Search results for: Shuhe Hu

Items from 1 to 20 out of 71 results

article

Asymptotics for the linear kernel quantile estimator

Xuejun Wang, Yi Wu, Wei Yu, Wenzhi Yang, more

TEST > 2019 > 28 > 4 > 1144-1174

The method of linear kernel quantile estimator was proposed by Parzen (J Am Stat Assoc 74:105–121, 1979), which is a reasonable estimator for Value-at-risk (VaR). In this paper, we mainly investigate the asymptotic properties for linear kernel quantile estimator of VaR based on $$\varphi $$ φ -mixing samples. At first, the Bahadur representation for sample quantiles under $$\varphi $$ φ ...

article

Comparison of interactions of MgO‐based refractories with Li‐ion battery cathode materials during calcination

Pengtao Zhai, Liugang Chen, Shuhe Hu, Xuan Zhang, more

International Journal of Applied Ceramic Technology > 16 > 1 > 287 - 293

To select refractory major ingredients of saggers for the calcination of Li‐ion battery cathode Li(Ni_xCo_yMn_z)O₂ (LNCM) materials, interactions between MgO‐based refractories, ie, magnesium aluminate (MgAl₂O₄) spinel, forsterite (2MgO·SiO₂), and cordierite (2MgO·2Al₂O₃·5SiO₂), and LNCM materials were compared respectively via refractory‐LNCM precursor cylinder testing in lab‐scale. The phase composition...

article

Effect of micro-sized hydromagnesite addition on the properties of calcium aluminate cement-bonded castables

Shuhe Hu, Liugang Chen, Lingling Zhu, Dafei Ding, more

Ceramics International > 2018 > 44 > 11 > 12973- 12977

To assess the viability of micro-sized hydromagnesite as a precursor in refractory castables bonded with calcium aluminate cement, the volumetric stability and thermo-mechanical properties of high-alumina castables containing different micro-sized hydromagnesite amounts (0–1.6 wt%) after firing at 1550 °C were investigated. Phase composition and microstructure evolution in fired castable matrices...

article

The Berry–Esseen bounds of the weighted estimator in a nonparametric regression model

Xuejun Wang, Yi Wu, Shuhe Hu

Annals of the Institute of Statistical Mathematics > 2019 > 71 > 5 > 1143-1162

Consider the following nonparametric model: $$Y_{ni}=g(x_{ni})+ \varepsilon _{ni},1\le i\le n,$$ Y ni = g ( x ni ) + ε ni , 1 ≤ i ≤ n , where $$x_{ni}\in {\mathbb {A}}$$ x ni ∈ A are the nonrandom design points and $${\mathbb {A}}$$ A is a compact set of $${\mathbb {R}}^{m}$$ R m for some $$m\ge 1$$ m ≥ 1 , $$g(\cdot )$$ g ( · ) is a...

article

On consistency of the weighted least squares estimators in a semiparametric regression model

Xuejun Wang, Xin Deng, Shuhe Hu

Metrika > 2018 > 81 > 7 > 797-820

This paper is concerned with the semiparametric regression model $$y_i=x_i\beta +g(t_i)+\sigma _ie_i,~~i=1,2,\ldots ,n,$$ yi=xiβ+g(ti)+σiei,i=1,2,…,n, where $$\sigma _i^2=f(u_i)$$ σi2=f(ui) , $$(x_i,t_i,u_i)$$ (xi,ti,ui) are known fixed design points, $$\beta $$ β is an unknown parameter to be estimated, $$g(\cdot )$$ g(·) and $$f(\cdot )$$ f(·) are unknown functions, random errors $$e_i$$ ei...

article

Asymptotics of the weighted least squares estimation for AR(1) processes with applications to confidence intervals

Ruidong Han, Xinghui Wang, Shuhe Hu

Statistical Methods & Applications > 2018 > 27 > 3 > 479-490

For the first-order autoregressive model, we establish the asymptotic theory of the weighted least squares estimations whether the underlying autoregressive process is stationary, unit root, near integrated or even explosive under a weaker moment condition of innovations. The asymptotic limit of this estimator is always normal. It is shown that the empirical log-likelihood ratio at the true parameter...

article

Effect of micro-sized MgCO3 addition on properties of MgAl2O4 spinel containing castables

Shuhe Hu, Guotian Ye, Liugang Chen, Wenjing Gu, more

Ceramics International > 2017 > 43 > 13 > 9891-9895

Micro-sized MgCO₃ was used in castables as the MgO-precursor for generating sub-micro sized MgO and for producing subsequent in-situ magnesium aluminate (MgAl₂O₄, MA) spinel. The influence of 0–2.0wt% micro-sized MgCO₃ addition on the volumetric stability and thermo-mechanical properties of castables after firing at 1000°C and 1550°C was investigated. The in-situ spinel formation and its influence...

article

Weighted version of strong law of large numbers for a class of random variables and its applications

Yi Wu, Xuejun Wang, Shuhe Hu, Lianqiang Yang

TEST > 2018 > 27 > 2 > 379-406

In this paper, the single index weighted version of Marcinkiewicz–Zygmund type strong law of large numbers and the double index weighted version of Marcinkiewicz–Zygmund type strong law of large numbers are investigated successively for a class of random variables, which extends the classical results for independent and identically distributed random variables. As applications of the results, we further...

article

Complete moment convergence for weighted sums of weakly dependent random variables and its application in nonparametric regression model

Yi Wu, Xuejun Wang, Shuhe Hu

Statistics & Probability Letters > 2017 > 127 > C > 56-66

In this paper, some results on the complete moment convergence for weighted sums of weakly dependent (or ρ∗-mixing) random variables are established. The results obtained in this paper improve and extend the corresponding one of Sung (2010). As an application of the main results, we present a result on complete consistency for the weighted estimator in a nonparametric regression model based on ρ∗-mixing...

article

Binding S_0.6Se_0.4 in 1D Carbon Nanofiber with CS Bonding for High‐Performance Flexible Li–S Batteries and Na–S Batteries

Yu Yao, Linchao Zeng, Shuhe Hu, Yu Jiang, more

Small > 13 > 19 > n/a - n/a

A one‐step synthesis procedure is developed to prepare flexible S_0.6Se_0.4@carbon nanofibers (CNFs) electrode by coheating S_0.6Se_0.4 powder with electrospun polyacrylonitrile nanofiber papers at 600 °C. The obtained S_0.6Se_0.4@CNFs film can be used as cathode material for high‐performance Li–S batteries and room temperature (RT) Na–S batteries directly. The superior lithium/sodium storage performance...

article

Confined Amorphous Red Phosphorus in MOF‐Derived N‐Doped Microporous Carbon as a Superior Anode for Sodium‐Ion Battery

Weihan Li, Shuhe Hu, Xiangyu Luo, Zhongling Li, more

Advanced Materials > 29 > 16 > n/a - n/a

Red phosphorus (P) has attracted intense attention as promising anode material for high‐energy density sodium‐ion batteries (NIBs), owing to its high sodium storage theoretical capacity (2595 mAh g⁻¹). Nevertheless, natural insulating property and large volume variation of red P during cycling result in extremely low electrochemical activity, leading to poor electrochemical performance. Herein, the...

article

Strong and weak consistency of LS estimators in the EV regression model with negatively superadditive-dependent errors

Xuejun Wang, Yi Wu, Shuhe Hu

AStA Advances in Statistical Analysis > 2018 > 102 > 1 > 41-65

In this paper, the strong laws of large numbers for partial sums and weighted sums of negatively superadditive-dependent (NSD, in short) random variables are presented, especially the Marcinkiewicz–Zygmund type strong law of large numbers. Using these strong laws of large numbers, we further investigate the strong consistency and weak consistency of the LS estimators in the EV regression model with...

article

The large deviation results for the nonlinear regression model with dependent errors

Wenzhi Yang, Zhangrui Zhao, Xinghui Wang, Shuhe Hu

TEST > 2017 > 26 > 2 > 261-283

In this paper, we investigate the least squares (LS) estimator of the nonlinear regression model based on the extended negatively dependent errors which are widely dependent structures. Under the general conditions, we establish some large deviation results for the LS estimator of the nonlinear regression parameter, which can be applied to obtain a weak uniform consistency and a complete convergence...

article

Asymptotics of self-weighted M-estimators for autoregressive models

Xinghui Wang, Shuhe Hu

Metrika > 2017 > 80 > 1 > 83-92

In this paper, we consider a stationary autoregressive AR(p) time series $$y_t=\phi _0+\phi _1y_{t-1}+\cdots +\phi _{p}y_{t-p}+u_t$$ y t = ϕ 0 + ϕ 1 y t - 1 + ⋯ + ϕ p y t - p + u t . A self-weighted M-estimator for the AR(p) model is proposed. The asymptotic normality of this estimator is established, which includes the asymptotic properties under the innovations with finite...

article

Approximations to inverse moments of double-indexed weighted sums

Wenzhi Yang, Xiaoping Shi, Xiaoqin Li, Shuhe Hu

Journal of Mathematical Analysis and Applications > 2016 > 440 > 2 > 833-852

In this paper, we investigate some approximations to inverse moments of double-indexed weighted sums of random variables. Let {Zn} be a sequence of nonnegative independent random variables and {wni} be a triangular array of nonnegative non-random weights. With the finite first moment, we establish that E(a+∑i=1nwniZi)−α∼(a+∑i=1nwniEZi)−α holds for all a>0 and α>0. By the finite r-th moment (r>2),...

article

Complete consistency of estimators for regression models based on extended negatively dependent errors

Wenzhi Yang, Haiyun Xu, Ling Chen, Shuhe Hu

Statistical Papers > 2018 > 59 > 2 > 449-465

In this paper, we investigate the consistency of the estimators of nonparametric regression model and multiple linear regression model based on extended negatively dependent errors. The complete convergence rates of the estimators of nonparametric regression model are presented. In addition, the rth-mean consistency and complete consistency of the least squares estimator of the multiple linear regression...

article

Exponential probability inequality for $$m$$ m -END random variables and its applications

Xuejun Wang, Yi Wu, Shuhe Hu

Metrika > 2016 > 79 > 2 > 127-147

The concept of $$m$$ m -extended negatively dependent ( $$m$$ m -END, in short) random variables is introduced and the Kolmogorov exponential inequality for $$m$$ m -END random variables is established. As applications of the Kolmogorov exponential inequality, we further investigate the complete convergence for arrays of rowwise $$m$$ m -END random variables and the...

article

A note on the strong consistency of M-estimates in linear models

Xinghui Wang, Shuhe Hu

Metrika > 2016 > 79 > 3 > 265-266

We improve a known result on the strong consistency of M-estimates of the regression parameters in a linear model for independent and identically distributed random errors under some mild conditions.

article

The inverse moment for widely orthant dependent random variables

Xiaoqin Li, Xi Liu, Wenzhi Yang, Shuhe Hu

Journal of Inequalities and Applications > 2016 > 2016 > 1 > 1-11

In this paper, we investigate approximations of the inverse moment model by widely orthant dependent (WOD) random variables. Let { Z n , n ≥ 1 } $\{Z_{n},n\geq1\}$ be a sequence of nonnegative WOD random variables, and { w n i , 1 ≤ i ≤ n , n ≥ 1 } $\{w_{ni},1\leq i\leq n,n\geq 1\}$ be a triangular array of nonnegative nonrandom weights. If the first moment is finite, then ...

article

Uniform convergence of estimator for nonparametric regression with dependent data

Xiaoqin Li, Wenzhi Yang, Shuhe Hu

Journal of Inequalities and Applications > 2016 > 2016 > 1 > 1-12

In this paper, the authors investigate the internal estimator of nonparametric regression with dependent data such as α-mixing. Under suitable conditions such as the arithmetically α-mixing and E | Y 1 | s < ∞ $E|Y_{1}|^{s}<\infty$ ( s > 2 $s>2$ ), the convergence rate | m ˆ n ( x ) − m ( x ) | = O P ( a n ) + O ( h 2 ) $|\widehat{m}_{n}(x)-m(x)|=O_{P}(a_{n})+O(h^{2})$...

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INFONA - science communication portal

Search results for: Shuhe Hu

Asymptotics for the linear kernel quantile estimator

Comparison of interactions of MgO‐based refractories with Li‐ion battery cathode materials during calcination

Effect of micro-sized hydromagnesite addition on the properties of calcium aluminate cement-bonded castables

The Berry–Esseen bounds of the weighted estimator in a nonparametric regression model

On consistency of the weighted least squares estimators in a semiparametric regression model

Asymptotics of the weighted least squares estimation for AR(1) processes with applications to confidence intervals

Effect of micro-sized MgCO3 addition on properties of MgAl2O4 spinel containing castables

Weighted version of strong law of large numbers for a class of random variables and its applications

Complete moment convergence for weighted sums of weakly dependent random variables and its application in nonparametric regression model

Binding S_0.6Se_0.4 in 1D Carbon Nanofiber with CS Bonding for High‐Performance Flexible Li–S Batteries and Na–S Batteries

Confined Amorphous Red Phosphorus in MOF‐Derived N‐Doped Microporous Carbon as a Superior Anode for Sodium‐Ion Battery

Strong and weak consistency of LS estimators in the EV regression model with negatively superadditive-dependent errors

The large deviation results for the nonlinear regression model with dependent errors

Asymptotics of self-weighted M-estimators for autoregressive models

Approximations to inverse moments of double-indexed weighted sums

Complete consistency of estimators for regression models based on extended negatively dependent errors

Exponential probability inequality for $$m$$ m -END random variables and its applications

A note on the strong consistency of M-estimates in linear models

The inverse moment for widely orthant dependent random variables

Uniform convergence of estimator for nonparametric regression with dependent data

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