We study the non-parametric estimation of an unknown survival function S with support on R+ based a sample multiplicative measurement errors. The proposed fully-data driven procedure is Mellin transform and regularisation inverse by spectral cut-off. upcoming bias-variance trade-off dealt data-driven choice cut-off parameter. In order to discuss bias term, we consider Mellin-Sobolev spaces whic...

This paper presents a new hierarchical phoneme recognition system using the SVM classifier and different feature representations based on mellin transform. The proposed architecture uses different representations with each group of phonemes of the speech database TIMIT which are distributed in a way to reduce the confusions between phonemes having similar articulatory strcuture. The main idea o...

Fourier Mellin Transform (FMT) has been used effectively in previous work for 2D image analysis, reconstruction and retrieval. In this paper, we perform 3D shape retrieval based on FMT on the Purdue Shape Benchmark. The whole procedure includes three steps: 1) generate silhouettes along the six principle directions for each 3D model; 2) compute a collection of FMT coefficients for all the silho...

The asymptotic distribution of the diameter of the digraph of a uniformly distributed random mapping of an n-element set to itself is represented as the distribution of a functional of a re ecting Brownian bridge. This yields a formula for the Mellin transform of the asymptotic distribution, generalizing the evaluation of its mean by Flajolet and Odlyzko (1990). Titre: La loi limite du diam etr...

We investigate the scale-shift operator for discrete-time signals via action of hyperbolic Blaschke group. Practical implementation issues are discussed and given any arbitrary scale, in framework very classical linear filtering. Our group theoretical standpoint leads to a purely harmonic analysis definition Mellin transform signals. Explicit analytical expressions atoms Fourier-Mellin decompos...

The analytical Fourier-Mellin transform is used in order to assess motion parameters between gray-level objects having the same shape with distinct scale and orientation. From results on commutative harmonic analysis, a functional is constructed in which the location of the minimum gives an estimation of the size and orientation parameters. Furthermore, when the set of geometrical transformatio...

Abstract: We propose a stochastic model to develop a partial integro-differential equation (PIDE) for pricing and pricing expression for fixed type single Barrier options based on the Itô-Lévy calculus with the help of Mellin transform. The stock price is driven by a class of infinite activity Lévy processes leading to the market inherently incomplete, and dynamic hedging is no longer risk free...

Reconstruction methods for optical tomographic imaging require the development of models of light transport in highly scattering materials. While the simulation of the full temporal response function arising from a short source light pulse is computationally expensive, there are methods to evaluate efficiently certain transforms of the temporal profile. We previously presented methods to obtain...