{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T05:26:39Z","timestamp":1735709199859,"version":"3.32.0"},"reference-count":58,"publisher":"Elsevier","isbn-type":[{"type":"print","value":"9780444820914"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[1998]]},"DOI":"10.1016\/s0169-7161(98)16014-5","type":"book-chapter","created":{"date-parts":[[2005,4,18]],"date-time":"2005-04-18T19:58:53Z","timestamp":1113854333000},"page":"335-373","source":"Crossref","is-referenced-by-count":2,"title":["12 Order statistics: Asymptotics in applications"],"prefix":"10.1016","author":[{"given":"Pranab Kumar","family":"Sen","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/S0169-7161(98)16014-5_bib1","doi-asserted-by":"crossref","first-page":"577","DOI":"10.1214\/aoms\/1177699450","article-title":"A note on quantiles in large samples","volume":"37","author":"Bahadur","year":"1966","journal-title":"Ann. Math. Statist."},{"year":"1991","author":"Barlow","series-title":"Statistical Reliability Theory and Applications: Probability Models","key":"10.1016\/S0169-7161(98)16014-5_bib2"},{"key":"10.1016\/S0169-7161(98)16014-5_bib3","doi-asserted-by":"crossref","first-page":"1034","DOI":"10.1214\/aos\/1176342823","article-title":"Convergence of sample paths of normalized sums of induced order statistics","volume":"2","author":"Bhattacharya","year":"1974","journal-title":"Ann. Statist."},{"key":"10.1016\/S0169-7161(98)16014-5_bib4","doi-asserted-by":"crossref","first-page":"621","DOI":"10.1214\/aos\/1176343468","article-title":"An invariance principle in regression analysis","volume":"4","author":"Bhattacharya","year":"1976","journal-title":"Ann. Statist."},{"key":"10.1016\/S0169-7161(98)16014-5_bib5","doi-asserted-by":"crossref","first-page":"1400","DOI":"10.1214\/aos\/1176347757","article-title":"Kernel and nearest neighbor estimation of a conditional quantile","volume":"17","author":"Bhattacharya","year":"1990","journal-title":"Ann. Statist."},{"key":"10.1016\/S0169-7161(98)16014-5_bib6","series-title":"Analysis of Censored Data","first-page":"25","article-title":"On Kolmogorov-Smirnov type tests for NB(W)UE alternatives under some censoring schemes","author":"Bhattacharjee","year":"1995"},{"year":"1968","author":"Billingsley","series-title":"Convergence of Probability Measures","key":"10.1016\/S0169-7161(98)16014-5_bib7"},{"key":"10.1016\/S0169-7161(98)16014-5_bib8","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1111\/j.2517-6161.1972.tb00899.x","article-title":"Regression models and life tables (with discussion)","volume":"74","author":"Cox","year":"1972","journal-title":"J. Roy. Statist. Soc. Ser. B"},{"key":"10.1016\/S0169-7161(98)16014-5_bib9","doi-asserted-by":"crossref","first-page":"405","DOI":"10.1098\/rspa.1945.0011","article-title":"The statistical theory of the strength of bundles of threads","volume":"183","author":"Daniels","year":"1945","journal-title":"Proc. Roy. Soc. Ser. A"},{"key":"10.1016\/S0169-7161(98)16014-5_bib10","first-page":"295","article-title":"Concomitants of order statistics","volume":"45","author":"David","year":"1973","journal-title":"Bull. Internat. Statist. Inst."},{"year":"1981","author":"David","series-title":"Order Statistics","key":"10.1016\/S0169-7161(98)16014-5_bib11"},{"year":"1982","author":"Efron","series-title":"The Jackknife, the Bootstrap, and Other Resampling Plans","key":"10.1016\/S0169-7161(98)16014-5_bib12"},{"key":"10.1016\/S0169-7161(98)16014-5_bib13","series-title":"Handbook of Statistics, Vol. 4: Nonparametric Methods","doi-asserted-by":"crossref","first-page":"359","DOI":"10.1016\/S0169-7161(84)04019-0","article-title":"Order Statistics","author":"Galambos","year":"1984"},{"key":"10.1016\/S0169-7161(98)16014-5_bib14","first-page":"346","article-title":"Bootstrap confidence intervals for conditional quantile functions","volume":"52","author":"Gangopadhyay","year":"1990","journal-title":"Sankhy\u0101 Ser. A"},{"key":"10.1016\/S0169-7161(98)16014-5_bib15","series-title":"Nonparametric Statistics and Related Topics","first-page":"141","article-title":"Contiguity in nonparametric estimation of a conditional functional","author":"Gangopadhyay","year":"1992"},{"key":"10.1016\/S0169-7161(98)16014-5_bib16","series-title":"Statistics and Probability, a Raghu Raj Bahadur Festschrift","first-page":"219","article-title":"Contiguity in Bahadur-type representation of a conditional quantile and application in conditional quantile process","author":"Gangopadhyay","year":"1993"},{"key":"10.1016\/S0169-7161(98)16014-5_bib17","doi-asserted-by":"crossref","first-page":"1957","DOI":"10.1214\/aoms\/1177693063","article-title":"A new proof of the Bahadur representation and an application","volume":"42","author":"Ghosh","year":"1971","journal-title":"Ann. Math. Statist."},{"key":"10.1016\/S0169-7161(98)16014-5_bib18","doi-asserted-by":"crossref","first-page":"650","DOI":"10.1214\/aoms\/1177693415","article-title":"On a classof rank order tests for regression with partially informed stochastic predictors","volume":"42","author":"Ghosh","year":"1971","journal-title":"Ann. Math. Statist."},{"key":"10.1016\/S0169-7161(98)16014-5_bib19","doi-asserted-by":"crossref","first-page":"305","DOI":"10.1214\/aos\/1176348524","article-title":"Regression rank scores and regression quantiles","volume":"20","author":"Gutenbrunner","year":"1992","journal-title":"Ann. Statist."},{"key":"10.1016\/S0169-7161(98)16014-5_bib20","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1214\/aoms\/1177730196","article-title":"A class of statistics with asymptotically normal distribution","volume":"19","author":"Hoeffding","year":"1948","journal-title":"Ann. Math. Statist."},{"key":"10.1016\/S0169-7161(98)16014-5_bib21","doi-asserted-by":"crossref","first-page":"1136","DOI":"10.1214\/aoms\/1177692466","article-title":"Testing whether new is better than used","volume":"43","author":"Hollander","year":"1972","journal-title":"Ann. Math. Statist."},{"key":"10.1016\/S0169-7161(98)16014-5_bib22","doi-asserted-by":"crossref","first-page":"585","DOI":"10.1093\/biomet\/62.3.585","article-title":"Testing for the mean residual life","volume":"62","author":"Hollander","year":"1975","journal-title":"Biometrika"},{"year":"1996","author":"Jure\u010dkov\u00e1","series-title":"Robust Statistical Procedures: Asymptotics and Interrelations","key":"10.1016\/S0169-7161(98)16014-5_bib23"},{"key":"10.1016\/S0169-7161(98)16014-5_bib24","doi-asserted-by":"crossref","first-page":"457","DOI":"10.1080\/01621459.1958.10501452","article-title":"Nonparametric estimation from incomplete observations","volume":"53","author":"Kaplan","year":"1958","journal-title":"J. Amer. Statist. Assoc."},{"key":"10.1016\/S0169-7161(98)16014-5_bib25","doi-asserted-by":"crossref","first-page":"33","DOI":"10.2307\/1913643","article-title":"Regression quantiles","volume":"46","author":"Koenker","year":"1978","journal-title":"Econometrica"},{"key":"10.1016\/S0169-7161(98)16014-5_bib26","doi-asserted-by":"crossref","first-page":"685","DOI":"10.1080\/03610927808827658","article-title":"Testing for new better than used in expectation","volume":"7","author":"Koul","year":"1978","journal-title":"Commun. Statist. Theor. Meth. A"},{"key":"10.1016\/S0169-7161(98)16014-5_bib27","doi-asserted-by":"crossref","DOI":"10.1214\/lnms\/1215461502","article-title":"Weighted Empiricals and Linear Models","author":"Koul","year":"1992"},{"year":"1971","author":"Puri","series-title":"Nonparametric Methods in Multivariate Analysis","key":"10.1016\/S0169-7161(98)16014-5_bib28"},{"year":"1985","author":"Puri","series-title":"Nonparametric Methods in General Linear Models","key":"10.1016\/S0169-7161(98)16014-5_bib29"},{"year":"1962","series-title":"Contributions to Order Statistics","key":"10.1016\/S0169-7161(98)16014-5_bib30"},{"key":"10.1016\/S0169-7161(98)16014-5_bib31","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1177\/0008068319600101","article-title":"On some convergence properties of U-statistics","volume":"10","author":"Sen","year":"1960","journal-title":"Calcutta Statist. Assoc. Bull."},{"key":"10.1016\/S0169-7161(98)16014-5_bib32","first-page":"51","article-title":"On some properties of the rank weighted means","volume":"16","author":"Sen","year":"1964","journal-title":"J. Ind. Soc. Agri. Statist."},{"key":"10.1016\/S0169-7161(98)16014-5_bib33","doi-asserted-by":"crossref","first-page":"2137","DOI":"10.1214\/aoms\/1177696715","article-title":"A note on order statistics from heterogeneous distributions","volume":"41","author":"Sen","year":"1970","journal-title":"Ann. Math. Statist."},{"key":"10.1016\/S0169-7161(98)16014-5_bib34","doi-asserted-by":"crossref","first-page":"1247","DOI":"10.1214\/aop\/1176996097","article-title":"A note on invariance principles for induced order statistics","volume":"4","author":"Sen","year":"1976","journal-title":"Ann. Probab."},{"key":"10.1016\/S0169-7161(98)16014-5_bib35","doi-asserted-by":"crossref","first-page":"414","DOI":"10.1214\/aos\/1176344624","article-title":"Weak convergence of some quantile processes arising in progressively censored tests","volume":"7","author":"Sen","year":"1979","journal-title":"Ann. Statist."},{"key":"10.1016\/S0169-7161(98)16014-5_bib36","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1214\/aos\/1176345336","article-title":"The Cox regression model, invariance principles for some induced quantile processes and some repeated significance tests","volume":"9","author":"Sen","year":"1981","journal-title":"Ann. Statist."},{"key":"10.1016\/S0169-7161(98)16014-5_bib37","doi-asserted-by":"crossref","first-page":"1691","DOI":"10.1080\/03610928108828143","article-title":"Some invariance principles for mixed rank statistics and induced order statistics and some applications","volume":"10","author":"Sen","year":"1981","journal-title":"Commun. Statist. Theor. Meth. A"},{"year":"1981","author":"Sen","series-title":"Sequential Nonparametrics: Invariance Principles and Statistical Inference","key":"10.1016\/S0169-7161(98)16014-5_bib38"},{"key":"10.1016\/S0169-7161(98)16014-5_bib39","doi-asserted-by":"crossref","first-page":"450","DOI":"10.1214\/aos\/1176350714","article-title":"Functional jackknifing: Rationality and general asymptotics","volume":"16","author":"Sen","year":"1988","journal-title":"Ann. Statist."},{"key":"10.1016\/S0169-7161(98)16014-5_bib40","first-page":"394","article-title":"Functional approaches in resampling plans: A review of some recent developments","volume":"50","author":"Sen","year":"1988","journal-title":"Sankhy\u0101 Ser. A"},{"key":"10.1016\/S0169-7161(98)16014-5_bib41","series-title":"Statistical Data analysis and Inference","first-page":"269","article-title":"Whither delete-k jackknifing for smooth statistical functionals","author":"Sen","year":"1989"},{"key":"10.1016\/S0169-7161(98)16014-5_bib42","series-title":"Probability and Statistics","first-page":"66","article-title":"Resampling methods for the extrema of certain sample functions","author":"Sen","year":"1993"},{"key":"10.1016\/S0169-7161(98)16014-5_bib43","first-page":"516","article-title":"Perspectives in multivariate nonparametrics: Conditional functionals and ANOCOVA models","volume":"55","author":"Sen","year":"1993","journal-title":"Sankhy\u0101 Ser. A"},{"key":"10.1016\/S0169-7161(98)16014-5_bib44","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1080\/10485259408832585","article-title":"Regression quantiles in nonparametric regression","volume":"3","author":"Sen","year":"1994","journal-title":"J. Nonparamet. Statist."},{"key":"10.1016\/S0169-7161(98)16014-5_bib45","series-title":"Extreme Value Theory and Applications","first-page":"77","article-title":"Extreme value theory for fibre bundles","author":"Sen","year":"1994"},{"key":"10.1016\/S0169-7161(98)16014-5_bib46","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1016\/0378-3758(94)00007-I","article-title":"Statistical Analysis of some reliability models: Parametrics, semi-parametrics and nonparametrics","volume":"44","author":"Sen","year":"1995","journal-title":"J. Statist. Plan. Infer."},{"key":"10.1016\/S0169-7161(98)16014-5_bib47","first-page":"331","article-title":"Robust and nonparametric methods in linear models with mixed effects","volume":"7","author":"Sen","year":"1995","journal-title":"Tetra Mount. Math. J."},{"key":"10.1016\/S0169-7161(98)16014-5_bib48","series-title":"Analysis of Censored Data","first-page":"175","article-title":"Censoring in theory and practice: statistical controversies and perspectives","author":"Sen","year":"1995"},{"key":"10.1016\/S0169-7161(98)16014-5_bib49","series-title":"A Festschrift for J. Medhi","first-page":"29","article-title":"Statistical functionals, Hadamard differentiability and martingales","author":"Sen","year":"1996"},{"key":"10.1016\/S0169-7161(98)16014-5_bib50","doi-asserted-by":"crossref","first-page":"1586","DOI":"10.1214\/aos\/1032298286","article-title":"Regression rank scores estimation in ANOCOVA","volume":"24","author":"Sen","year":"1996","journal-title":"Ann. Statist."},{"key":"10.1016\/S0169-7161(98)16014-5_bib51","series-title":"Reliability and Quality Control","first-page":"281","article-title":"Nonparametric estimators of avaialability under provisions of spare and repair, I","author":"Sen","year":"1986"},{"key":"10.1016\/S0169-7161(98)16014-5_bib52","series-title":"Proc. Sec. Internat. Trien. Calcutta Symp. Prob. Statist.","first-page":"283","article-title":"Testing for a property of aging under renewals: Rationality and general asymptotics","author":"Sen","year":"1996"},{"key":"10.1016\/S0169-7161(98)16014-5_bib53","doi-asserted-by":"crossref","first-page":"297","DOI":"10.1214\/aos\/1176342367","article-title":"Limiting behavior of the extrema of certain sample functions","volume":"1","author":"Sen","year":"1973","journal-title":"Ann. Statist."},{"year":"1993","author":"Sen","series-title":"Large Sample Methods in Statistics: An Introduction with Applications","key":"10.1016\/S0169-7161(98)16014-5_bib54"},{"year":"1980","author":"Serfling","series-title":"Approximation Theorems of Mathematical Statistics","key":"10.1016\/S0169-7161(98)16014-5_bib55"},{"key":"10.1016\/S0169-7161(98)16014-5_bib56","doi-asserted-by":"crossref","first-page":"76","DOI":"10.1214\/aos\/1176346393","article-title":"Generalized L-, M- and R-statistics","volume":"12","author":"Serfling","year":"1984","journal-title":"Ann. Statist."},{"year":"1986","author":"Shorack","series-title":"Empirical Processes with Applications to Statistics","key":"10.1016\/S0169-7161(98)16014-5_bib57"},{"key":"10.1016\/S0169-7161(98)16014-5_bib58","doi-asserted-by":"crossref","first-page":"309","DOI":"10.1214\/aoms\/1177730385","article-title":"On the asymptotic distribution of differentiable statistical functionals","volume":"18","author":"Von Mises","year":"1947","journal-title":"Ann. Math. Statist."}],"container-title":["Handbook of Statistics","Order Statistics: Theory & Methods"],"original-title":[],"language":"en","deposited":{"date-parts":[[2024,12,31]],"date-time":"2024-12-31T19:31:05Z","timestamp":1735673465000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0169716198160145"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1998]]},"ISBN":["9780444820914"],"references-count":58,"URL":"https:\/\/doi.org\/10.1016\/s0169-7161(98)16014-5","relation":{},"ISSN":["0169-7161"],"issn-type":[{"type":"print","value":"0169-7161"}],"subject":[],"published":{"date-parts":[[1998]]}}}