Nonparametric Renewal Function Estimation

作者: Edward W. Frees

DOI: 10.1214/AOS/1176350163

关键词: Renewal theoryLocal asymptotic normalityMathematicsNonparametric statisticsMinimax estimatorMathematical optimizationU-statisticAsymptotic distributionConsistent estimatorEstimator

摘要: Abstract : The renewal function is a basic tool used in many probabilistic models and sequential analysis. Based on random sample of size n, nonparametric estimator the introduced. Asymptotic properties such as almost sure consistency local asymptotic normality are developed. A discussion an application also provided. Keywords: U-statistics, reverse martingales, warranty

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