Bartholomew's problem（巴塞洛谬问题） in life testing is considered under a more general model of Mendenhall and Hader viz., that the parent failure population is made up of two different sub-populations mixed in unknown proportions, each sub-population representing a different cause of failure. Maximum likelihood estimating equations of the parameters and the variance-covariance matrix of the estimates are obtained. Earlier well-known results in life testing are realised as particular cases of the present model.

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