Methods The new method has been validated in digital phantoms with actual echo times and noise levels taken from 5 patients. To achieve numerical stability at low T2* values, a novel hybrid curve fitting method was developed. For low values the residuals were weighted with the signal intensity and for high values standard exponential fitting was used. The transition between high and low regions...

BACKGROUND Despite the common experience that interrupted sleep has a negative impact on waking function, the features of human sleep-wake architecture that best distinguish sleep continuity versus fragmentation remain elusive. In this regard, there is growing interest in characterizing sleep architecture using models of the temporal dynamics of sleep-wake stage transitions. In humans and other...

Fluorescence lifetime microscopy imaging (FLIM) is an optic technique that allows a quantitative characterization of the fluorescent components of a sample. However, for an accurate interpretation of FLIM, an initial processing step is required to deconvolve the instrument response of the system from the measured fluorescence decays. In this paper, we present a novel strategy for the deconvolut...

The matrix completion problem consists in reconstructing a matrix from a sample of entries, possibly observed with noise. A popular class of estimator, known as nuclear norm penalized estimators, are based on minimizing the sum of a data fitting term and a nuclear norm penalization. Here, we investigate the case where the noise distribution belongs to the exponential family and is subexponentia...

Fluorescence correlation spectroscopy (FCS) is an increasingly important tool for determining low concentrations and dynamics of molecules in solution. Oftentimes triplet transitions give rise to fast blinking effects, which are accounted for by including an exponential term in the fitting of the autocorrelation function (ACF). In such cases, concomitant saturation effects also modify the ampli...

The standard monograph in this area is the book Exponential fitting by Ixaru and Vanden Berghe (Kluwer, Boston Dordrecht London, 2004) but a fresh look on things is necessary because many new contributions have been accumulated in themeantime.With no claim that our investigation is exhaustive we consider various directions of interest, try to integrate thenewcontributions in a natural, easy to ...

It is known that the nonextensive statistics was originally formulated for the systems composed of subsystems having same q. In this paper, the existence of composite system with different q subsystems is investigated by fitting the power law degree distribution of air networks with q-exponential distribution. Then a possible extension the nonextensive statistics to different q systems is provi...

co-channel interference is a major factor in limiting the capacity and link quality in cellular communications. as the co-channel interference is modeled by lognormal distribution, sum of the co-channel interferences of neighboring cells is represented by the sum of lognormal random variables (rvs) which has no closed-form expression. assuming independent, identically distributed (iid) rvs, the...

We analyze the time-series data for the onset of A(H1N1)v influenza pandemic in India during the period June 1September 30, 2009. Using a variety of statistical fitting procedures, we obtain a robust estimate of the exponential growth rate 〈λ〉 ≃ 0.15. This corresponds to a basic reproductive number R0 ≃ 1.45 for influenza A(H1N1)v in India, a value which lies towards the lower end of the range ...

Receiver Operating Characteristics (ROC) curve serves as a statistical tool to measure the quality of Biomarker in 5 accessing the accuracy of any diagnostic test. This paper portrays the historical background of ROC curve and reviews various 6 parametric methods adopted for fitting the ROC curve till date. The parametric ROC models that are considered in this paper 7 are Bi-Normal, Bi-Gamma, B...