# von_mises_sim: Generates Simulated Data from a Von Mises Distribution with... In SOPIE: Non-Parametric Estimation of the Off-Pulse Interval of a Pulsar

 von_mises_sim R Documentation

## Generates Simulated Data from a Von Mises Distribution with Noise

### Description

Generates simulated data over the interval [0; 1] from a scaled Von Mises distribution with noise.

### Usage

von_mises_sim(n = 5000, k = 1, c = 0.3, noise = 0.2)


### Arguments

 n  number of random variates in the simulated data set. k  concentration parameter κ of the Von Mises distribution. c  the point of truncation of the Von Mises distribution. The value of c represent that value in the interval [0; c] and [1-c; 1] where the Von Mises density is remove, i.e. f(θ) = 0 for θ \in [0 ; c] and θ \in [1-c ; 1] where f(θ) is the Von Mises density function. noise  proportion of random noise to include in the simulated data set. If n random variates are required, then \lfloor (1-noise)n \rfloor values are generated from the Von Mises density and the remainder from an uniform density.

### Value

The output vector of this function is n random variates in the interval [0; 1] from a scaled Von Mises density with uniform noise proportional to noise.

### Author(s)

Willem Daniel Schutte

### References

Jammalamadaka, S. Rao and SenGupta, A. (2001). Topics in Circular Statistics, World Scientific Publishing Co. Pte. Ltd.
Robert CP, Casella G (2010). Introducing Monte Carlo methods with R. Springer.
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

pvonmises

### Examples

set.seed(777)
simdata<-von_mises_sim(n=5000,k=1,c=0.3,noise=0.2)
hist(simdata)
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.