{"title":"利用估算的子群指标估算子群密度","authors":"Søren Feodor Nielsen","doi":"10.1080/27684520.2023.2279720","DOIUrl":null,"url":null,"abstract":"In this paper, I consider the problem of how to estimate the density in a subgroup when some of the subgroupindicatorsaremissingatrandom.Fourdifferentimputationestimatorsarecomparedtoeachotherandtoaninverseprobabilityweightedestimatorsuggestedpreviously.Anoptimalestimatorisderived.I alsoprovideexpressionsfortheasymptoticvarianceoftheimputationestimatorsincludingtermsoforder1 /( nh ) and 1 / n .","PeriodicalId":200461,"journal":{"name":"Research in Statistics","volume":"4 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Estimating the density in a subgroup with imputed subgroup indicators\",\"authors\":\"Søren Feodor Nielsen\",\"doi\":\"10.1080/27684520.2023.2279720\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, I consider the problem of how to estimate the density in a subgroup when some of the subgroupindicatorsaremissingatrandom.Fourdifferentimputationestimatorsarecomparedtoeachotherandtoaninverseprobabilityweightedestimatorsuggestedpreviously.Anoptimalestimatorisderived.I alsoprovideexpressionsfortheasymptoticvarianceoftheimputationestimatorsincludingtermsoforder1 /( nh ) and 1 / n .\",\"PeriodicalId\":200461,\"journal\":{\"name\":\"Research in Statistics\",\"volume\":\"4 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-10-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Research in Statistics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/27684520.2023.2279720\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Research in Statistics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/27684520.2023.2279720","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Estimating the density in a subgroup with imputed subgroup indicators
In this paper, I consider the problem of how to estimate the density in a subgroup when some of the subgroupindicatorsaremissingatrandom.Fourdifferentimputationestimatorsarecomparedtoeachotherandtoaninverseprobabilityweightedestimatorsuggestedpreviously.Anoptimalestimatorisderived.I alsoprovideexpressionsfortheasymptoticvarianceoftheimputationestimatorsincludingtermsoforder1 /( nh ) and 1 / n .
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