The Weibull distribution has been widely used in reliability fields. A mixed Weibull distribution represents a popu- lation that consists of several Weibull subpopulations. In this paper, a new approach which combines...The Weibull distribution has been widely used in reliability fields. A mixed Weibull distribution represents a popu- lation that consists of several Weibull subpopulations. In this paper, a new approach which combines the least-squares method with Bayes’ theorem, takes advantage of the parameter estimation for single Weibull distribution is developed to estimate the pa- rameters of each subpopulation. The estimates given by this paper also satisfy the maximum likelihood equation. The estimates of the failure rate of the mixed Weibull population are given. An actual test data is computed by using the proposed method. The Kolmogorov-Smirnov goodness-of-fit test turns out that the proposed method yields more accurate result.展开更多
In this paper, we introduce a modification of the Quasi Lindley distribution which has various advantageous properties for the lifetime data. Several fundamental structural properties of the distribution are explored....In this paper, we introduce a modification of the Quasi Lindley distribution which has various advantageous properties for the lifetime data. Several fundamental structural properties of the distribution are explored. Its density function can be left-skewed, symmetrical, and right-skewed shapes with various rages of tail-weights and dispersions. The failure rate function of the new dist</span><span style="font-family:Verdana;">ribution has the flexibility to be increasing, decreasing, constant, an</span><span style="font-family:Verdana;">d bathtub shapes. A simulation study is done to examine the performance of maximum likelihood and moment estimation methods in its unknown parameter estimations based on the asymptotic theory. The potentiality of the new distribution is illustrated by means of applications to the simulated and three real-world data sets.展开更多
为解决装备贮存可靠度评估问题,对寿命分布为平均失效率递增类分布(increasing failure rates on the average,IFRA)的装备的贮存可靠性进行分析。首先,针对装备检测过程中可能出现的无失效数据情况,确定了失效概率的先验分布并给出了Ba...为解决装备贮存可靠度评估问题,对寿命分布为平均失效率递增类分布(increasing failure rates on the average,IFRA)的装备的贮存可靠性进行分析。首先,针对装备检测过程中可能出现的无失效数据情况,确定了失效概率的先验分布并给出了Bayes估计。然后用加权最小二乘法给出了寿命分布的参数估计,进而得到了装备贮存可靠度的估计和表达式。最后结合实例进行计算,说明了方法的稳定性和可行性,为工程上评估装备贮存可靠度提供借鉴。展开更多
文摘The Weibull distribution has been widely used in reliability fields. A mixed Weibull distribution represents a popu- lation that consists of several Weibull subpopulations. In this paper, a new approach which combines the least-squares method with Bayes’ theorem, takes advantage of the parameter estimation for single Weibull distribution is developed to estimate the pa- rameters of each subpopulation. The estimates given by this paper also satisfy the maximum likelihood equation. The estimates of the failure rate of the mixed Weibull population are given. An actual test data is computed by using the proposed method. The Kolmogorov-Smirnov goodness-of-fit test turns out that the proposed method yields more accurate result.
文摘In this paper, we introduce a modification of the Quasi Lindley distribution which has various advantageous properties for the lifetime data. Several fundamental structural properties of the distribution are explored. Its density function can be left-skewed, symmetrical, and right-skewed shapes with various rages of tail-weights and dispersions. The failure rate function of the new dist</span><span style="font-family:Verdana;">ribution has the flexibility to be increasing, decreasing, constant, an</span><span style="font-family:Verdana;">d bathtub shapes. A simulation study is done to examine the performance of maximum likelihood and moment estimation methods in its unknown parameter estimations based on the asymptotic theory. The potentiality of the new distribution is illustrated by means of applications to the simulated and three real-world data sets.
文摘为解决装备贮存可靠度评估问题,对寿命分布为平均失效率递增类分布(increasing failure rates on the average,IFRA)的装备的贮存可靠性进行分析。首先,针对装备检测过程中可能出现的无失效数据情况,确定了失效概率的先验分布并给出了Bayes估计。然后用加权最小二乘法给出了寿命分布的参数估计,进而得到了装备贮存可靠度的估计和表达式。最后结合实例进行计算,说明了方法的稳定性和可行性,为工程上评估装备贮存可靠度提供借鉴。
