ROUND_HALF_EVEN 在一系列计算中重复应用时，为什么以及如何最小化累积误差? [英] Why and how does ROUND_HALF_EVEN minimize cumulative error when applied repeatedly over a sequence of calculations?

问题描述

有人告诉我 ROUND_HALF_EVEN 是财务数据计算的首选舍入模式.我很想知道这种舍入模式为什么以及如何减少 javadoc BigDecimal 1.4.2 中所述的累积误差.谢谢，院长

I am told that ROUND_HALF_EVEN is the favored rounding mode for financial data calculations. I am curious to know why and how this rounding mode would reduce the cumulative error as stated in javadoc BigDecimal 1.4.2. Thanks, Dean

推荐答案

来自 维基百科:

尽管有四舍五入的习惯数字 4.5 到 5，实际上 4.5 是没有比 4 更接近 5(它是 0.5远离两者).处理的时候大量的科学或统计数据，其中趋势是重要的，传统的四舍五入平均使数据向上偏移轻微地.在大量数据上，或当许多后续四舍五入操作像在数字中一样执行信号处理，舍入到偶数规则趋于减少总数舍入误差，(平均)一个数字的相等部分四舍五入作为四舍五入.这一般减少结果的向上倾斜.

Despite the custom of rounding the number 4.5 up to 5, in fact 4.5 is no nearer to 5 than it is to 4 (it is 0.5 away from both). When dealing with large sets of scientific or statistical data, where trends are important, traditional rounding on average biases the data upwards slightly. Over a large set of data, or when many subsequent rounding operations are performed as in digital signal processing, the round-to-even rule tends to reduce the total rounding error, with (on average) an equal portion of numbers rounding up as rounding down. This generally reduces upwards skewing of the result.

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