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 GdPt2_{2}

The resistivity, magnetoresistance and in-field heat capacity measurements were performed on GdPt$_{2}$ intermetallic compound. The magnetocaloric parameters $\Delta T_{ad}$ and $-\Delta S$ were derived from the in-field heat capacity data. Comparison has been made between the magnetocaloric effect $-\Delta S$ and difference in resistivity $-\Delta \rho$ $(=\rho(H)-\rho(0))$ as a function of temperature. There is distinct difference in the temperature dependence of $-\Delta S$ and $-\Delta \rho$ below the ferromagnetic transition temperature. However after removing the domain wall contribution from $-\Delta \rho$, the nature of $-\Delta S$ and $-\Delta \rho$ 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 $g$-atomic subspace for a bounded linear operator and construct several useful resolutions of the identity operator on a Hilbert space using the theory of $g$-fusion frames. Also, we shall describe the concept of frame operator for a pair of $g$-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

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 La0.125_{0.125}Ca0.875_{0.875}MnO3_{3}

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 La$_{0.125}$Ca$_{0.875}$MnO$_{3}$ 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 $\sim 60$ 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