{"title":"订单统计最小值(最大值)的加权累积残差(过去)不精确性","authors":"S. Daneshi, A. Nezakati, S. Tahmasebi","doi":"10.19139/soic-2310-5070-695","DOIUrl":null,"url":null,"abstract":"In this paper, we propose a measure of weighted cumulative residual inaccuracy between survival function of the first-order statistic and parent survival function F̄ . We also consider weighted cumulative inaccuracy measure between distribution of the lastorder statistic and parent distribution F . For these concepts, we obtain some reliability properties and characterization results such as relationships with other functions, bounds, stochastic ordering and effect of linear transformation. Dynamic versions of these weighted measures are considered.","PeriodicalId":93376,"journal":{"name":"Statistics, optimization & information computing","volume":"8 1","pages":"110-126"},"PeriodicalIF":0.0000,"publicationDate":"2020-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Weighted Cumulative Residual (Past) Inaccuracy For Minimum (Maximum) of Order Statistics\",\"authors\":\"S. Daneshi, A. Nezakati, S. Tahmasebi\",\"doi\":\"10.19139/soic-2310-5070-695\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we propose a measure of weighted cumulative residual inaccuracy between survival function of the first-order statistic and parent survival function F̄ . We also consider weighted cumulative inaccuracy measure between distribution of the lastorder statistic and parent distribution F . For these concepts, we obtain some reliability properties and characterization results such as relationships with other functions, bounds, stochastic ordering and effect of linear transformation. Dynamic versions of these weighted measures are considered.\",\"PeriodicalId\":93376,\"journal\":{\"name\":\"Statistics, optimization & information computing\",\"volume\":\"8 1\",\"pages\":\"110-126\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-02-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Statistics, optimization & information computing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.19139/soic-2310-5070-695\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Statistics, optimization & information computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.19139/soic-2310-5070-695","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Weighted Cumulative Residual (Past) Inaccuracy For Minimum (Maximum) of Order Statistics
In this paper, we propose a measure of weighted cumulative residual inaccuracy between survival function of the first-order statistic and parent survival function F̄ . We also consider weighted cumulative inaccuracy measure between distribution of the lastorder statistic and parent distribution F . For these concepts, we obtain some reliability properties and characterization results such as relationships with other functions, bounds, stochastic ordering and effect of linear transformation. Dynamic versions of these weighted measures are considered.