Gaussian Model
SSgauss.Rd
This selfStart
model evalueates the Gaussian model and its
gradient. It has an initial
attribute that will evalueate
the inital estimates of the parameters mu
, sigma
,
and h
.
Arguments
- x
a numeric vector of values at which to evaluate the model
- mu
mean of the distribution function
- sigma
standard deviation of the distribution fuction
- h
height of the distribution function
Details
Initial values for mu
and h
are chosen from the
maximal value of x
. The initial value for sigma
is
determined from the area under x
divided by h*sqrt(2*pi)
.
Value
A numeric vector of the same length as x
. It is the value
of the expression h*exp(-(x-mu)^2/(2*sigma^2)
, which is a
modified gaussian function where the maximum height is treated
as a separate parameter not dependent on sigma
. If arguments
mu
, sigma
, and h
are names of objects, the
gradient matrix with respect to these names is attached as an
attribute named gradient
.
Author
Colin A. Smith, csmith@scripps.edu