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We investigate the reconstruction of embedded time-series from chaotic dynamical systems using wavelets. The standard wavelet transforms are not applicable because of the embedding, and we use a basis pursuit method which on its own does not perform very well. When this is combined with a continuous optimizer, however, we obtain very good models. We discuss… (More)

- Darfiana Nur, David Allingham, Judith Rousseau, Kerrie L. Mengersen, Ross McVinish
- Computational Statistics & Data Analysis
- 2009

The focus of this paper is on the sensitivity to the specification of the prior in a hidden Markov model describing homogeneous segments of DNA sequences. An intron from the chimpanzee α-fetoprotein gene, which plays an important role in embryonic development in mammals is analysed. Three main aims are considered : (i) to assess the sensitivity to prior… (More)

- David Allingham, R. A. R. King, Kerrie L. Mengersen
- Statistics and Computing
- 2009

- R P Morse, D Allingham, N G Stocks
- Journal of theoretical biology
- 2015

To evaluate coding strategies for cochlear implants a model of the human cochlear nerve is required. Nerve models based on voltage-clamp experiments, such as the Frankenhaeuser-Huxley model of myelinated nerve, can have over forty parameters and are not amenable for fitting to physiological data from a different animal or type of nerve. Phenomenological… (More)

- Meksianis Z Ndii, R I Hickson, David Allingham, G N Mercer
- Mathematical biosciences
- 2015

Use of the bacterium Wolbachia is an innovative new strategy designed to break the cycle of dengue transmission. There are two main mechanisms by which Wolbachia could achieve this: by reducing the level of dengue virus in the mosquito and/or by shortening the host mosquito's lifespan. However, although Wolbachia shortens the lifespan, it also gives a… (More)

- R P Morse, D Allingham, N G Stocks
- Journal of theoretical biology
- 2015

Phenomenological neural models, such as the leaky integrate-and-fire model, normally have a fixed refractory time-course that is independent of the stimulus. The recovery of threshold following an action potential is typically based on physiological experiments that use a two-pulse paradigm in which the first pulse is suprathreshold and causes excitation… (More)

- David Allingham, John C. W. Rayner
- ADS
- 2011

We develop a test for equality of variances given two independent random samples of observations. The test can be expected to perform well when both sample sizes are at least moderate and the sample variances are asymptotically equivalent to the maximum likelihood estimators of the population variances. The test is motivated by and is here assessed for the… (More)

- M Z Ndii, D Allingham, R I Hickson, K Glass
- Epidemiology and infection
- 2016

An innovative strategy to reduce dengue transmission uses the bacterium Wolbachia. We analysed the effects of Wolbachia on dengue transmission dynamics in the presence of two serotypes of dengue using a mathematical model, allowing for differences in the epidemiological characteristics of the serotypes. We found that Wolbachia has a greater effect on… (More)

—We investigate analytical cost distributions in the setting of a dynamic stochastic scheduling problem where customers are served from a central location within some given time-frame, for the case where customer locations are uniformly distributed on the boundary of the unit circle. Two distance met-rics are considered and analytical expressions for the… (More)

- Donald John Best, John C. W. Rayner, Olivier Thas, Jan De Neve, David Allingham
- Communications in Statistics - Simulation and…
- 2016