STRONG UNIFORM CONSISTENCY OF KERNEL DENSITY ESTIMATORS ON φ-MIXED SAMPLES

STRONG UNIFORM CONSISTENCY OF KERNEL DENSITY ESTIMATORS ON φ-MIXED SAMPLES

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摘要 Suppose {Xn} be a sequence of stationary and φ-mixed random variables （for example, see Ref. [1]）, the common unknown probability density of Xn′s is f（x）. For each n≥1, the kernel estimators of f（x）, based on X1′,X2′…… XN′, are defined as:

作者柴根象

机构地区 Department of Mathematics

出处《Chinese Science Bulletin》 SCIE EI CAS 1987年第22期1513-1518,共6页

关键词 stationary kernel ARGUMENT measurable PROOF MIXED SAMPLES BOREL satisfying INEQUALITY holds

分类号 O1 [理学—基础数学]

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Chinese Science Bulletin

1987年第22期

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STRONG UNIFORM CONSISTENCY OF KERNEL DENSITY ESTIMATORS ON φ-MIXED SAMPLES

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