a.estimate | R Documentation |

`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.

a.estimate(data, to = 1, min_points, alpha = 0.05, g = 1, r = 1)

`data ` |
the data vector used to estimate |

`to ` |
the value of the maximum domain of the data. Values will usually
either be 1 or 2 |

`min_points ` |
the scalar or vector containing the value(s) of the minimum point(s)
calculated during the kernel density estimation. This argument does not represent
the index value(s) of the observations within data. The minimum point(s) can be obtained with the function |

`alpha ` |
significance level ( |

`g ` |
the value of the incremental growth of each subsequent
interval over which uniformity is tested. In the suggested procedure, uniformity is
sequentially tested, with the interval used in the test growing by |

`r ` |
the number of subsequent intervals that must
result in the rejection of uniformity before the function will stop. The choice of |

a list containing the following components:

`summary ` |
a vector containing the estimated value of |

`general ` |
a list containing the function call, the minimum value(s) used in the
estimation, the level of significance ( |

Willem Daniel Schutte

D'Agostino, R. & Stephens, M. (eds) (1986). Goodness-of-t techniques, Marcel Dekker, Inc.

Jammalamadaka, S. Rao and SenGupta, A. (2001). Topics in Circular Statistics, World Scientific Publishing Co. Pte. Ltd.

Marsaglia G, Marsaglia J (2004). Evaluating the Anderson-Darling Distribution. Journal of Statistical software, 9, 1-5.

Marsaglia G, Tsang WW, Wang J (2003). Evaluating Kolmogorov's Distribution. Journal of Statistical Software, 8(18), 1-4.

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.

Stephens M (1970). Use of the Kolmogorov-Smirnov, Cramer-Von Mises and related statistics without extensive tables. Journal of the Royal Statistical Society. Series B (Methodological), 32, 115-122.

`ad.test`

, `ks.test`

, `rayleigh.test`

## This function is to be used inside the wrapper function SOPIE 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)

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