A Test for Global Maximum
نویسندگان
چکیده
We give simple necessary and su cient conditions for consistency and asymptotic optimality of a root to the likelihood equation. Based on the results, a large sample test is proposed for detecting whether a given root is consistent and asymptotically e cient, a property that is often possessed by the global maximizer of the likelihood function. A number of examples, and the connection between the proposed test and the test of White (1982) for model misspeci cation are discussed. Monte Carlo studies show that the test performs quite well when the sample size is large but may su er the problem of over-rejection at relatively small samples.
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