EXPLOITING THE WAITING TIME PARADOX: APPLICATIONS OF THE SIZE-BIASING TRANSFORMATION
EXPLOITING THE WAITING TIME PARADOX: APPLICATIONS OF THE SIZE-BIASING TRANSFORMATION
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DOI：
10.1017/s026996480606013x
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发表时间：
2006-03
影响因子：
1.1
通讯作者：
Mark Brown
中科院分区：
文献类型：
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作者：
Mark Brown
我们考虑变换\(T\)，它将一个分布\(F\)变换为在与\(F\)相对应的平稳更新过程中覆盖一个固定点的区间长度的分布。这种变换被称为大小偏倚、长度偏倚、更新长度变换以及平稳寿命算子。我们回顾并研究这种变换的性质，并将其应用于不同的领域。
We consider the transformation T that takes a distribution F into the distribution of the length of the interval covering a fixed point in the stationary renewal process corresponding to F. This transformation has been referred to as size-biasing, length-biasing, the renewal length transformation, and the stationary lifetime operator. We review and develop properties of this transformation and apply it to diverse areas.