Large Sample Results for Likelihood-Based Methods

作者: Denni D Boos , L A Stefanski

DOI: 10.1007/978-1-4614-4818-1_6

关键词: Asymptotic distributionConvergence (routing)MathematicsConsistency (statistics)Weak consistencyMaximum likelihoodStrong consistencyLarge sampleApplied mathematicsValue (mathematics)

摘要: Most large sample results for likelihood-based methods are related to asymptotic normality of the maximum likelihood estimator b MLE under standard regularity conditions. In this chapter we discuss these results. If consistency is assumed, then proof straightforward. Thus start with and give theorems chi-squared convergence tests TW,TS, TLR. Recall that Strong means converges probability one true value, weak refers converging in value..

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