
Summary: We investigate a uniform local asymptotic normality for likelihood ratio processes based on an independent and identically distributed local asymptotic problem. Our tool is empirical process theory.
local asymptotic problem, Functional limit theorems; invariance principles, Asymptotic properties of nonparametric inference, Order statistics; empirical distribution functions, likelihood ratio processes, Central limit and other weak theorems, uniform LAN, strong LAN, Nonparametric hypothesis testing
local asymptotic problem, Functional limit theorems; invariance principles, Asymptotic properties of nonparametric inference, Order statistics; empirical distribution functions, likelihood ratio processes, Central limit and other weak theorems, uniform LAN, strong LAN, Nonparametric hypothesis testing
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