In applications of differential geometry to problems of parametric inference, the notion of divergence is often used to measure the separation between two parametric densities. Among them, in this paper, we will verify measures such as Kullback-Leibler information, J-divergence, Hellinger distance, -Divergence, … and so on. Properties and results related to distance between probability d...

This paper is devoted to "Some Discrete Distributions Generated by Standard Stable Densities" (in short, Discrete Stable Densities). The large-sample properties of M-estimators as obtained by the "Generalized Method of Moments" (GMM) are discussed for such distributions. Some corollaries are proposed. Moreover, using the respective results we demonstrate the large-sample pro...

We discuss compositionality in terms of (a) component interoperability and contractual use of components, (b) component adaptation and (c) prediction of properties of composite components. In particular, we present parametric component contracts as a framework treating the above mentioned facets of compositionality in a unified way. Parametric contracts compute component interfaces in dependenc...

We perform noise spectroscopy of a Josephson parametric oscillator (JPO) by implementing microwave homodyne interferometric measurement scheme. observe the fluctuations in self-oscillating output field JPO for long 10-s time interval single-shot and characterize phase amplitude noise. Furthermore, we investigate effects pump strength on power spectra JPO. find strong with $1/{f}^{2}$ characteri...

A system of multivariate semiparametric nonlinear time series models is studied with possible dependence structures and nonstationarities in the parametric and nonparametric components. The parametric regressors may be endogenous while the nonparametric regressors are assumed to be strictly exogenous. The parametric regressors may be stationary or nonstationary and the nonparametric regressors ...

A system of vector semiparametric nonlinear time series models is studied with possible dependence structures and nonstationarities in the parametric and nonparametric components. The parametric regressors may be endogenous while the nonparametric regressors are strictly exogenous. The parametric regressors may be stationary or nonstationary and the nonparametric regressors are nonstationary ti...

In this paper, interpolation of linear predictive coding (LPC) parameters in terms of the following representations is investigated: linear prediction coefficient representation, reflection coefficient representation, log-arearatio representation, arc-sine reflection coefficient representation, cepstral coefficient representation, line spectral frequency representation, autocorrelation coeffici...

We propose an approach to falsification of oscillation properties of parametric biological models, based on the recently developed techniques for testing continuous and hybrid systems. In this approach, an oscillation property can be specified using a hybrid automaton, which is then used to guide the exploration in the state and input spaces to search for the behaviors that do not satisfy the p...