1, Cauchy distribution
has the longest flat tails and Gaussian distribution has the shortest flat tails.
ABSTRACT: The motivation of this work is based on the observation that Cauchy distribution provides more accurate estimates of rate and distortion characteristics of video sequences than the previously used distribution such as Laplacian distribution.
Keywords: Cauchy distribution, low delay, rate control, Lagrange multiplier technique, linear regression analysis
In this connection, our work is based on the assumption that AC coefficients follow a Cauchy distribution.
Assume that, the DCT-coefficients of the motion compensated difference frame are Cauchy distribution with Cauchy parameter, m.
is the case with [alpha] = 1, [beta] = 0, [gamma], [member of] (0, + [infinity]), and [member of] (-[infinity], + [infinity]).
Values of this shift are drawn from a Cauchy distribution
with scale parameter [lambda] [equivalent to] [v.
the double exponential distribution and the Cauchy distribution
Jennrich (1995) also then provides numerous normal probability plots for random numbers from the double exponential distribution and the Cauchy distribution
to indicate some typical data features that can be detected by such plots.
In some cases, such as the Laplace or Cauchy distributions
, the mean is difficult or impossible to compute.