# SOPIE-package: Package 'SOPIE' : Summary Information In SOPIE: Non-Parametric Estimation of the Off-Pulse Interval of a Pulsar

 SOPIE-package R Documentation

## Package 'SOPIE' : Summary Information

### Description

The package 'SOPIE' provides functions to non-parametrically estimate the off-pulse interval of a source function originating from a pulsar. This technique is based on a sequential application of P-values obtained from goodness-of-fit tests for the uniform distribution. The well-known Kolmogorov-Smirnov, Cramer-von Mises, Anderson-Darling and Rayleigh test statistics are applied sequentially on subintervals of [0 ; 1].
The most important functions in the package are combined in a wrapper function called SOPIE. Users should start by looking at the documentation of the function findh, circ.kernel and SOPIE.

### Details

 Package: SOPIE Type: Package Version: 1.6 Date: 2022-02-23 License: GPL-3 LazyLoad: yes

The SOPIE package consists of 4 main functions. Each of these functions are discussed in terms of its functioning, structure, arguments and output in the help documentation of each function.

1. findh is the function used to obtain the estimated smoothing parameter \hat h that will be used in the circular kernel density estimator.

2. circ.kernel is the function used to perform circular kernel density estimation on the sample data set in order to obtain the minimum points of the kernel density estimator. This is essentially the first step of the suggested procedure, as described in the second reference listed below. The output can also be used to draw a graph of the circular kernel density estimator.

3. a.estimate and b.estimate is almost identical function. a.estimate is the function used to obtain the estimated values of a, i.e. \hat a, for the off-pulse interval of a pulsar light curve. b.estimate is the function used to obtain the estimated values of b, i.e. \hat b, for the off-pulse interval of a pulsar light curve.

4. SOPIE is a wrapper-function in the sense that it utilises all of the above function to produce the estimated off-pulse intervals in an easy readable matrix format, together with a graph consisting of the histogram estimate of the sample data, the kernel density estimator and an indication of the estimated median off-pulse interval.

### Author(s)

Willem Daniel Schutte
Maintainer: Willem Daniel Schutte

### References

Jammalamadaka, S. Rao and SenGupta, A. (2001). Topics in Circular Statistics, World Scientific Publishing Co. Pte. Ltd.
Schutte WD (2014). Nonparametric estimation of the off-pulse interval(s) of a pulsar light curve. Ph.D. thesis, North-West University. URL http://hdl.handle.net/10394/12199
Schutte WD, Swanepoel JWH (2016). SOPIE: an R package for the non-parametric estimation of the off-pulse interval of a pulsar light curve. Monthly Notices of the Royal Astronomical Society, 461, 627-640.

### Examples

set.seed(777)
simdata<-von_mises_sim(n=5000,k=1,c=0.3,noise=0.2)
SOPIE(simdata,h=1,to=1,alpha=0.05,g=5,r=10,m=1,grid=100)



SOPIE documentation built on March 18, 2022, 5:25 p.m.