1. Spectrally Negative Markov Additive Processes. This paper presents some fluctuation identities for a special, but none the less quite general, class of Markov Additive Processes (MAP). Before entering our discussion on the subject we shall simply begin by defining the class of processes we intend to work with and its properties. Following Asmussen and Kella (2000) we consider a process X(t),...

A Z2Z4-linear Hadamard code of length α + 2β = 2 t is a binary Hadamard code which is the Gray map image of a Z2Z4-additive code with α binary coordinates and β quaternary coordinates. It is known that there are exactly b t−1 2 c and b t 2c nonequivalent Z2Z4-linear Hadamard codes of length 2t, with α = 0 and α 6= 0, respectively, for all t ≥ 3. In this paper, it is shown that each Z2Z4-linear ...

This paper presents a statistical algorithm using Maximum A Posteri­ ori (MAP) estimation for the enhancement of single channel speech， contami­ nated by the additive noise， under the blind framework. The algorithm uses Generalized Gaussian Distribution (GGD) function as a prior probability to model magnitude of the Spectral Components (SC) of the speech and noise in the frequency domain. An es...

Additive deformations of bialgebras in the sense of Wirth are deformations of the multiplication map of the bialgebra fulfilling a compatibility condition with the coalgebra structure and a continuity condition. Two problems concerning additive deformations are considered. With a deformation theory a cohomology theory should be developed. Here a variant of the Hochschild cohomology is used. The...

We address here the issue of jointly estimating angle parameters a single sinusoid with Wiener carrier phase noise and observed in additive, white, Gaussian (AWGN). develop theoretical foundation for time-domain, phase-based, joint maximum likelihood (ML) estimation unknown frequency initial phase, simultaneous posteriori probability (MAP) time-varying noise. The derivation is based on amplitud...

Motivated by the study of hyperkähler structures in moduli problems and hyperkähler implosion, we initiate the study of non-reductive hyperkähler and algebraic symplectic quotients with an eye towards those naturally tied to projective geometry, like cotangent bundles of blow-ups of linear arrangements of projective space. In the absence of a Kempf-Ness theorem for non-reductive quotients, we f...

Dealing with additive noise in the i-vector space can be challenging due to the complexity of its effect in that space. Several compensation techniques have been proposed in the last years to either remove the noise effect by setting a noise model in the i-vector space or build better scoring techniques that take environment perturbations into account. We recently presented a new efficient Baye...

It was recently shown that monotone gene action, i.e., order-preservation between allele content and corresponding genotypic values in the mapping from genotypes to phenotypes, is a prerequisite for achieving a predictable parent-offspring relationship across the whole allele frequency spectrum. Here we test the consequential prediction that the design principles underlying gene regulatory netw...

It is of significance to discover genes related to fiber quality and yield traits and tightly linked markers for marker-assisted selection (MAS) in cotton breeding. In this study, 188 F8 recombinant inbred lines (RILs), derived from a intraspecific cross between HS46 and MARCABUCAG8US-1-88 were genotyped by the cotton 63K single nucleotide polymorphism (SNP) assay. Field trials were conducted i...

We consider optimal control problems for discrete-time random dynamical systems, finding unique perturbations that provoke maximal responses of statistical properties the system. treat systems whose transfer operator has an $L^2$ kernel, and we (i) infinitesimal perturbation maximising expectation a given observable (ii) spectral gap, hence exponential mixing rate Our are either (a) kernel or (...