175 research outputs found
Asymptotic optimality of a cross-validatory predictive approach to linear model selection
In this article we study the asymptotic predictive optimality of a model
selection criterion based on the cross-validatory predictive density, already
available in the literature. For a dependent variable and associated
explanatory variables, we consider a class of linear models as approximations
to the true regression function. One selects a model among these using the
criterion under study and predicts a future replicate of the dependent variable
by an optimal predictor under the chosen model. We show that for squared error
prediction loss, this scheme of prediction performs asymptotically as well as
an oracle, where the oracle here refers to a model selection rule which
minimizes this loss if the true regression were known.Comment: Published in at http://dx.doi.org/10.1214/074921708000000110 the IMS
Collections (http://www.imstat.org/publications/imscollections.htm) by the
Institute of Mathematical Statistics (http://www.imstat.org
Influence of Domain Wall on Magnetocaloric Effect in GdPt
The resistivity, magnetoresistance and in-field heat capacity measurements
were performed on GdPt intermetallic compound. The magnetocaloric
parameters and were derived from the in-field heat
capacity data. Comparison has been made between the magnetocaloric effect
and difference in resistivity
as a function of temperature. There is distinct difference in the temperature
dependence of and below the ferromagnetic transition
temperature. However after removing the domain wall contribution from , the nature of and dependence as a function of
temperature are similar. Our observation indicates that the domain wall
contribution in magnetocaloric effect is negligible in spite of the fact that
it has significant contribution in magnetotransport.Comment: RevTex 4 pages, 6 figure
Generalized atomic subspaces for operators in Hilbert spaces
summary:We introduce the notion of a -atomic subspace for a bounded linear operator and construct several useful resolutions of the identity operator on a Hilbert space using the theory of -fusion frames. Also, we shall describe the concept of frame operator for a pair of -fusion Bessel sequences and some of their properties
Stability of dual controlled g-fusion frames in Hilbert spaces
Some properties of controlled K-g-fusion frame have been discussed. Characterizations of controlled K-g-fusion frame are being presented.We also establish a relationship between quotient operator and controlled K-g-fusion frame. Some algebric properties of controlled K-g-fusion frame have been described. Finally, we shall discuss the stability of dual controlled g-fusion frame.Publisher's Versio
Generalized fusion frame in tensor product of Hilbert spaces
Generalized fusion frame and some of their properties in tensor product of
Hilbert spaces are described. Also, the canonical dual g-fusion frame in tensor
product of Hilbert spaces is considered. Finally, the frame operator for a pair
of g-fusion Bessel sequences in tensor product of Hilbert spaces is presented.Comment: 15 page
Introduction of frame in tensor product of n-Hilbert spaces
We study the concept of frame in tensor product of n-Hilbert spaces as tensor
product of n-Hilbert spaces is again a n-Hilbert space. We generalize some of
the known results about bases to frames in this new Hilbert space. A
relationship between frame and bounded linear operator in tensor product of
n-Hilbert spaces is studied. Finally, the dual frame in tensor product of
n-Hilbert spaces is discussed.Comment: 18 pages. arXiv admin note: text overlap with arXiv:2101.0165
Stability of a functional equation in complex banach spaces
Using fixed point technique, in the present paper , we wish to examine generalization of the Hyers-Ulam-Rassias stability theorem for the functional equations f ( 2 x + i y ) + f ( x + 2 i y ) = 4 f ( x + i y ) + f ( x ) + f ( y ) (0.1) and f ( 2 x + i y ) − f (i x − 2 y ) = − 4 f (i x − y ) + f ( x ) − f ( − y ) (0.2) in complex Banach spaces .Publisher's Versio
Magnetocaloric properties of nanocrystalline LaCaMnO
Some recent experimental studies show the invisibility of antiferromagnetic
transition in the cases of manganites when their particle size is reduced to
nanometer scale. In complete contrast to these cases, we have observed the
signature of antiferromagnetic transition in the magnetocaloric properties of
nanocrystalline LaCaMnO of average particle size 70
and 60 nm similar to its polycrystalline bulk form. The system exhibit inverse
magnetocaloric effect in its polycrystalline and nanocrystalline form. An extra
ferromagnetic phase is stabilized at low temperature for the sample with
particle size nm.Comment: 3 Figure
Optimization of antimicrobial finishing on cotton muslin fabric by treatment with PEG, chitosan and cetrimide
In the present work, combinations of different concentrations of binary mixture of chitosan + PEG, chitosan + cetrimideand PEG + cetrimide have been applied on bleached cotton muslin fabric by pad-dry-cure process in the presenceof citric acid + sodium hydrogen phosphate catalyst, and the consequent percentage strength retention aftertreatment, percentage strength retention after soil burial test and average bacterial reduction % are evaluated with an aim tooptimize the concentrations of chitosan, polyethylene glycol and cetrimide to achieve a balance between antimicrobialproperties and tenacity retention. Optimization results show that the application of 2% chitosan + 2% PEG (50:50) withcitric acid and SHP as mixed catalyst system gives shows very good antimicrobial/ rot resistant properties without much loss of tenacity
Large magnetocaloric effects over a wide temperature range in MnCo 1-xZnxGe
The magnetic and structural transitions can be controlled to coincide by partial substitution of Zn for Co in MnCo1-xZnxGe, leading to a large magnetocaloric effects over a wide temperature range. The magnetostructural transition from paramagnetic to ferromagnetic state results in magnetic entropy changes (-ΔSM) of 26 J/kg K at 327 K for ΔH 5 T in the case of x 0.045. Interestingly, a structurally driven first-order phase transition between two high magnetization states as observed for x 0.05 and 0.06 also lead to large values of -ΔSM 31.4 and 20.6 J/kg K for ΔH 5 T at 281 and 209 K, respectively. The observed large magnetocaloric effects with tunable phase transition temperatures make these materials promising for near room-temperature magnetic cooling applications. © 2013 American Institute of Physics
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