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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 ...
On multiple classes of gamma-ray bursts, as deduced from autocorrelation functions or bivariate duration/hardness ratio distributions
(Oxford University Press, 2012)
Autocorrelation functions (ACFs) of 119 gamma-ray bursts (GRBs) monitored by the Burst
Alert Telescope (BAT) on Swift are calculated. Contrasting with previous results for smaller
numbers of bursts from other missions, ...
Estimation of the coherence time of stochastic oscillations from modest samples
(Oxford University Press, 2012)
‘Quasi-periodic’ or ‘solar-like’ oscillations can be described by three parameters – a characteristic
frequency, a coherence time (or ‘quality factor’) and the variance of the random
driving process. This paper is concerned ...
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 ...
Predicting gamma-ray burster redshifts from their prompt emission properties
(Oxford University Press, 2010)
This paper presents a study of the relation between gamma-ray burster redshift and several
of its prompt emission properties (spectral lag, light curve variability, peak energy, rise time
and the peak bolometric flux ...
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 ...
Time series models of three sets of RXTE Observations of 4U 1543-47
(Oxford University Press, 2013)
The X-ray nova 4U 1543−47 was in a different physical state (low/hard, high/soft, and very high) during the
acquisition of each of the three time series analyzed in this paper. Standard time series models of the ...