P ( s, x ) is the cumulative distribution function for Gamma random variables with shape parameter s and scale parameter 1.
32.
Where B is the beta function, \ alpha and \ beta are the shape parameters, and \ lambda is the noncentrality parameter.
33.
For certain values of the shape parameters ? and ?, the probability density function has inflection points, at which the curvature changes sign.
34.
Beta wavelets can be viewed as a soft variety of Haar wavelets whose shape is fine-tuned by two shape parameters ? and ?.
35.
In the field of materials science, the shape parameter " k " of a distribution of strengths is known as the Weibull modulus.
36.
The accompanying plot shows the difference between the mean and the geometric mean for shape parameters ? and ? from zero to 2.
37.
Where \ alpha is the shape parameter, or index of stability, \ mu is the location parameter, and " c " is the scale parameter.
38.
There exist a number of mathematical theories concerning the family of multiquadric radial basis functions and providing some suggestions on the choice of the shape parameter.
39.
The log geometric covariance is negative for all values of the shape parameters, and it reaches large negative values for ? and ? less than unity.
40.
The technique is simply " plot the probability plot correlation coefficients for different values of the shape parameter, and choose whichever value yields the best fit ".