The discrete-time fractional Gaussian noise (DFGN) has been proven to be a regular process. Therefore, an autoregressive (AR) model of an infinite order can describe DFGN based on Wold and Kolmogorov theorems. A fast estimation algorithm on the Hurst exponent of DFGN or discrete-time fractional Brownian motion (DFBM) has been proposed, but the algorithm did not consider the order selection of A...

In this paper, we address non-Euclidean geometrical aspects of the Schur and Levinson–Szegö algorithms. We first show that the Lobachevski geometry is, by construction, one natural geometrical environment of these algorithms, since they necessarily make use of automorphisms of the unit disk. We next consider the algorithms in the particular context of their application to linear prediction. The...

The paper is a presentation of recent investigations on potential scattering in R. We advocate a new formula for the wave operators and deduce the various outcomes that follow from this formula. A topological version of Levinson’s theorem is proposed by interpreting it as an index theorem.

Several systems that promise a logical view of state in programming have been proposed in the literature. We investigate the syntax and semantics of one of these systems called LLMS, developed by Uday Reddy. We show that the existent categorical deenition of a model of LLMS is too conservative and introduce a neat way of revising the deenition. We give a concrete construction in a Dialectica ca...

We give a recursive algorithm for the computation of the first and second order derivatives of the entropy of a periodic autoregressive process with respect to the autocovariances. It is an extentions of the periodic Levinson-Durbin algorithm. The algorithm has been developed for use at one of the steps of an entropy maximisation method developed by the authors. We give numerical examples of en...

This paper entitled “Positive Politeness Strategy in the Conversation of Me Before You Movie”. The aims was to identify positive politeness strategy and explain factor influencing characters used strategies based on theory Brown Levinson (1987). data taken from utterance between movie. collected through documentation method by taking-note technique, this article qualitative analyze data, presen...

Ozone has been successfully used in medical field since many years owing to its oxidizing property making it an excellent antimicrobial agent. Moreover its potent anti-inflammatory property along with favorable cellular and humoral immune response made ozone an effective therapeutic agent. Also its ability to arrest and reverse carious lesions in a predictable way opened up a new chapter in min...

This paper describes the structure and operation of the Hearsay speech understanding system by the use of a specific example illustrating the various stages of recognition. The system consists of a set of cooperating independent processes, each representing a source of Knowledge. The knowledge is used either to predict what may appear in a given context or to verify hypotheses resulting from a ...

A separated sequence Λ on the real line is called a Polya sequence if any entire function of zero exponential type bounded on Λ is constant. In this paper we solve the problem by Polya and Levinson that asks for a description of Polya sets. We also show that the Polya-Levinson problem is equivalent to a version of the so-called Beurling gap problem on Fourier transforms of measures. The solutio...