Probable error

In statistics, probable error defines the half-range of an interval about a central point for the distribution, such that half of the values from the distribution will lie within the interval and half outside.[1] Thus it is equivalent to half the interquartile range, or the median absolute deviation. The probable error can also be expressed as a multiple of the standard deviation σ,[1][2] (where the multiplying factor 0.6745 derives from the normal distribution), which requires that at least the second statistical moment of the distribution should exist, whereas the other definition does not. One use of the term probable error in statistics is as the name for the scale parameter of the Cauchy distribution.

See also

References

  1. 1 2 Dodge, Y. (2006) The Oxford Dictionary of Statistical Terms, OUP. ISBN 0-19-920613-9
  2. ↑ Zwillinger, D.; Kokosa, S. (2000) CRC Standard Probability and Statistics Tables and Formulae, Chapman & Hall/CRC. ISBN 1584880597 (Section 2.2.13)
This article is issued from Wikipedia - version of the 11/24/2016. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.