Description Usage Arguments Details Value Author(s) References See Also Examples
This code produces one-dimensional density estimates satisfying "soft" conditions like unimodality. A number of possible soft conditions are permitted. This version calls the nloptr suite of optimizers. Convergence is not particularly fast.
1 2 |
data |
Numeric vector of data for density estimate. |
lower |
Lower bound for density support. If missing, use default as set in
|
upper |
Upper bound for density support. If missing, use default as set in
|
N |
Integer: number of segments. Default 10. |
M |
Integer: number of points within each segment to consider. Default 5. |
order |
Integer: order of polynomials used in spline fits. Currently this must be 2. |
softinfo |
List of "soft" conditions to be imposed on the density estimate. See
|
opt.args |
List of arguments to be passed to global optimizer. See
|
opt.local.args |
List of arguments to be passed to local optimizer. See
|
postproc.controls |
List of arguments for post-processing. See
|
This function produces a density estimator for data data
, imposing
constraints in softinfo
. The density is in the form of an
exponential epi-spline. An epi-spline is like a spline estimator in that
in consists of polynomials between knots. However, the polynomials are not
automatically constrained to meet at knots. The density estimate is an
exponential epi-spline, which is exp(- s)
where s
is the
epi-spline value.
A list of class c("episplineDensity", "nloptr")
with the output
from nloptr, plus additional items:
softinfo |
The softinfo as passed to the optimizer, consisting of what was passed into this function plus some defaults |
epiparameters |
Epiparameters, as generated by
|
caseinfo |
A list with the sample size, as |
x |
Copy of the data |
c.out |
Coefficients associated with this set of data. |
opts |
Copy of opts. See |
orig.integral |
If the postprocessing option |
integral |
If the postprocessing option |
Sam Buttrey, after Matlab code from Royset and Wets.
Royset and Wets, Nonparametric Density Estimation with Soft Information Using Exponential Epi-Splines, in press.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 | ##---- Should be DIRECTLY executable !! ----
##-- ==> Define data, use random,
##-- or do help(data=index) for the standard data sets.
n10 <- c(-0.795173769, -0.268865287, -0.032803042, -0.361751212,
0.699170399, -0.909275685, 0.452956532, 1.501356616, 1.669061521,
-0.524919503)
#
# Generate a unimodal estimate. Plot automatically.
#
## Not run: soft <- setup.softinfo (10, unimodal = TRUE)
## Not run: expepi (n10, softinfo = soft)
#
# Generate a unimodal estimate, but constrain the second non-central
# moment to be <= 0.4. Plot automatically. This command will require
# a couple of minutes to run.
#
## Not run: soft$upperbound2moment <- 0.4
## Not run: expepi (n10, softinfo = soft)
#
# Generate a nondecreasing estimate without plotting.
#
## Not run: soft <- setup.softinfo (10, monotone="nondecreasing")
## Not run: n10.out <- expepi (n10, softinfo = soft, postproc.controls =
postproc.control (pic.types = NULL))
## End(Not run)
#
# Now plot.
#
## Not run: plot (n10.out)
|
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