Depreciation: A Stochastic Approach
提出在不确定性下对物理折旧建模的两种随机方法，比较了文献中已有的伽马模型和本文新提出的二项式模型，并报告了两种模型下资产使用寿命的等待时间结果。
This paper introduces a rationale for modelling physical depreciation under uncertainty and compares two variants of it. The first variant leads to a model, the ‘gamma’ model which has been discussed in the literature, while the second variant leads to a model, the ‘binomial’ model, which has not been investigated before. The binomial model is shown to approach a deterministic limit (the reducing balance method) as the depreciated asset becomes infinitely divisible. In contrast it has been demonstrated in the literature that the gamma model approaches a particular statistical distribution under these circumstances. The paper goes on to investigate the useful lives of assets under the two models, by reporting results on waiting times, none of which have appeared in the literature before.