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In order to further reduce time and resource consuming and describe hazard curve of parts in bathtub shape, the
likelihood function of Modified Weibull distribution based on hybrid censoring test is derived. Meanwhile, for improving
reliability analysis accuracy under small sample size, Bayesian method using Gamma distribution and Uniform distribution
as the prior distribution is applied to analyze reliability with hybrid Markov chain Monte Carlo algorithm. And then,
taking a valve in the barking system of railway vehicle as an example, the scheme of hybrid censoring test is made. Computing
result shows that the method can improve the problem of reliability analysis under small sample size.