{"title":"Progressively Type-II Right Censored Order Statistics from Hjorth Distribution and Related Inference","authors":"Narinder Pushkarna, J. Saran, Kanika Verma","doi":"10.19139/soic-2310-5070-751","DOIUrl":null,"url":null,"abstract":"In this paper some recurrence relations satisfied by single and product moments of progressively Type-II right censored order statistics from Hjorth distribution have been obtained. Then we use these results to compute the moments for all sample sizes and all censoring schemes (R1, R2, ..., Rm),m ≤ n, which allow us to obtain BLUEs of location and scale parameters based on progressively Type-II right censored samples. The best linear unbiased predictors of censored failure times are then discussed briefly. Finally, a numerical example with real data is presented to illustrate the inferential method developed here.","PeriodicalId":93376,"journal":{"name":"Statistics, optimization & information computing","volume":"8 1","pages":"481-498"},"PeriodicalIF":0.0000,"publicationDate":"2020-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Statistics, optimization & information computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.19139/soic-2310-5070-751","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
In this paper some recurrence relations satisfied by single and product moments of progressively Type-II right censored order statistics from Hjorth distribution have been obtained. Then we use these results to compute the moments for all sample sizes and all censoring schemes (R1, R2, ..., Rm),m ≤ n, which allow us to obtain BLUEs of location and scale parameters based on progressively Type-II right censored samples. The best linear unbiased predictors of censored failure times are then discussed briefly. Finally, a numerical example with real data is presented to illustrate the inferential method developed here.