应用数学学报
應用數學學報
응용수학학보
ACTA MATHEMATICAE APPLICATAE SINICA
2010年
2期
297-307
,共11页
谢民育%吴茗%熊明%宁建辉
謝民育%吳茗%熊明%寧建輝
사민육%오명%웅명%저건휘
指令性抽样%参数估计%EM算法
指令性抽樣%參數估計%EM算法
지령성추양%삼수고계%EM산법
instruction sampling%parameter estimate%EM algorithm
指令性抽样下的样本往往不具有代表性,因此仅用它们来推断总体将是不适合的,这篇文章基于观察信息,利用概率统计方法将没有发出调查指令的样本信息补充出来,然后利用观察信息和补充信息一起来对总体进行推断.具体我们给出了总体均值和方差参数估计的迭代公式,并给出它们在经济犯罪调查和流行病调查中的应用.
指令性抽樣下的樣本往往不具有代錶性,因此僅用它們來推斷總體將是不適閤的,這篇文章基于觀察信息,利用概率統計方法將沒有髮齣調查指令的樣本信息補充齣來,然後利用觀察信息和補充信息一起來對總體進行推斷.具體我們給齣瞭總體均值和方差參數估計的迭代公式,併給齣它們在經濟犯罪調查和流行病調查中的應用.
지령성추양하적양본왕왕불구유대표성,인차부용타문래추단총체장시불괄합적,저편문장기우관찰신식,이용개솔통계방법장몰유발출조사지령적양본신식보충출래,연후이용관찰신식화보충신식일기래대총체진행추단.구체아문급출료총체균치화방차삼수고계적질대공식,병급출타문재경제범죄조사화류행병조사중적응용.
It is unsuitable for us to infer a population only by sample from instruction sampling because it has no representativeness. In this paper, relying on observed information, we have supplemented sample information which has not received instruction of investigation by probability and statistics method. Then we can infer the population using observed and supplementary information. Particularly, we have obtained iterative formula about estimation of population mean and variance and its application in investigation of economy crime and epidemic.