Lower estimation of the remainder term in the CLT for a sum of the functions of k-spacings

Sherzod A. Mirakhmedov

Statistics & Probability Letters, 2005, vol. 73, issue 4, 411-424

Abstract: The main result is lower estimation of the remainder term in the central limit theorem for a sum of the functions of disjoint uniform k-spacings. From this result, the Lindeberg's type condition of asymptotical normality and Berry-Esséen's type bound is derived. Note that here k=k(n) may tend to infinity if sample size n-->[infinity].

Keywords: Central; limit; theorem; Bounds; of; a; remainder; term; Characteristic; function; Lindeberg's; condition; Spacings (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (5)

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