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MING Zhimao
College of Mechatronics
Engineering
and Automation,
National University of Defense Technology,
Changsha 410073, China
TAO Junyong
Reliability Testing Laboratory,
National University of Defense Technology,
Changsha 410073, China
Department of Mechanical Engineering, University of Maryland,
MD 20742, USA
CHEN Xun
ZHANG Yun’an
College of Mechatronics
Engineering
and Automation,
National University of Defense Technology,
Changsha 410073, China
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BAYESIAN DEMONSTRATION TEST
METHOD WITH MIXED BETA DISTRIBUTION*
Abstract: A complex mechatronics
system Bayesian plan of demonstration test is studied based on
the mixed beta distribution. During product design and
improvement various information is appropriately considered by
introducing inheritance factor, moreover, the inheritance factor
is thought as a random variable, and the Bayesian decision of
the qualification test plan is obtained, and the correctness of
a Bayesian model presented is verified. The results show that
the quantity of the test is too conservative according to
classical methods under small binomial samples. Although
traditional Bayesian analysis can consider test information of
related or similar products, it ignores differences between such
products. The method has solved the above problem, furthermore,
considering the requirement in many practical projects, the
differences among this method, the classical method and Bayesian
with beta distribution are compared according to the plan of
reliability acceptance test.
Key words:
Reliability qualification test Inheritance
factor Bayesian analysis Binomial distribution Maximum posterior
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Biographical notes
MING Zhimao, born in 1977, is currently a PhD candidate in College of
Mechatronics Engineering and Automation, National University of Defense
Technology, China. His research interests include methods and
applications of reliability test and assessment for complex system with
small sample, etc.
Tel: +86-731-4573395; E-mail: mzmnudt2008@126.com
TAO Junyong is currently a visiting scholar in Department of Mechanical
Engineering, University of Maryland, USA. He is also an associate
professor in Reliability Testing Laboratory, National University of
Defense Technology, China. He received his PhD degree from College of
Mechatronics Engineering and Automation, National University of Defense
Technology, China, in 2000. His research interests include reliability
testing technology, reliability analysis technology, reliability and
risk assessment and dynamic systems reliability.
Tel: +86-731-4573396; E-mail: taojunyong@gmail.com
CHEN Xun is currently a professor in College of Mechatronics Engineering
and Automation, National University of Defense Technology, China. He
received his PhD degree from College of Mechatronics Engineering and
Automation, National University of Defense Technology, China, in 1998.
He published more than 50 papers covering his research interests as
reliability test theory and technology, machinery condition monitoring
and fault diagnosis, etc.
Tel: +86-731-4573305; E-mail: chenxun@nudt.edu.cn
ZHANG Yun’an is currently a master candidate in College of Mechatronics
Engineering and Automation, National University of Defense Technology,
China. His research interests include methods and applications of
reliability test and assessment for complex system with small sample,
etc.
Tel: +86-731-4573395; E-mail: armyun@163.com
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