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In this study, a hybrid method based on coupling discrete wavelet transforms (DWTs) and artificial neural network (ANN) for yield spread forecasting is proposed. The discrete wavelet transform (DWT) using five different wavelet families is applied to decompose the five different yield spreads constructed at shorter end, longer end, and policy relevant area of the yield curve to eliminate noise from them. The wavelet coefficients are then used as inputs into Levenberg-Marquardt (LM) ANN models to forecast the predictive power of each of these spreads for output growth. We find that the yield spreads constructed at the shorter end and policy relevant areas of the yield curve have a better predictive power to forecast the output growth, whereas the yield spreads, which are constructed at the longer end of the yield curve do not seem to have predictive information for output growth. These results provide the robustness to the earlier results. [ABSTRACT FROM AUTHOR]

Wave packet systems are generated by the combined action of translations, modulations, and dilations on a finite family of functions. In this paper, we give necessary condition for wave packet system ... to be a frame for L²(ℝ). [ABSTRACT FROM AUTHOR]

In this paper, it is shown that almost everywhere convergence of shrink- age estimators of wavelet packets holds for a range of shrinkage rules, not necessarily thresholding, subject to some mild technical conditions. Comments about the norm convergence are provided as well. [ABSTRACT FROM AUTHOR]

Let α be an endomorphism of an arbitrary ring R with identity. The aim of this article is to introduce the ideal I of R as an α-skew M-McCoy which is a generalization of α-rigid ideals and McCoy ideals and to investigate its properties. α-skew M-McCoy is an α-skew McCoy ideals relative to a monoid M. The findings show that if α t = I R for some positive integer t and I be an α-skew M-McCoy left ideal of R then I [ M , α ] is α-skew M-McCoy left ideal of R [ M , α ]. Also if R be a locally finite ring and I be an α-skew M-McCoy left ideal of R , then I is α-semicommutative left ideal of R. [ABSTRACT FROM AUTHOR]

We consider a class of integral operators from weighted integral transforms to Dirichlet spaces. The boundedness and compactness of these operators from weighted integral transforms to Dirichlet spaces are characterized. We also compute norm of integral operators acting between these spaces. [ABSTRACT FROM AUTHOR]

In the present paper, the notions of normal uni-soft filters in -algebras are introduced, and related properties are investigated. Furthermore, characterizations of a normal uni-soft filter are established, and a new normal uni-soft filter from old one is constructed. Finally, a condition for a uni-soft filter to be normal is given and a condensational property of a normal uni-soft filter is established. [ABSTRACT FROM AUTHOR]