# Asymptotic Estimate

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### Vito Lampret – One of the best experts on this subject based on the ideXlab platform.

• ##### a simple AsymptoticEstimate of wallis ratio using stirling s factorial formula
Bulletin of the Malaysian Mathematical Sciences Society, 2019
Co-Authors: Vito Lampret

Abstract:

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.

• ##### A Simple AsymptoticEstimate of Wallis’ Ratio Using Stirling’s Factorial Formula
Bulletin of the Malaysian Mathematical Sciences Society, 2018
Co-Authors: Vito Lampret

Abstract:

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.

• ##### Reply to Comments on “AsymptoticEstimate of the {\it n}-Loop QCD Contribution to the Total $e^{+}e^{-}$ Annihilation Cross Section”
arXiv: High Energy Physics – Phenomenology, 1992
Co-Authors: Geoffrey B. West

Abstract:

Reply to Comments on “Asymptotic Estimate of the {\it n}-Loop QCD Contribution to the Total $e^{+}e^{-}$ Annihilation Cross Section”

• ##### AsymptoticEstimate of the n loop qcd contribution to the total e e annihilation cross section
Physical Review Letters, 1991
Co-Authors: Geoffrey B. West

Abstract:

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.

• ##### A counterexample to the uniqueness of the AsymptoticEstimate in ARMAX model identification via the correlation approach
Systems & Control Letters, 2014
Co-Authors: Simone Garatti

Abstract:

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.