Triangular discrimination, Jensen-Shannon divergence, and the square of the Hellinger distance, are popular distance functions for mixture models, and are known to be similar. Here we expound upon their equivalence in terms of their functional forms after transformations, factorizations, and series expansions, and in terms of the geometry of their contours. The ratio between these distances is ...

Trellis code multiple access (TCMA) is a narrow-band multiple access scheme. There is no bandwidth expansion, so users are using the same bandwidth as one single user. The load (the number of bits per channel use) of the system is therefore much higher than the load in, for example, conventional CDMA systems. It is shown here that the maximum number of users in a TCMA system is usually modest. ...

Background: In case of large burn injuries, split-thickness skin graft (STSG) is limited by donor skin availability. It is not possible to achieve an expansion of more than 1:9 using conventional STSG. Here we introduce Xpansion micrografting technique, which allows a substantially larger expansion ratio enabling adequate coverage of large wounds. Methods: Pre-clinical and clinical studies usin...

Determining statistical power and precision of heritability estimates can be difficult particularly in complex pedigrees. Previous work focused on the power to detect heritability by using the expectation of the likelihood ratio test (ELRT). This work is extended to the more general setting involving arbitrary null hypotheses. We derive two Taylor series expansion which approximate the ELRT in ...

Convergence analysis of iterative detectors for narrow-band multiple access is performed by using extrinsic information transfer charts. The system has no bandwidth expansion, so K users are using the same bandwidth as one single user. The load (the number of bits per channel use) of the system is therefore higher than the load in, for example, conventional CDMA systems. The analysis provide us...

We consider the problem of sending two correlated random sources over a Gaussian multiple-access channel. The sources are assumed to be temporally memoryless. The performance criterion is the MSE and we seek linear transceivers that minimize it. When the bandwidth expansion factor is unity, it is shown that uncoded transmission is the best linear code for any SNR. When the bandwidth expansion f...

We investigate the kinetic theory of partially ionized reactive gas mixtures in strong magnetic fields following [Physica A 327 (2003) 313–348]. A new tensor basis is introduced for expanding the perturbed distribution functions associated with the viscous tensor. New symmetry properties of transport coefficients are established as well as simplified bracket expressions. A variational framework...

CLUSTER EXPANSION WITH APPLICATIONS 3 In order to guess the correct form of a, one should consider the left side of the equation above with a(y) ≡ 0. The integral may depend on x; a typical situation is that x is characterized by a length l(x), which is a positive number, so that the left side is roughly proportional to l(x). This suggests to try a(x) = cl(x), and one can then optimize on the v...

We derive high-temperature series expansions for the free energy and susceptibility of the two-dimensional random-bond Ising model with a symmetric bimodal distribution of two positive coupling strengths J1 and J2 and study the influence of the quenched, random bond-disorder on the critical behavior of the model. By analysing the series expansions over a wide range of coupling ratios J2/J1, cov...

This paper makes the first systematic attempt to determine using perturbation theory the positions of images by gravitational lensing due to arbitrary number of coplanar masses without any symmetry on a plane, as a function of lens and source parameters. We present a method of Taylor-series expansion to solve the lens equation under a small mass-ratio approximation. First, we investigate pertur...