOI: 10.1080/02331888.2015.1119151
See this article
On the comparison in hazard rate ordering of fail-safe systems
Eugen PăltăneaJournal of Statistical Planning and Inference 138 (7) 1993 (2008)
DOI: 10.1016/j.jspi.2007.08.001
See this article
Asymptotic reliability theory of k-out-of-n systems
Nuria Torrado and J.J.P. VeermanJournal of Statistical Planning and Inference 142 (9) 2646 (2012)
DOI: 10.1016/j.jspi.2012.03.015
See this article
Right Spread Order of the Second-Order Statistic from Heterogeneous Exponential Random Variables
Peng Zhao, Xiaohu Li and Gaofeng DaCommunications in Statistics - Theory and Methods 40 (17) 3070 (2011)
DOI: 10.1080/03610926.2010.493277
See this article
The optimal allocation of active redundancies to k-out-of-n systems with respect to hazard rate ordering
Weiyong Ding and Xiaohu LiJournal of Statistical Planning and Inference 142 (7) 1878 (2012)
DOI: 10.1016/j.jspi.2012.02.025
See this article
Comparisons of -out-of- systems with heterogenous components
Weiyong Ding, Yiying Zhang and Peng ZhaoStatistics & Probability Letters 83 (2) 493 (2013)
DOI: 10.1016/j.spl.2012.10.012
See this article
On the right spread ordering of parallel systems with two heterogeneous components
Peng Zhao and N. BalakrishnanStatistics 48 (2) 447 (2014)
DOI: 10.1080/02331888.2012.719516
See this article
Comparisons of Largest Order Statistics from Multiple-outlier Gamma Models
Peng Zhao and N. BalakrishnanMethodology and Computing in Applied Probability 17 (3) 617 (2015)
DOI: 10.1007/s11009-013-9377-0
See this article
Dispersive ordering of fail-safe systems with heterogeneous exponential components
Peng Zhao and N. BalakrishnanMetrika 74 (2) 203 (2011)
DOI: 10.1007/s00184-010-0297-5
See this article
Further results for parallel systems with two heterogeneous exponential components
Rongfang Yan, Gaofeng Da and Peng ZhaoStatistics 47 (5) 1128 (2013)
DOI: 10.1080/02331888.2012.704632
See this article
Stochastic comparisons of order statistics in the scale model
Baha-Eldin Khaledi, Sepideh Farsinezhad and Subhash C. KocharJournal of Statistical Planning and Inference 141 (1) 276 (2011)
DOI: 10.1016/j.jspi.2010.06.006
See this article
Likelihood ratio order of the second order statistic from independent heterogeneous exponential random variables
Peng Zhao, Xiaohu Li and N. BalakrishnanJournal of Multivariate Analysis 100 (5) 952 (2009)
DOI: 10.1016/j.jmva.2008.09.010
See this article
SOME NEW RESULTS ON THE LARGEST ORDER STATISTICS FROM MULTIPLE-OUTLIER GAMMA MODELS
Peng Zhao, Yanni Hu and Yiying ZhangProbability in the Engineering and Informational Sciences 29 (4) 597 (2015)
DOI: 10.1017/S0269964815000212
See this article
On fail‐safe systems under random shocks
Yiying Zhang, Ebrahim Amini‐Seresht and Peng ZhaoApplied Stochastic Models in Business and Industry 35 (3) 591 (2019)
DOI: 10.1002/asmb.2349
See this article
Modified proportional hazard rates and proportional reversed hazard rates models via Marshall–Olkin distribution and some stochastic comparisons
Narayanaswamy Balakrishnan, Ghobad Barmalzan and Abedin HaidariJournal of the Korean Statistical Society 47 (1) 127 (2018)
DOI: 10.1016/j.jkss.2017.10.003
See this article
Stochastic comparisons in systems with Frèchet distributed components
Nitin Gupta, Lakshmi Kanta Patra and Somesh KumarOperations Research Letters 43 (6) 612 (2015)
DOI: 10.1016/j.orl.2015.09.009
See this article
On extreme order statistics from heterogeneous Weibull variables
Peng Zhao, Yiying Zhang and Jianfei QiaoStatistics 50 (6) 1376 (2016)
DOI: 10.1080/02331888.2016.1230859
See this article
LIKELIHOOD RATIO ORDERING OF PARALLEL SYSTEMS WITH HETEROGENEOUS SCALED COMPONENTS
Jiantian WangProbability in the Engineering and Informational Sciences 32 (3) 460 (2018)
DOI: 10.1017/S0269964817000249
See this article
A stochastic inequality for the largest order statistics from heterogeneous gamma variables
Peng Zhao and N. BalakrishnanJournal of Multivariate Analysis 129 145 (2014)
DOI: 10.1016/j.jmva.2014.04.003
See this article
Ordering Results for Order Statistics from Two Heterogeneous Marshall-Olkin Generalized Exponential Distributions
Narayanaswamy Balakrishnan, Ghobad Barmalzan and Abedin HaidariSankhya B 80 (2) 292 (2017)
DOI: 10.1007/s13571-017-0141-2
See this article
Advances in Directional and Linear Statistics
Subhash Kochar and Maochao XuAdvances in Directional and Linear Statistics 113 (2011)
DOI: 10.1007/978-3-7908-2628-9_8
See this article
On stochastic comparisons of k-out-of-n systems with Weibull components
Narayanaswamy Balakrishnan, Ghobad Barmalzan and Abedin HaidariJournal of Applied Probability 55 (1) 216 (2018)
DOI: 10.1017/jpr.2018.14
See this article
ORDERING PROPERTIES OF ORDER STATISTICS FROM HETEROGENEOUS POPULATIONS: A REVIEW WITH AN EMPHASIS ON SOME RECENT DEVELOPMENTS
N. Balakrishnan and Peng ZhaoProbability in the Engineering and Informational Sciences 27 (4) 403 (2013)
DOI: 10.1017/S0269964813000156
See this article
LIKELIHOOD RATIO AND HAZARD RATE ORDERINGS OF THE MAXIMA IN TWO MULTIPLE-OUTLIER GEOMETRIC SAMPLES
Baojun Du, Peng Zhao and N. BalakrishnanProbability in the Engineering and Informational Sciences 26 (3) 375 (2012)
DOI: 10.1017/S026996481200006X
See this article
MONOTONICITY PROPERTIES OF RESIDUAL LIFETIMES OF PARALLEL SYSTEMS AND INACTIVITY TIMES OF SERIES SYSTEMS WITH HETEROGENEOUS COMPONENTS
Weiyong Ding, Xiaohu Li and Narayanaswamy BalakrishnanProbability in the Engineering and Informational Sciences 26 (1) 61 (2012)
DOI: 10.1017/S0269964811000234
See this article
ON PARALLEL SYSTEMS WITH HETEROGENEOUS GAMMA COMPONENTS
Peng ZhaoProbability in the Engineering and Informational Sciences 25 (3) 369 (2011)
DOI: 10.1017/S0269964811000064
See this article
On the Skewness of Order Statistics in Multiple-Outlier Models
Subhash Kochar and Maochao XuJournal of Applied Probability 48 (1) 271 (2011)
DOI: 10.1239/jap/1300198149
See this article
ORDERING CONVOLUTIONS OF HETEROGENEOUS EXPONENTIAL AND GEOMETRIC DISTRIBUTIONS REVISITED
Tiantian Mao, Taizhong Hu and Peng ZhaoProbability in the Engineering and Informational Sciences 24 (3) 329 (2010)
DOI: 10.1017/S026996481000001X
See this article
EQUIVALENT CHARACTERIZATIONS ON ORDERINGS OF ORDER STATISTICS AND SAMPLE RANGES
Tiantian Mao and Taizhong HuProbability in the Engineering and Informational Sciences 24 (2) 245 (2010)
DOI: 10.1017/S0269964809990258
See this article
STOCHASTIC ORDER OF SAMPLE RANGE FROM HETEROGENEOUS EXPONENTIAL RANDOM VARIABLES
Peng Zhao and Xiaohu LiProbability in the Engineering and Informational Sciences 23 (1) 17 (2009)
DOI: 10.1017/S0269964809000023
See this article
CHARACTERIZATION ORDERING RESULTS FOR LARGEST ORDER STATISTICS FROM HETEROGENEOUS AND HOMOGENEOUS EXPONENTIATED GENERALIZED GAMMA VARIABLES
Abedin Haidari and Amir T. Payandeh NajafabadiProbability in the Engineering and Informational Sciences 33 (3) 460 (2019)
DOI: 10.1017/S0269964818000220
See this article