Bayes Interval Estimation on the Parameters of the Weibull Distribution for Complete and Censored Tests

Author(s):  
A. Motaei
2011 ◽  
Vol 2011 ◽  
pp. 1-12
Author(s):  
Eun-Joo Lee ◽  
Dane Walker ◽  
David Elliott ◽  
Katlyn Mathy ◽  
Seung-Hwan Lee

The Weibull distribution is widely used in the parametric analysis of lifetime data. In place of the Weibull distribution, it is often more convenient to work with the equivalent extreme value distribution, which is the logarithm of the Weibull distribution. The main advantage in working with the extreme value distribution is that unlike the Weibull distribution, the extreme value distribution has location and scale parameters. This paper is devoted to a discussion of statistical inferences for the extreme value distribution with censored data. Numerical simulations are performed to examine the finite sample behaviors of the estimators of the parameters. These procedures are then applied to real-world data.


2015 ◽  
Vol 741 ◽  
pp. 763-767
Author(s):  
Hui Liang Li

In this paper, a series of numerical control machine tool truncated failure data collect.The data are assumed to be two parameter weibull distribution and related parameters is obtained and relevant inspection and test of hypothesis, it is concluded that the mathematical model of batch of nc machine tool failure interval time distribution.Relevant indicators to determine the reliability of nc machine tools, machine tool's observations, Machine tool observations, point estimation and interval estimation index value provide a theoretical basis for the research on reliability of machine tool.


2012 ◽  
Vol 588-589 ◽  
pp. 84-89 ◽  
Author(s):  
Hong Wang ◽  
Yue Jin Shang ◽  
Wan Xuan Liu

Whether zhuan 8AG type bogie can achieve the requirement of speed increasing, which have become an important question need to face and research for the railway sectors. The residual life of zhuan 8AG side frame is studied by interior fatigue test that equivalent to the actual running conditions. The interior fatigue test data was processed by Weibull distribution with 3 parameters. The point estimation and the interval estimation of the safe life were given. The fitting result indicate that, the test date conform the Weibull distribution very well. Using generalized P-S-N formula and correctional two dimensional Miner’s rule derivate the residual running mileage prediction formula of zhuan 8AG side frame based on the interior test and the actual line test. The point estimation and interval estimation of residual life are computed under certain reliability and confidence. The estimation results show that, under 95% confidence and 99.9% reliability, the zhuan 8AG side frame has 10.6 years residual life at least. Thus, its’ prospect of applications by increasing speed is optimistic. As a result of some difference about forces on side frame between internal test and actual operation, high incidence area of crack in test is different from in reality. In this fatigue test, breakages are all the C position of side frame. However, the highest probability of crack occurred position in the top surface of pedestal, which total crack numbers accounted for 50% of total crack numbers on side frame in actual running. The paper recommends that the results between internal fatigue and actual operating should be analyzed comparatively, so as to simulate the actual working conditions more realistic.


2020 ◽  
Vol 10 (06) ◽  
pp. 1039-1056
Author(s):  
Raphael Masila Mweleli ◽  
Luke Akong’o Orawo ◽  
Cox Lwaka Tamba ◽  
Justin Obwoge Okenye

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