Results 91 to 100 of about 68,409 (246)
Riemann hypothesis or Riemann theory
, 2018 the Riemann hypothesis states that any zero of the Riemann zeta function other than the trivial zeros has a real part equals half ”, this paper has only 7 pages, no figures, no charts, and contains a somehow peculiar proof to the Riemann hypothesis, which Sir David Hilbert once said about,” if I were to awaken after having slept for a thousand years ...
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Journal of Sleep Research, EarlyView.ABSTRACT The present study aims at verifying whether the conditional probability of observing a poor night after one, two, or three consecutive poor nights is associated with sleep depth or sleep self‐estimation. Online sleep diaries were collected for 21 consecutive nights from 30 adults with insomnia.
D. Laroche, A. Vallières, C. H. Bastien
wiley +1 more source
Fractional gaussian noise: Spectral density and estimation methods
Journal of Time Series Analysis, EarlyView.The fractional Brownian motion (fBm) process, governed by a fractional parameter H∈(0,1), is a continuous‐time Gaussian process with its increment being the fractional Gaussian noise (fGn). This article first provides a computationally feasible expression for the spectral density of fGn.
Shuping Shi, Jun Yu, Chen Zhang
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A new heteroskedasticity‐robust test for explosive bubbles
Journal of Time Series Analysis, EarlyView.We propose a new class of modified regression‐based tests for detecting asset price bubbles designed to be robust to the presence of general forms of both conditional and unconditional heteroskedasticity in the price series. This modification, based on the approach developed in Beare (2018) in the context of conventional unit root testing, is achieved ...
David I. Harvey +3 more
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Asian Journal of Probability and Statistics, 2021 This paper provides an exact characterisation of the zeroes of the Riemann zeta function. The characterisation is based on a theorem about random vectors, which says that under some conditions, if a vector is always in the convex hull of the conditional expectations corresponding to any two mutually exclusive and exhaustiveevents, then the ...
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Harmonic numbers, harmonic series and zeta function
Moroccan Journal of Pure and Applied Analysis, 2018 This paper reviews, from different points of view, results on Bernoulli numbers and polynomials, the distribution of prime numbers in connexion with the Riemann hypothesis. We give an account on the theorem of G. Robin, as formulated by J. Lagarias.
Sebbar Ahmed
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Approximate functional approximations and the Riemann hypothesis [PDF]
, 1966 Robert Spira
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Cointegrating Polynomial Regressions With Power Law Trends
Journal of Time Series Analysis, EarlyView.ABSTRACT The common practice in cointegrating polynomial regressions (CPRs) often confines nonlinearities in the variable of interest to stochastic trends, thereby overlooking the possibility that they may be caused by deterministic components. As an extension, we propose univariate and multivariate CPRs that incorporate power law deterministic trends.
Yicong Lin, Hanno Reuvers
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