CHARACTERISTIC FUNCTIONS AND THEIR EMPIRICAL COUNTERPARTS - GEOMETRICAL INTERPRETATIONS AND APPLICATIONS TO STATISTICAL-INFERENCE

被引：15
作者：
EPPS, TW
机构：
来源：
AMERICAN STATISTICIAN | 1993年 / 47卷 / 01期
关键词：
EMPIRICAL CHARACTERISTIC FUNCTION; FOURIER TRANSFORM; WRAPPED-AROUND DISTRIBUTION;
D O I：
10.2307/2684780
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
The value of a characteristic function of a random variable X at some real number t is the center of mass of the distribution of tX wrapped around the unit circle in the complex plane. This geometrical representation is used to illustrate how various properties of frequency functions and characteristic functions correspond and to illuminate the role of empirical characteristic functions in statistical inference.
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页码：33 / 38
页数：6
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