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Multiple regression of GRB luminosity on light-curve properties
(Oxford University Press, 2009)
Statistical relations between the luminosity L of gamma-ray burster (GRBs) and several of
their other observable properties have been discovered. Four of these properties are considered
here: the spectral lag; a measure ...
Fitting power-law distributions to data with measurement errors
(Oxford University Press, 2009)
If X, which follows a power-law distribution, is observed subject to Gaussian measurement
error e, thenX+e is distributed as the convolution of the power-lawand Gaussian distributions.
Maximum-likelihood estimation of ...
Fitting sinusoids to observations of rotating spotted stars
(Oxford University Press, 2007)
It is assumed that K blocks (e.g. seasons) of observations are available, and the parameters
characterizing a fixed-frequency sinusoidal variability (mean light level, amplitude, phase)
are constant within each of the ...
Statistical tests for changes in the amplitude, frequency or phase of a sinusoidal variation
(Oxford University Press, 2009)
The problem considered is that of testing for small changes over time in the properties of
a sinusoidal signal contaminated by noise. Two test statistics are proposed. The first is a
frequency domain statistic based on ...
Multivariate comparisons of the period–light-curve shape distributions of Cepheids in five galaxies
(Oxford University Press, 2007)
A number of published tests suitable for the comparison of multivariate distributions are
described. The results of a small power study, based on realistic Cepheid log period – Fourier
coefficient data, are presented. ...
The Nyquist frequency for irregularly spaced time-series: a calculation formula
(Oxford University Press, 2006)
Eyer & Bartholdi showed that the Nyquist frequency of irregularly sampled time-series can
be very high. In this paper, a calculation formula for the Nyquist frequency is presented. In
practice there is an upper limit of ...
What can be deduced from open cluster metallicity measurements?
(Oxford University Press, 2007)
The dependence of [Fe/H] on galactocentric distance, distance from the galactic mid-plane
and age is studied. Both ordinary least-squares and non-parametric regression in the form of a
‘generalized additive model’ are ...
Confidence intervals for the correlation between the gamma-ray burst peak energy and the associated supernova peak brightness
(Oxford University Press, 2009)
A strong correlation between the gamma-ray burster peak energy and the peak luminosity
of the associated supernova was discovered by Li for four GRBs. Despite the fact that the
formal significance level of the correlation ...
The detailed forms of the LMC Cepheid PL and PLC relations
(Oxford University Press, 2007)
Possible deviations from linearity of the Large Magellanic Cloud Cepheid period–luminosity
(PL) and period–luminosity–colour (PLC) relations are investigated. Two data sets are studied,
respectively from the Optical ...
The Nyquist frequency for time series with slight deviations from regular spacing
(Oxford University Press, 2009)
The paper is based on the notion that the Nyquist frequency νN is a symmetry point of the
periodogram of a time series: the power spectrum at frequencies above νN is a mirror image
of that below νN. Koen showed that the ...