Title :
Lower confidence limits of reliability for series system with Poisson components
Author :
Yang, Lisheng ; Zheng, Haiying
Author_Institution :
Sch. of Math. Inf. Sci., Wenzhou Univ., Wenzhou, China
Abstract :
On the condition of the sample data, the paper discusses lower confidence limits of reliability for series with Poisson components. We can make use of the relationship between the cumulative function of the Poisson distribution and the Gamma function, and then give the expressions of reliability in the series system. Based on the sample data, the precise lower confidence limits of reliability for series system is calculated, and then the approximate lower confidence limit of reliability for series system is given. Finally, numerical simulation is carried out to verify the conclusions.
Keywords :
numerical analysis; reliability theory; stochastic processes; Gamma function; Poisson components; cumulative function; lower confidence reliability limits; numerical simulation; series system; Density functional theory; Educational institutions; Information science; Mathematics; Reliability engineering; Reliability theory; Fiducial lower confidence limit; Poisson distribution; reliability; series system;
Conference_Titel :
Multimedia Technology (ICMT), 2011 International Conference on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-61284-771-9
DOI :
10.1109/ICMT.2011.6002678
