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for the distribution, such that half of the values from the distribution will lie within the interval and half outside. Thus for a
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The probable error can also be expressed as a multiple of the standard deviation σ, which requires that at least the second
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of the distribution should exist, whereas the other definition does not. For a
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CRC Standard
Probability and Statistics Tables and Formulae
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92:{\displaystyle \gamma =0.6745\times \sigma }
56:, which does not have a standard deviation.
151:The Oxford Dictionary of Statistical Terms
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48:in this sense is as the name for the
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208:Statistical deviation and dispersion
198:Theory of probability distributions
169:Zwillinger, D.; Kokosa, S. (2000)
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36:it is equivalent to half the
44:. One such use of the term
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173:, Chapman & Hall/CRC.
113:Average absolute deviation
42:median absolute deviation
118:Circular error probable
28:of an interval about a
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34:symmetric distribution
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203:Errors and residuals
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123:Confidence interval
65:normal distribution
54:Cauchy distribution
38:interquartile range
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61:statistical moment
149:Dodge, Y. (2006)
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181:(Section 2.2.13)
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87:σ
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67:this is
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153:, OUP.
101:details
52:of the
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155:ISBN
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78:=
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