论文标题
通过转换的平均残留寿命函数的无边界估计器
Boundary-free Estimators of the Mean Residual Life Function by Transformation
论文作者
论文摘要
我们提出了两个新的剩余寿命函数的新内核型估计器$ m_x（t）$限制或半结合间隔的分布。尽管不像内核密度估计中的边界问题那样严重，但仍需要消除平均残留寿命函数的天真核心估计器中发生的边界偏差问题。在本文中，我们利用了徒的属性。此外，我们提出的方法保留了平均值属性，而天真核估计器无法完成。一些仿真结果显示了估计量的性能和实际数据分析，将在本文的最后一部分中介绍。
We propose two new kernel-type estimators of the mean residual life function $m_X(t)$ of bounded or half-bounded interval supported distributions. Though not as severe as the boundary problems in the kernel density estimation, eliminating the boundary bias problems that occur in the naive kernel estimator of the mean residual life function is needed. In this article, we utilize the property of bijective transformation. Furthermore, our proposed methods preserve the mean value property, which cannot be done by the naive kernel estimator. Some simulation results showing the estimators' performances and a real data analysis will be presented in the last part of this article.
