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Some Properties of Fractional Boas Transforms of Wavelets
Journal of Mathematics, 2021 In this paper, we introduce fractional Boas transforms and discuss some of their properties. We also introduce the notion of wavelets associated with fractional Boas transforms and give some results related to their vanishing moments.
Nikhil Khanna +3 more
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Generalized energy inequalities and higher multifractal moments [PDF]
, 2014 We present a class of generalized energy inequalities and indicate their use in investigating higher multifractal moments, in particular Lq-dimensions of images of measures under Brownian processes, Lq-dimensions of almost self-affine measures, and moments
Falconer, Kenneth John, Kenneth Falconer
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A signal enhancement method based on the reverberation statistical information
EURASIP Journal on Advances in Signal Processing, 2022 This paper proposes a reverberation suppression algorithm utilizing fractional lower-order moments based on statistical properties. As fractional lower-order moments can only be applied on symmetric α-stable random variables, the energy redistribution ...
Ge Yu, Jiangjiang Sun, Xiukun Li
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Fractional Moments of Solutions to Stochastic Recurrence Equations [PDF]
Journal of Applied Probability, 2013 In this paper we study the fractional moments of the stationary solution to the stochastic recurrence equationXt=AtXt−1+Bt,t∈Z, where ((At,Bt))t∈Zis an independent and identically distributed bivariate sequence. We derive recursive formulae for the fractional moments E|X0|p,p∈R.
Thomas Mikosch +2 more
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Fractional Moments on Bandit Problems
CoRR, 2012 Reinforcement learning addresses the dilemma between exploration to find profitable actions and exploitation to act according to the best observations already made. Bandit problems are one such class of problems in stateless environments that represent this explore/exploit situation.
Ananda Narayanan B., Balaraman Ravindran
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Demonstratio Mathematica, 2023 Local fractional integral inequalities of Hermite-Hadamard type involving local fractional integral operators with Mittag-Leffler kernel have been previously studied for generalized convexities and preinvexities.
Vivas-Cortez Miguel +3 more
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The Periodogram of fractional processes [PDF]
, 2007 We analyse asymptotic properties of the discrete Fourier transform and the periodogram of time series obtained through (truncated) linear filtering of stationary processes.
Velasco Gómez, Carlos +2 more
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Caputo Fractional Differential Equations with Non-Instantaneous Random Erlang Distributed Impulses
Fractal and Fractional, 2019 The p-moment exponential stability of non-instantaneous impulsive Caputo fractional differential equations is studied. The impulses occur at random moments and their action continues on finite time intervals with initially given lengths. The time between
Snezhana Hristova, Krasimira Ivanova
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Mathematics, 2020 Fractional differential equations with impulses arise in modeling real world phenomena where the state changes instantaneously at some moments. Often, these instantaneous changes occur at random moments.
Ravi Agarwal +3 more
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Fractional moments of Dirichlet L-functions [PDF]
Acta Arithmetica, 2010 Let $k$ be a positive real number, and let $M_k(q)$ be the sum of $|L(\tfrac12,χ)|^{2k}$ over all non-principal characters to a given modulus $q$. We prove that $M_k(q)\ll_k ϕ(q)(\log q)^{k^2}$ whenever $k$ is the reciprocal $n^{-1}$ of a positive integer $n$.
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