中文摘要：

考虑同分布宽象限相依（WOD）随机样本未知密度函数的一类递归型密度核估计量.利用WOD序列的Rosenthal型不等式,在一定条件下证明了该估计量的逐点强相合性,并讨论了失效率函数估计的逐点强相合性.

英文摘要：

This paper deals with a kind of recursive density kernel estimator for unknown probability density function based on widely orthant dependent（WOD）sample.By the Rosenthal-type inequality for WOD sequence,we studied the pointwise strong consistency for the given estimator under suitable conditions.As application,the consistency of the failure rate function estimator was discussed.