This paper is concerned with an important issue in finite mixture modelling, the selection of the number of mixing components. We propose a new penalized likelihood method for model selection of finite multivariate Gaussian mixture models. The proposed method is shown to be statistically consistent in determining of the number of components. A modified EM algorithm is developed to simultaneously select the number of components and to estimate the mixing weights, i.e. the mixing probabilities, and unknown parameters of Gaussian distributions. Simulations and a real data analysis are presented to illustrate the performance of the proposed method.
To simply and effectively enhance the conversion capability of wearable thermoelectric textiles, a two-step in situ method is adopted to fabricate dual-shell photothermoelectric textiles which is made of polypropylene fibers with a photo-thermal layer (PPy) and a thermoelectric layer (PEDOT:Tos). The PPy is tailored to achieve high temperature and photothermoelectric effects. The PPy layer can significantly increase the photothermal conversion efficiencies of as-prepared fabric. The optimized photothermoelectric fabric can improve the generated voltage output from 294.13 to 536.47 μV under the infrared light, and its power density is up to 13.76 nW•m −2 . A flexible photothermoelectric strip composed of as-prepared fabric coated with Ag particles and textile substrates with low thermal conductivity shows a voltage output of 2.25, 0.677, and 0.183 mV and a power output of 0.7031, 0.0636, and 0.0049 nW under IR light, sunlight, and on the arm, respectively. The photothermoelectric fabrics display potential as to a new smart wearable device for converting light and electricity.
Environmental
pollution, especially air pollution, seriously endangers
public health globally. Due to severe air pollution, air filters still
face many challenges, especially in terms of filtration performance
and filtration stability. Herein, a zeolitic imidazolate framework-8/polypropylene–polycarbonate
barklike meltblown fibrous membrane (PPC/ZIF-8) was designed through
meltblown and an in situ growth method, achieving efficient PM2.5 capture and high filtration stability under a harsh environment.
After in situ growth, the PPC/ZIF-8 membrane could dramatically enhance
the PM2.5 filtration efficiency without increasing the
pressure drop; the PM2.5 filtration efficiency and quality
factor were up to 32.83 and 116.86% higher than those of the pure
PPC membrane, respectively. Moreover, through five filtration–wash–dry
cycles, the PM2.5 filtration performance is still at a
high level. This PPC/ZIF-8 membrane provides a new strategy for the
preparation of an air filter with excellent comprehensive filtration
performance.
The pulse wave velocity (PWV) of aortic blood flow is considered a surrogate for aortic compliance. A new method using phase-contrast (PC)-MRI is presented whereby the spatial and temporal profiles of axial velocity along the descending aorta can be analyzed. Seventeen young healthy volunteers (the YH group), six older healthy volunteers (the OH group), and six patients with coronary artery disease (the CAD group) were studied. PC-MRI covering the whole descending aorta was acquired, with velocity gradients encoding the in-plane velocity. From the corrected axial flow velocity profiles, PWV was determined from the slope of an intersecting line between the presystolic and early systolic phases. Furthermore, the aortic elastic modulus (Ep) was derived from the ratio of the brachial pulse pressure to the strain of the aortic diameter. The PWV increased from YH to OH to CAD (541 ؎ 94, 808 ؎ 184, 1121 ؎ 218 cm/s, respectively; P ؍ 0.015 between YH and OH; P ؍ 0.023 between OH and CAD). There was a high correlation between PWV and Ep (r ؍ 0.861, P < 0.001). Multivariate analysis showed that age and CAD were independent risk factors for an increase in the PWV. Compared to existing methods, our method requires fewer assumptions and provides a more intuitive and objective way to estimate the PWV. Magn Reson Med 56:876 -883, 2006.
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