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LIKELIHOOD RATIO TESTS FOR RESTRICTED FAMILIES
CALIFORNIA UNIV BERKELEY OPERATIONS RESEARCH CENTER
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Likelihood ratio tests for the problem Ho F epsilon G1 versus H1 F epsilon G- G1 are defined for certain nonparametric families of distributions G and G1. In particular the likelihood ratio test is defined and shown to be unbiased when G1 denotes the exponential distributions possibly truncated and G denotes the distributions with increasing failure rate. Comparisons are made with competing tests. The problem of testing for increasing failure rate average is also examined.
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