In probability theory the Maxwell Boltzmann distribution is a chi distribution with three degrees of freedom and scale parameter a = \ sqrt { kT / m }.
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For the cases where the " X " " i " are independent but have different scale parameters see Mathai ( 1982 ) and Moschopoulos ( 1984 ).
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Like other stable distributions ( other than the normal distribution ), since the variance is infinite the dispersion in the distribution is reflected by the scale parameter, c.
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The constant is a scaling parameter : its absolute value " A " } } determines the scale, while its argument introduces a rotation ( if non-zero ).
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Witkin's seminal work in scale space included the notion that a one-dimensional signal could be unambiguously segmented into regions, with one scale parameter controlling the scale of segmentation.
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The Pareto Type I distribution is characterized by a scale parameter " x " m and a shape parameter ?, which is known as the " tail index ".
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The probability plot is then generated to find estimates of the location and scale parameters and in addition to provide a graphical assessment of the adequacy of the distributional fit.
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The scale parameter is \ lambda > 0 which is the scale parameter of the unwrapped distribution and \ kappa > 0 is the asymmetry parameter of the unwrapped distribution.
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The scale parameter is \ lambda > 0 which is the scale parameter of the unwrapped distribution and \ kappa > 0 is the asymmetry parameter of the unwrapped distribution.
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It is relatively easy to construct pivots for location and scale parameters : for the former we form differences so that location cancels, for the latter ratios so that scale cancels.
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