The loudness of a sound is its perceived intensity. A just-noticeable difference (JND) in intensity has a corresponding JND in loudness. We will interpret loudness and the loudness JND as the first and second moments of a random decision variable, which we call the single-trial loudness . This interpretation, combined with signal detection theory, allows us to relate the loudness of tones and n...

We derive a combinatorial identity which is useful in studying the distribution of Fourier coefficients of L-functions by allowing us to pass from knowledge of moments of the coefficients to the distribution of the coefficients.

the mean and variance of the lagrangian katz family of distribution (lkd), the basiclagrangian katz distribution of type i (lkd-i) and type ii (lkd-ii) are provided in an easy method.the recurrence relation between the non-central, central and factorial moments, and the recurrencerelation between moments and cumulants of lkd, lkd-i and lkd-ii are given. the first fourcumulants of lkd-i and lkd-...

Conventional spin-wave theory of magnetic insulators deals with the investigation transverse excitations moments fixed length. However, when single-ion energetics such as spin-orbit coupling are relevant, symmetries not necessarily present, allowing fluctuations magnitude moment. These termed amplitude modes. Here, authors develop and investigate a for applied to neutron spectroscopy. They focu...

We prove that exponential moments of a fluctuation the pure transport equation decay pointwisely almost as fast $t^{-3}$ when domain is any general strictly convex subset $\mathbb{R}^3$ with smooth boundary diffuse condition. theorem by establishing novel $L^1$-$L^\infty$ framework via stochastic cycles.

The aim of this study was to assess the effect of bracket type on the labiopalatal moments generated by lingual and conventional brackets. Incognito™ lingual brackets (3M Unitek), STb™ lingual brackets (Light Lingual System; ORMCO), In-Ovation L lingual brackets (DENTSPLY GAC), and conventional 0.018 inch slot brackets (Gemini; 3M Unitek) were bonded on identical maxillary acrylic resin models ...

The aim of this article is to give new dispersive tools for certain kinetic equations. As an application, we study the three dimensional Vlasov-Poisson equation for initial data having strictly less than six moments in Lx,ξ where the non linear term E is a priori rough. We prove via new dispersive effect that in fact the force field E is smooth in space at the cost of a localisation in a ball a...

Knowledge about low flow statistics is essential for effective water resource planning and management in ungauged orpoorly gauged catchment areas, especially in arid and semi-arid regions such as Iran. We employed a data set of 20 riverflow time-series from the Iranian Central Plateau River Basin, Iran to evaluate the low-flow series using several frequencyanalysis methods and compared the resu...

We derive a consistency result, in the L 1 -sense, for incomplete U-statistics non-standard case where kernel at hand has infinite second-order moments. Assuming that finite moments of order p ( ≥ ) , we obtain bound on distance between U-statistic and its Dirac weak limit, which allows us to obtain, any fixed an upper rate. Our results hold most classical sampling schemes are used U-statistics.