Estimation of the Rate of a Doubly Stochastic Time-Space Poisson Process

We consider the problem of estimating the rate of a doubly stochastic,time-space Poisson process when the observations are restrictedto a region DR², and assuming that the rate process has a Gaussianform. In the case D=R², we extend a known result to computethe minimum-mean-square-error (MMSE) estimate explicitly. WhenDR², we consider the use of linear estimates. We give closed-formexpressions for the mean and the covariance of the rate processin terms of the mean and the covariance of an underlying stateprocess. This enables us to write down a well-defined integralequation which determines the linear MMSE estimate of the rate.     

Delay signatures in the chaotic intensity output of a quantum dot laser with optical feedback

Delay identification from the chaotic intensity output of a quantum dot laser with optical feedback is done using numerical and information theoretic techniques. Four quantifiers, namely autocorrelation function, delayed mutual information, permutation entropy and permutation statistical complexity, are employed in delay estimation. A detailed comparison of these quantifiers with different feedback rates and delay is undertaken. Permutation entropy and permutation statistical complexity are calculated with different dimensions of symbolic reconstruction to obtain the best results.     

The near infrared overtone spectrum of propyne taken by diode laser in the 12700 cm−1region

Detailed regions of the near infrared spectrum of propyne between 12737 cm-¹ and 12778cm-¹ have been measured using a simple and inexpensive home-made laser diode spectrometer. This part of the spectrum covers the overlapping 3v₁ + v₃ + v₅ and 3v₁ + v₃ + v₅ + v₁₀—v₁₀ bands. Combining a global fit and an individual profile analysis made possible the determination of the vibrational and rotational constants in each band and in some cases the resolution of the individual K structure in each transition cluster.     

New vibrational assignments in the Ā1 Au-[Xtilde] 1Σ+ g electronic transition of acetylene,C2H2: the v′1 frequency

New laser-induced fluorescence spectra of supersonic jet cooled acetylene (C₂H₂) in the wavelength region 230–205 nm have led to an improved understanding of the vibrational structure of the A ¹A_u state. Among the new bands observed are two weak perturbed bands at 46008 cm^?1 and 46116 cm^?1. Rotational analyses of these bands, together with the corresponding ‘hot’ bands arising from the ground state v4 fundamental, have shown that the upper states have asymmetric top K structure that is unaffected by a axis Coriolis coupling; this means that they do not involve overtones of the low frequency bending vibrations and therefore must be combinations of a_g vibrational normal modes. From their positions in the manifold, their vibrational assignments can only be 2² ₀3¹ ₀; and 1¹ ₀;3¹ ₀. These assignments lead to values of x ₂₂, x₁₃, and a revised value for the symmetric CH stretching frequency, ν₁ = 2880.5cm^?1; this revised value is 160cm^?1 lower than the previously accepted value, but consistent with new ab initio calculations that we performed at the EOM-CCSD level using a TZ2P (triple-zeta plus double polarization) basis set.     

A MODEL TO DETECT GRAZING SENSITIVITY OF MYOPORUM PLATYCARPUM IN THE ARID RANGELANDS OF SOUTH AUSTRALIA

ABSTRACT. Herbivores, particularly introduced ones such as sheep and rabbits, have reduced the levels of regeneration of a number of species of native trees and shrubs in the arid rangelands of southern Australia since European settlement. These reduced levels of regeneration mean that populations of some species are declining while others, less palatable to herbivores, are being maintained, hence gradually altering the composition and/or overall cover of vegetation. In the long term, this could result in loss of palatable species valuable to the pastoral industry for animal production, and/or the dominance of large areas by undesirable “woody weed” species. To investigate the effects of grazing, we develop a model which projects the long‐term survival rate of a focus species, Myoporum platycarpum, under grazing and nongrazing regimes. The technique we are applying is an extension of the Leslie growth model, where the vital rates are linked to random rainfall events and deterministic grazing. The effect of grazing is incorporated into the model based upon data primarily collected from the TGB Osborn Koonamore Vegetation Reserve, 400 km north of Adelaide in South Australia within and without the exclosure. The results suggest that only with higher than average rainfall for extended periods will the species of interest, M. platycarpum, survive under grazing.