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- Fraser Daly
- 2008

We present sharp bounds on the supremum norm of DjSh for j ≥ 2, where D is the differential operator and S the Stein operator for the standard normal distribution. The same method is used to give analogous bounds for the exponential, Poisson and geometric distributions, with D replaced by the forward difference operator in the discrete case. We also discuss… (More)

- Fraser Daly
- 2010

We apply Stein’s method for probabilistic approximation by a compound geometric distribution, with applications to Markov chain hitting times and sequence patterns. Bounds on our Stein operator are found using a complex analytical approach based on generating functions and Cauchy’s formula.

- Fraser Daly, Raefsky
- 2006

The ascent of a hot spherical body through a fluid with a strongly temperature-dependent viscosity has been studied using an axisymmetric finite element method. Numerical solutions range over Peclet numbers of lo-'-lo3 from constant viscosity up to viscosity variations of 10'. Both rigid and stress-free boundary conditions were applied at the surface of the… (More)

- Fraser Daly
- 2013

In this note we show how the properties of association and negative association can be combined with Stein’s method for compound Poisson approximation. Applications include k–runs in iid Bernoulli trials, an urn model with urns of limited capacity and extremes of random variables.

- M . J . Gri, Alain Abergel, +173 authors E . Zonca
- 2016

The Spectral and Photometric Imaging REceiver (SPIRE), is the Herschel Space Observatory‘s submillimetre camera and spectrometer. It contains a three-band imaging photometer operating at 250, 350 and 500 μm, and an imaging Fourier-transform spectrometer (FTS) which covers simultaneously its whole operating range of 194–671 μm (447–1550 GHz). The SPIRE… (More)

- D. J. Hand, Fraser Daly, +7 authors Trosset
- 2000

Table 2: Relative errors (RE) for two initial conngu-rations using the stress (r = 1) criterion. The numerical results suggest that both X and t 1 ^ X improve on ^ X in practice. In particular, the relative errors of the easily computed optimal dilations of the classical solutions ranged from :2843 to :8317. The relative errors are somewhat larger for the… (More)

- M . J . Gri, Alain Abergel, +175 authors E . Zonca
- 2016

The Spectral and Photometric Imaging REceiver (SPIRE), is the Herschel Space Observatory‘s submillimetre camera and spectrometer. It contains a three-band imaging photometer operating at 250, 350 and 500 μm, and an imaging Fourier-transform spectrometer (FTS) which covers simultaneously its whole operating range of 194–671 μm (447–1550 GHz). The SPIRE… (More)

- Fraser Daly
- J. Applied Probability
- 2016

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