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Convergence of weighted sums for dependent random variables
Han-Ying Liang,Dong-Xia Zhang,Jong-Il Baek 대한수학회 2004 대한수학회지 Vol.41 No.5
We discuss in this paper the strong convergence for weighted sums of negative associated (in abbreviation: NA) arrays. Meanwhile, the central limit theorem for weighted sums of NA variables and linear process based on NA variables is also considered. As corollary, we get the results on iid of Li et al. ([10]) in NA setting.
A BERRY-ESSEEN TYPE BOUND OF REGRESSION ESTIMATOR BASED ON LINEAR PROCESS ERRORS
Liang, Han-Ying,Li, Yu-Yu Korean Mathematical Society 2008 대한수학회지 Vol.45 No.6
Consider the nonparametric regression model $Y_{ni}\;=\;g(x_{ni})+{\epsilon}_{ni}$ ($1\;{\leq}\;i\;{\leq}\;n$), where g($\cdot$) is an unknown regression function, $x_{ni}$ are known fixed design points, and the correlated errors {${\epsilon}_{ni}$, $1\;{\leq}\;i\;{\leq}\;n$} have the same distribution as {$V_i$, $1\;{\leq}\;i\;{\leq}\;n$}, here $V_t\;=\;{\sum}^{\infty}_{j=-{\infty}}\;{\psi}_je_{t-j}$ with ${\sum}^{\infty}_{j=-{\infty}}\;|{\psi}_j|$ < $\infty$ and {$e_t$} are negatively associated random variables. Under appropriate conditions, we derive a Berry-Esseen type bound for the estimator of g($\cdot$). As corollary, by choice of the weights, the Berry-Esseen type bound can attain O($n^{-1/4}({\log}\;n)^{3/4}$).
Role of Selenium in Alteration of Erythrocyte Parameters in Bovine Fluorosis
Han, Bo,Yoon, Soon-Seek,Wu, Pei-Fu,Han, Hong-Ryul,Liang, Li-Cheng Asian Australasian Association of Animal Productio 2006 Animal Bioscience Vol.19 No.6
Signs of dental discolouration, difficulty in mastication, bony exostosis and debility were observed in cattle from Qingtongxia Ningxia, China where fluoride concentration in drinking water, soil, fodder, serum, bone, teeth, haircoat and urine were significantly higher than the corresponding health site. The problem of fluorosis in beef cattle is attributable to water containing toxic levels of fluoride. The objective of this paper was therefore to evaluate the influence of fluoride on erythrocyte parameters in cattle under high fluoride and low selenium conditions, as well as the protective efficacy of selenium exposure in feedstuff for bovine endemic fluorosis. Sixteen 6 to 7 year-old high fluoride beef cattle were randomly allotted into two groups each with eight cows: high fluoride control group, and supplemented with 0.25 mg/kg selenium per day for 83 days respectively. In addition, eight 6 to 7 year-old normal control beef cattle were selected from a non-high fluoride site. Blood samples were collected on day 0, 30 and 83 for erythrocyte parameters analysis and scanning electronic microscopy. The results indicated that erythrocytes, hemoglobin, packed cell volume values and $Na^+-K^+$ ATPase activity from affected cattle on the high fluoride site were significantly reduced during the period as compared with the corresponding samples of normal control cattle, a great number of echinocytes were present in peripheral blood, and subsequent anaemia. However, affected cattle exposed to selenium revealed increasable erythrocyte parameters, the extent of elevation in these values being dependent on the duration of supplementation with selenium. These findings suggest that fluoride exposure can cause erythrocyte damage, whereas selenium supplementation can antagonize fluoride-induced generation of free radicals and cumulative effects of lipid peroxidation in erythrocytes. Selenium supplementation may help to alleviate the possible hazards associated with bovine endemic fluorosis.
Do Business Relationships Affect the Accuracy of Analyst Earnings Forecasts? Evidence from China
Liang Han,Shengnian Wang,Chunyan Wei 한국증권학회 2017 Asia-Pacific Journal of Financial Studies Vol.46 No.1
Supporting the “conflicts of interest hypothesis,” we show that, in China, better-informed analysts issue more optimistically biased forecasts and the reputation of financial analysts mitigates the bias. We contribute to the literature by showing that such an adverse information effect varies over types of investment banking relationships and a better developed local legal environment reduces forecast bias. Our results call for a better developed market mechanism to discipline analysts so as to issue independent and accurate earnings forecasts in China.
Multiscale modeling for compressive strength of concrete columns with circular cross-section
Han-liang Wu,Yuan-Feng Wang 사단법인 한국계산역학회 2015 Computers and Concrete, An International Journal Vol.15 No.6
In order to construct a multiscale model for the compressive strength of plain concrete columns with circular cross section subjected to central longitudinal compressive load, a column failure mechanism is proposed based on the theory of internal instability. Based on an energy analysis, the multiscale model is developed to describe the failure process and predict the column’s compressive strength. Comparisons of the predicted results with experimental data show that the proposed multiscale model can accurately represent both the compressive strength of the concrete columns with circular cross section, and the effect of column size on its strength.
A Berry-Esseen type bound of regression estimator based on linear process errors
Han-Ying Liang,Yu-Yu Li 대한수학회 2008 대한수학회지 Vol.45 No.6
Consider the nonparametric regression model Yni = g(xni)+ ∈ni (1 ≤ i ≤ n), where g(·) is an unknown regression function, xni are known fixed design points, and the correlated errors {∈ni, 1 ≤ i ≤ n} have the same distribution as {Vi, 1 ≤ i ≤ n}, here Vt = [수식] with [수식] and {et} are negatively associated random variables. Under appropriate conditions, we derive a Berry-Esseen type bound for the estimator of g(·). As corollary, by choice of the weights, the Berry- Esseen type bound can attain O(n−¹/⁴(log n)³/⁴). Consider the nonparametric regression model Yni = g(xni)+ ∈ni (1 ≤ i ≤ n), where g(·) is an unknown regression function, xni are known fixed design points, and the correlated errors {∈ni, 1 ≤ i ≤ n} have the same distribution as {Vi, 1 ≤ i ≤ n}, here Vt = [수식] with [수식] and {et} are negatively associated random variables. Under appropriate conditions, we derive a Berry-Esseen type bound for the estimator of g(·). As corollary, by choice of the weights, the Berry- Esseen type bound can attain O(n−¹/⁴(log n)³/⁴).