smooth5vec

This function computes the smoothed Indicator function I[x &lt; const] using
a 5th order polynomial.
If |x - const| &gt; eps then the result is the same as the indicator function I[x &lt; const] (either 0 or 1).
For |x - const| &lt; eps, it is a 5th order polynomial.
\(eps\) is a scalar, must &gt; 0. It is the smoothing window width.

nonparametric

Test hypotheses and construct confidence intervals for AUC (area under Receiver
Operating Characteristic curve) and pAUC (partial area under ROC curve), from the
given two samples of test data with disease/healthy subjects. The method used is
based on TWO SAMPLE empirical likelihood and PROFILE empirical likelihood, as described in
<https://www.ms.uky.edu/~mai/research/eAUC1.pdf>.

Mai Zhou

emplikAUC

Empirical Likelihood Ratio Test/Confidence Interval for AUC or
pAUC

Xue Ding

Yumin Zhao

smooth5vec function

<dl><dt>x</dt>
<dd>a vector of observations, length m, for the first sample.</dd><dt>const</dt>
<dd>a single number.</dd><dt>eps</dt>
<dd>The smoothing window width, must be &gt;0. Ideally, this should be sample size dependent.</dd></dl>

Arguments

Mai Zhou &lt;maizhou@gmail.com&gt;.

Author

Smoothed indicator function I[x &lt; const], which is the integration of the Quartic kernal. — smooth5vec

<dl>

<dt>x</dt>
<dd>a vector of observations, length m, for the first sample.</dd>

<dt>const</dt>
<dd>a single number.</dd>

<dt>eps</dt>
<dd>The smoothing window width, must be &gt;0. Ideally, this should be sample size dependent.</dd>

</dl>

smooth5vec: Smoothed indicator function I[x < const], which is the integration of the Quartic kernal.

Description

Usage

Value

Arguments

Author

Details

References

Examples