Abstract: In this article asymptotic expressions for the final prediction error (FPE) and the accumulated prediction error (APE) of the least squares predictor are obtained in regression models with nonstationary regressors. It is shown that the term of order 1/n in FPE and the term of order log n in APE share the same constant, where n is the sample size. Since the model includes the random wa...

Format-Preserving Encryption (FPE) for Internet of Things (IoT) enables the data encryption while preserving format and length original data. With these advantages, FPE can be utilized in many IoT applications. However, requires complicated computations are high overheads on embedded devices. In this paper, we proposed an efficient implementation Format-preserving Algorithm (FEA), which is Kore...

Fixed Pigmented Erythema (FPE) is a drug reaction. Pityriasis rosea of Gibert (PRG) is a cutaneous virus due to the reactivation of (HHV7/HHV6). We report here a case of FPE, the second episode simulating an initial double medallion PRG in a young adult. Our case confirmed the assertion that toxidermia is a major simulator of the other dermatoses behind the syphilis.

We generalize the Feynman-Kac formula to analyze the local and occupation times of a Brownian particle moving in a stochastically gated one-dimensional domain. (i) The gated local time is defined as the amount of time spent by the particle in the neighborhood of a point in space where there is some target that only receives resources from (or detects) the particle when the gate is open; the tar...

BACKGROUND Bloodstream pathogens can be identified by multiplex PCR (SeptiFast (SF)) or blood culture (BC); whether these pathogens are present in cystic fibrosis (CF) patients during febrile pulmonary exacerbations (FPE) has not been sufficiently studied. METHODS In this prospective observational study, blood from CF patients experiencing FPE was tested with SF and BC before the initiation o...

BACKGROUND Activin and inhibin are glycoproteins structurally related to the transforming growth factor-beta superfamily. These peptides were first described as factors that regulate the follicle-stimulating hormone (FSH) at the pituitary level. The possible role of inhibin and activin, at the ovarian level, in mediating the stimulatory actions of a Fundulus pituitary extract (FPE) and 17alpha,...

In this paper, the stationary Fokker-Planck equation (FPE) is solved for nonlinear dynamical systems using a local numerical technique based on the meshless partition of unity finite element method (PUFEM). The method is applied to stationary FPE for two, three and four-dimensional systems and is argued to be an excellent candidate for higher dimensional problems and the transient problem. Loca...

NeuroscieNce Data aND ForeNsic Psychiatric examiNatioN: oPPortuNities, threats, aND LimitatioNs oF the curreNt Debate Almost all of the world’s legal systems assume that criminal responsibility cannot be established if the defendant was not capable to appreciate the wrongfulness of his/her actions (1). Furthermore, most Western Penal Codes assume that the defendant cannot be convicted if he/she...

An analogy of the Fokker-Planck equation (FPE) with the Schrödinger equation allows us to use quantum mechanics technique to find the analytical solution of the FPE in a number of cases. However, previous studies have been limited to the Schrödinger potential with a discrete eigenvalue spectrum. Here, we will show how this approach can be also applied to a mixed eigenvalue spectrumwith bounded ...

The stationary Fokker-Planck Equation (FPE) is solved for nonlinear dynamic systems using a local numerical technique based on the meshless Partition of Unity Finite Element Method (PUFEM). The method is applied to the FPE for two-dimensional dynamical systems, and argued to be an excellent candidate for higher dimensional systems and the transient problem. Variations of the conventional PUFEM ...