The Experts below are selected from a list of 42312 Experts worldwide ranked by ideXlab platform
Vito Lampret - One of the best experts on this subject based on the ideXlab platform.
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a simple Asymptotic Estimate of wallis ratio using stirling s factorial formula
Bulletin of the Malaysian Mathematical Sciences Society, 2019Co-Authors: Vito LampretAbstract:Several new, accurate, simple, Asymptotic Estimates of Wallis’ ratio $$w_n:=\prod \nolimits _{k=1}^{n} \frac{2k-1}{2k}$$ are obtained on the bare the Bernoulli coefasis of Stirling’s factorial approximation formula. Some Asymptotic Estimates of $$\pi $$ in terms of Wallis’ ratios $$w_n$$ are also presented.
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A Simple Asymptotic Estimate of Wallis’ Ratio Using Stirling’s Factorial Formula
Bulletin of the Malaysian Mathematical Sciences Society, 2018Co-Authors: Vito LampretAbstract:Several new, accurate, simple, Asymptotic Estimates of Wallis’ ratio $$w_n:=\prod \nolimits _{k=1}^{n} \frac{2k-1}{2k}$$ are obtained on the bare the Bernoulli coefasis of Stirling’s factorial approximation formula. Some Asymptotic Estimates of $$\pi $$ in terms of Wallis’ ratios $$w_n$$ are also presented.
Geoffrey B. West - One of the best experts on this subject based on the ideXlab platform.
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Reply to Comments on ``Asymptotic Estimate of the {\it n}-Loop QCD Contribution to the Total $e^{+}e^{-}$ Annihilation Cross Section''
arXiv: High Energy Physics - Phenomenology, 1992Co-Authors: Geoffrey B. WestAbstract:Reply to Comments on ``Asymptotic Estimate of the {\it n}-Loop QCD Contribution to the Total $e^{+}e^{-}$ Annihilation Cross Section''
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Asymptotic Estimate of the n loop qcd contribution to the total e e annihilation cross section
Physical Review Letters, 1991Co-Authors: Geoffrey B. WestAbstract:A technique for estimating the large-order QCD perturbative contributions to the total {ital e}{sup +}{ital e{minus}} total cross section is presented which is based upon the renormalization group and momentum analyticity. Our Estimate for the coefficient of ({alpha}{sub {ital s}}/{pi}){sup 3} has recently been confirmed by two exact calculations. We find that the effective expansion parameter is, in fact, not {alpha}{sub {ital s}}/{pi} but rather 4{pi}{sup 2}{ital eb}{sub 1}({alpha}{sub {ital s}}/{pi}), where {ital b}{sub 1} is the first coefficient in the expansion of the {beta} function.
Simone Garatti - One of the best experts on this subject based on the ideXlab platform.
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A counterexample to the uniqueness of the Asymptotic Estimate in ARMAX model identification via the correlation approach
Systems & Control Letters, 2014Co-Authors: Simone GarattiAbstract:Abstract This paper deals with the identifiability of an ARMAX system when the correlation approach is adopted. In general, identifiability depends on both the parametrization of the model class and on the informativeness of the data. Here, we focus on the latter aspect and, therefore, a full-order model class is considered. The main goal is to provide a counterexample to the uniqueness of the Asymptotic Estimate when a persistently exciting input is adopted. This shows the somehow counterintuitive fact that the identifiability of ARMAX systems within the correlation approach is related to the “color” of the input.
Lixin Song - One of the best experts on this subject based on the ideXlab platform.
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the Asymptotic Estimate for the sum of two correlated classes of discounted aggregate claims with heavy tails
Statistics & Probability Letters, 2011Co-Authors: Xiaodong Bai, Lixin SongAbstract:Consider a risk model with two correlated classes of insurance business and a constant force of interest. We assume that the correlation comes from a common shock and that the claim-size distribution is heavy-tailed. Under this setting, we investigate the tail behavior of the sum of the two correlated classes of discounted aggregate claims. We obtain the uniform Asymptotic formulas for some subclass of subexponential distributions.
Alain Kibangou - One of the best experts on this subject based on the ideXlab platform.
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Scale-free estimation of the average state in large-scale systems
IEEE Control Systems Letters, 2019Co-Authors: Muhammad Umar Niazi, Diego Deplano, Carlos Canudas De Wit, Alain KibangouAbstract:This paper provides a computationally tractable necessary and sufficient condition for the existence of an average state observer for large-scale linear time-invariant (LTI) systems. Two design procedures, each with its own significance, are proposed. When the necessary and sufficient condition is not satisfied, a methodology is devised to obtain an optimal Asymptotic Estimate of the average state. In particular, the estimation problem is addressed by aggregating the unmeasured states of the original system and obtaining a projected system of reduced dimension. This approach reduces the complexity of the estimation task and yields an observer of dimension one. Moreover, it turns out that the dimension of the system also does not affect the upper bound on the estimation error.
