In this paper we focus on the validity of some fundamental estimates for time-degenerate Schr\"{o}dinger-type operators. On one hand derive global homogeneous smoothing operators any order by means suitable comparison principles (that shall obtain here). other hand, prove weighted Strichartz-type Scrh\"{o}dinger and apply them to local well-posedness semilinear Cauchy problem. Most our results ...

In this paper, we propose extraction of signals buried in non-ergodic processes. It is shown that the proposed method extracts signals defined in a non-ergodic framework without averaging or smoothing in the direct time or frequency domain. Extraction is achieved independently of the nature of noise, correlated or not with the signal, colored or white, Gaussian or not, and locations of its spec...

Rural households in many developing economies have incomes that vary seasonally. We explore the implications of this income seasonality for household consumption. We use household-level data from three Indian villages to document seasonal patterns in income and consumption, and to test whether income seasonality produces seasonal consumption variation. Our basic finding is that while there does...

To resolve the conflict between our desire for a good smoothing effect and desire to give additional weight to the recent change, a grey accumulating generation operator that can smooth the random interference of data is introduced into the double exponential smoothing method. The results of practical numerical examples have demonstrated that the proposed grey double exponential smoothing metho...

This paper examines, whether market participants differently assess the information uncertainty associated with earnings management depending on the degree of income smoothing. Hypothesis tests using annual data for 850 firms listed on German stock exchanges for the years 1990 to 2003 show that firm years with low (high) degrees of earnings management display lower (higher) degrees of informati...

In 1994, Lions, Perthame and Tadmor conjectured the maximal smoothing effect for multidimensional scalar conservation laws in Sobolev spaces. For strictly smooth convex flux and the one-dimensional case we detail the proof of this conjecture in the framework of Sobolev fractional spaces W s,1, and in fractional BV spaces: BV s. The BV s smoothing effect is more precise and optimal. It implies t...

In practical scenarios for speaker adaptation of speech synthesis systems, the quality of adaptation audio data may be poor. In these situations, it is necessary to make use of the available audio to capture the speaker attributes, whilst aiming to obtain a synthesis voice which does not have any of the lowquality attributes of the audio. One approach to achieving this is to define a sub-space ...

‎In this article‎, ‎we develop two nonparametric smoothing estimators for parameter of a time-variant parametric model‎. ‎This parameter can be from any parametric family or from any parametric or semi-parametric regression model‎. ‎Estimation is based on a two-step procedure‎, ‎in which we first get the raw estimate of the parameter at a set of disjoint time...