On estimating of the number of constituents of a finite mixture of continuous distributions
On estimating of the number of constituents of a finite mixture of continuous distributions
复制标题
关于连续分布的有限混合的成分数量的估计
DOI：
10.1007/bf02481094
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发表时间：
1985
影响因子：
1
通讯作者：
J. Henna
中科院分区：
文献类型：
--
作者：
J. Henna
摘要假定某一给定族的分布是一个混合体，得到了一个充要条件，在这个充要条件下，实际上是一个有限混合体。在混合是有限的假设下，给出了构成混合的分布个数的一个估计式，并研究了它的渐近性质。
SummarySuppose thatH is a mixture of distributions for a given familyF A necessary and sufficient condition is obtained under whichH is, in fact, a finite mixture. An estimator of the number of distributions constituting the mixture is proposed assuming that the mixture is finite and its asymptotic properties are investigated.