Ad Hoc网络的可生存性分析方法主要集中在利用马尔可夫链,分析考虑故障的一跳路由可生存性或者不考虑故障的多跳路由可生存性。经过分析Ad Hoc网络在考虑故障情况下多跳路由的可生存性,提出了可以表示网络中任意两个节点之间动态数据传...Ad Hoc网络的可生存性分析方法主要集中在利用马尔可夫链,分析考虑故障的一跳路由可生存性或者不考虑故障的多跳路由可生存性。经过分析Ad Hoc网络在考虑故障情况下多跳路由的可生存性,提出了可以表示网络中任意两个节点之间动态数据传输关系,及网络受故障影响情况的广义随机Petri网(GSPN)模型。在此基础上,通过计算两个节点连通的概率,利用节点传输范围、节点平均邻居数目和故障频率这些参数,对网络的可生存性进行了分析,其分析结果对选取适当的节点传输范围或节点平均邻居数目有参考价值。展开更多
In reliability theory and survival analysis, the problem of point estimation based on the censored sample has been discussed in many literatures. However, most of them are focused on MLE, BLUE etc; little work has bee...In reliability theory and survival analysis, the problem of point estimation based on the censored sample has been discussed in many literatures. However, most of them are focused on MLE, BLUE etc; little work has been done on the moment-method estimation in censoring case. To make the method of moment estimation systematic and unifiable, in this paper, the moment-method estimators(abbr. MEs) and modified momentmethod estimators(abbr. MMEs) of the parameters based on type Ⅰ and type Ⅱ censored samples are put forward involving mean residual lifetime. The strong consistency and other properties are proved. To be worth mentioning, in the exponential distribution,the proposed moment-method estimators are exactly MLEs. By a simulation study, in the view point of bias and mean square of error, we show that the MEs and MMEs are better than MLEs and the “pseudo complete sample” technique introduced in Whitten et al.(1988). And the superiority of the MEs is especially conspicuous, when the sample is heavily censored.展开更多
基金This research is partially supported by National Science Foundation of China (No. 69971016).
文摘In reliability theory and survival analysis, the problem of point estimation based on the censored sample has been discussed in many literatures. However, most of them are focused on MLE, BLUE etc; little work has been done on the moment-method estimation in censoring case. To make the method of moment estimation systematic and unifiable, in this paper, the moment-method estimators(abbr. MEs) and modified momentmethod estimators(abbr. MMEs) of the parameters based on type Ⅰ and type Ⅱ censored samples are put forward involving mean residual lifetime. The strong consistency and other properties are proved. To be worth mentioning, in the exponential distribution,the proposed moment-method estimators are exactly MLEs. By a simulation study, in the view point of bias and mean square of error, we show that the MEs and MMEs are better than MLEs and the “pseudo complete sample” technique introduced in Whitten et al.(1988). And the superiority of the MEs is especially conspicuous, when the sample is heavily censored.
