Description Usage Arguments Details Value References Examples
Bootstrap bandwidth selector for kernel distribution estimation and binned data.
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n |
Positive integer. Size of the complete sample. |
y |
Vector. Observed values. They define the extremes of the sequence of intervals in which data is binned. |
w |
Vector. Proportion of observations within each interval. |
ni |
Vector. Number of observations within each interval. |
g |
Positive real number. Pilot bandwidth. If missing, plug-in N bandwidth for the distribution is considered. |
pilot.type |
1 or 2. If |
nit |
Positive integer. Number of iterations in the dichotomy algorithm for the estimation of the bootstrap bandwidth. |
confband |
Logical. If TRUE, bootstrap confidence bands are constructed for the estimator. Defaults to FALSE. |
B |
Positive integer. Number of bootstrap resamples used for the construction of the confidence bands. Defaults to 1000. |
alpha |
Real number between 0 and 1. Significance level for the confidence bands. Defaults to 0.05 |
print |
Logical. If TRUE, script current status is printed. Defaults to TRUE. |
plot |
Logical. If TRUE, results are plotted. Defaults to FALSE. |
parallel |
Logical. If TRUE, confidence bands are estimated using parallel computing with sockets. |
pars |
Environment. Needed for the well functioning of the script. DO NOT modify this argument. |
If pilot.type
= 1, plug-in bandwidth for the distribution is considered as pilot bandwidth for the bootstrap selector.
If pilot.type
= 2, the pilot bandwidth is such that the kernel distribution estimator with bandwidth g
approximates the empirical distribution of the grouped sample minimizing the residual sum of squares. Also, a penalty is imposed on the global slope of the kernel density estimator with bandwidth g
. The penalty parameter is selected as to best approximate the global slope of the true density.
A list with components:
h |
Bootstrap bandwidth for the distribution function. |
Fh |
Function. Kernel distribution estimator with bandwidth |
confband (optional) |
Matrix. Its columns contain the bootstrap confidence bands for the estimator. |
TesisMiguel2015binnednp
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