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Testing equality of location parameters of two exponential distributions from censored samples
Authors:ML Tiku  DC Vaughan
Institution:1. Department of Mathematics and Statistics , McMaster University , Hamilton, Ontario, L8S 4KI, Canada;2. Department of Mathematics , Wilfrid Laurier University , Wanterloo, Ontario, N2L 3C5, Canada
Abstract:A modification to Tiku's (1981) test, which may be seriously biased, is proposed. The modified test is only marginally biased if at all and is substantially more powerful. A ratio test based on Tiku’s (1967) modified likelihood function is also proposed, and shown to have power comparable to the power of the ratio test based on the likelihood function. The proposed ratio test is, however, much easier from a computational viewpoint.
Keywords:exponential distribution  modified likelihood  order statistics  ratio test  censored samples  life testing
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