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・ Weight-shift control
・ Weighted Airman Promotion System
・ Weighted arithmetic mean
・ Weighted average cost of capital
・ Weighted average cost of carbon
・ Weighted average return on assets
・ Weighted capitation formula
・ Weighted clothing
・ Weighted constraint satisfaction problem
・ Weighted context-free grammar
・ Weighted correlation network analysis
・ Weighted fair queueing
・ Weighted geometric mean
・ Weighted Majority Algorithm
・ Weighted matroid
Weighted median
・ Weighted Micro Function Points
・ Weighted network
・ Weighted product model
・ Weighted projective space
・ Weighted random early detection
・ Weighted round robin
・ Weighted silk
・ Weighted space
・ Weighted statistics
・ Weighted sterling
・ Weighted sum model
・ Weighted Voronoi diagram
・ Weighted voting
・ Weighted-average life


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Weighted median : ウィキペディア英語版
Weighted median

In statistics, a weighted median of a sample is the 50% weighted percentile. It was first proposed by F. Y. Edgeworth in 1888. Like the median, it is useful as an estimator of central tendency, robust against outliers. It allows for non-uniform statistical weights related to, e.g., varying precision measurements in the sample.
== Definition ==
For n distinct ordered elements x_1, x_2,...,x_n with positive weights w_1, w_2,...,w_n such that \sum_^n w_i = 1, the weighted median is the element x_k satisfying: \sum_^ w_i < 1/2 and \sum_^ w_i \le 1/2 . If \sum_^ w_i = 1/2 then the weighted median is \frac Where x_ is the next element with non-zero weight. This is a generalization of the standard median which is the weighted median of a set of elements with equal weight.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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