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关键词:数理统计学,相关系数,置信区间,正态分布,累积分布函数,Fisher z transformation,初等函数,显式,高斯误差函数,非初等函数
我们发现了两个新的初等显式函数,在逼近标准正态分布累积分布函数时,误差小于著名的 Fisher z 变换。
Fisher z 变换(Fisher z-transform,Fisher z transformation,Fisher's z' transformation,Fisher's Z Transformation)在当前国内外数理统计学教材中普遍使用。Fisher在1915年提出该变换。
其中最简单的函数 Quadratic Radical Function ,已经被我们学校的TTU(Transactions of Tianjin University)录用。这个简单函数对某重要算法的改进,具有明显的积极作用。
另外一个新函数,即 Sigmoid-like 函数,被《Communications in Statistics – Theory and Methods》录用。
尽管 Sigmoid-like 函数比 Quadratic Radical Function 的逼近效果好,但 Sigmoid-like 函数的计算复杂,在对某重要算法的改进,还不如 Quadratic Radical Function。尽管精度增大了,但时间变慢了。这在实时使用中是不利的。
寸有所长、尺有所短。
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28-Jan-2013
Dear ***** YANG:
Ref: New Sigmoid-like Function Better Than Fisher Z Transformation
Our referees have now considered your paper and have recommended publication in Communications in Statistics – Theory and Methods. We are pleased to accept your paper in its current form which will now be forwarded to the publisher for copy editing and typesetting.
You will receive proofs for checking, and instructions for transfer of copyright in due course.
The publisher also requests that proofs are checked and returned within 48 hours of receipt.
Thank you for your contribution to Communications in Statistics – Theory and Methods and we look forward to receiving further submissions from you.
Sincerely,
Prof. N. ************
Editor in Chief, Communications in Statistics – Theory and Methods
comstat@mcmaster.ca
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不知道接下来会怎样?主要是版面费高不高?还有其它什么需要注意的事情?
[3] 《[求教] Quadratic radical function 胜过 Fisher Z Transformation 后的困惑》
http://bbs.sciencenet.cn/blog-107667-588530.html
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