Exact inference for joint Type-I hybrid censoring model with exponential competing risks data |
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Authors: | Song Mao Yi-min Shi Xiao-lin Wang |
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Institution: | 1.Department of Economics and Management,Shanxi University,Taiyuan,China;2.Department of Applied Mathematics,Northwestern Polytechnical University,Xi’an,China;3.78020 Unit,Kunming,China |
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Abstract: | Assuming that the failure time under different risk factors follows the independent exponential distribution, a joint model under Type-I hybrid censoring is addressed in detail. Based on the Maximum likelihood estimates (MLEs) of unknown parameters, we obtain exact distributions of MLEs by using the moment generating function (MGF). Confidence intervals (CIs) of parameters are constructed through both the exact method and the parametric bootstrap method. Then we compare the performances of different methods by Monte Carlo simulations. Finally, the validity of the proposed models and methods are demonstrated by a numerical example. |
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