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A Note on Bounds for the Estimation Error Variance of a Continuous Stream with Stationary Variogram
Barnett, N.S.,Dragomir, S.S. 한국산업정보응용수학회 1998 한국산업정보응용수학회 Vol.2 No.2
In this paper, by the use of an Ostrowski type integral inequality for double integrals, we establish an upper bound for the estimation error variance of a continuous stream with stationary variogram.
AN IDENTITY FOR n-TIME DIFFERENTIABLE FUNCTIONS AND APPLICATIONS FOR OSTROWSKI TYPE INEQUALITIES
Barnett, N.S.,Dragomir, S.S. The Youngnam Mathematical Society Korea 2003 East Asian mathematical journal Vol.19 No.2
An identity for n-time differentiable functions of a real variable in terms of multiple integrals and applications for Ostrowski type inequalities are given.
Size dependent conduction characteristics of catalyst-multi-walled carbon nanotube junction
Barnett Chris J.,Orbaek White Alvin,Barron Andrew R. 한국탄소학회 2021 Carbon Letters Vol.31 No.5
Multi-walled carbon nanotubes (MWCNTs) grown by chemical vapor deposition retain the residual catalyst particles from which the growth occurred, which are considered a detriment to MWCNTs’ performance, especially electrical conductivity. The frst direct measurements have been made of the electrical transport through the catalyst cap into the MWCNT using nanoscale 2-point-probe to determine the efects of the catalyst particle’s size and the diameter ratio with its associated MWCNT on the electrical transport through the catalyst cap as compared to the inherent conductivity of the MWCNT. The MWCNT diameter is independent of the catalyst size, but the ratio of the catalyst cap diameter to MWCNT diameter (DC/DNT) determines the conduction mechanism. Where DC/DNT is greater than 1 the resulting I–V curve is near ohmic, and the conduction through the catalyst (RC+NT) approaches that of the MWCNT (RNT); however, when the DC/DNT<1 the I–V curves shift to rectifying and RC+NT> >RNT. The experimental results are discussed in relation to current crowding at the interface between catalyst and nanotube due to an increased electric feld.
A PERTURBED TRAPEZOID INEQUALITY IN TERMS OF THE FOURTH DERIVATIVE
Barnett, N.S.,Dragomir, S.S. 한국전산응용수학회 2002 The Korean journal of computational & applied math Vol.9 No.1
Some error estimates in terms of the p-norms of the fourth derivative for the remainder in a perturbed trapezoid formula are given. Applications for the expectation of a random variable and the Hermite-Hadamard divergence in Information Theory are also pointed out.
Issues of Estimation in the Monitoring of Constant Flow Continuous Streams
BARNETT, N.S.,DRAGOMIR, S.S. 한국산업정보응용수학회 2000 한국산업정보응용수학회 Vol.4 No.1
This paper deals with some fundamental matters pertaining to estimation of critical quantities associated with continuous processes which are frequently related to the quality rating of the product. Specifically, it examines bounds on estimation and bounds on the estimation error variance. It draws on recent results from the theory of mathematical inequalities and their applications.
Trends in State Funded Preschool in the United States : Findings from 10 Years of Policy Surveys
Steven Barnett,Megan Carolan 육아정책연구소 2013 International Journal of Child Care and Education Vol.7 No.1
An annual survey by the National Institute for Early Education Research has traced state pre-K policy change in the United States since 2001. Such programs are only one part of a system that also includes a large federal program (Head Start) and a large private sector. The last decade was one of large changes in enrollment, policies relating to access and quality, and expenditures. Not all of these chances were positive, and it appears that the Great Recession had substantial negative impacts. Major trends in state pre-K include large enrollment growth at age 4, while enrollment at age 3 changed little, universal adoption of comprehensive early learning standards and, modestly, in program quality standards. On the downside, state expenditure per child fell by more than $1,000 adjusting for inflation over 10 years. Some disadvantaged groups who might benefit most from high quality state pre-K have the least access, such as English language learners and Hispanic children. State policies show extreme variation, and the range increased over the decade. Some states moved to universal enrollment while others still have no program. State funding per child varies by almost $10,000 per pupil from highest to lowest. Surveys such as this are an important tool for understanding how policy varies over time and geopolitical boundaries as well as examining equity in access to quality.