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Detecting the sinusoidal order is a prerequisite step for parametric multidimensional sinusoidal frequency estimation methods, whose applications range from radar and wireless communications to nuclear magnetic resonance spectroscopy. Although the Bayesian information criterion (BIC) has been commonly applied for model order selection, its application to sinusoidal order estimation is recent. By means...
We propose a least-squares estimator for the intensity of the Poisson process in a partially observed stochastic system, where the signal evolves as a jump-diffusion process and the observation is a diffusion process. Precisely, we establish the consistency and a central limit theorem of the least-squares estimator when a negative drift coefficient for the jump-diffusion process is considered and...
Structure identification is investigated in this paper for a gene regulatory network (GRN) using two different types of steady state expression data. Using knockout expression data, direct regulating genes for an arbitrary gene are estimated by means of maximum likelihood estimation (MLE). And, using multifactorial perturbation data, a weight corresponding to a possible direct regulation is constructed...
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