Wavelet analysis is one of the mostly new methods of pure and applied mathematics science. In this paper, we use the wavelet method to estimate the hazard function for censoring random variable. We consider the conver...Wavelet analysis is one of the mostly new methods of pure and applied mathematics science. In this paper, we use the wavelet method to estimate the hazard function for censoring random variable. We consider the convergence ratio of given estimator. Also we present the simulation in order to test purpose estimator by calculating the mean integrated squared error (MISE) and average mean squared error (AMSE).展开更多
The problem of hazard rate estimation under right-censored assumption has been investigated extensively.Integrated square error(ISE)of estimation is one of the most widely accepted measurements of the global performan...The problem of hazard rate estimation under right-censored assumption has been investigated extensively.Integrated square error(ISE)of estimation is one of the most widely accepted measurements of the global performance for nonparametric kernel estimation.But there are no results available for ISE of hazard rate estimation under right-censored model with censoring indicators missing at random(MAR)so far.This paper constructs an imputation estimator of the hazard rate function and establish asymptotic normality of the ISE for the kernel hazard rate estimator with censoring indicators MAR.At the same time,an asymptotic representation of the mean integrated square error(MISE)is also presented.The finite sample behavior of the estimator is investigated via one simple simulation.展开更多
Present day power scenarios demand a high quality uninterrupted power supply and needs environmental issues to be addressed. Both concerns can be dealt with by the introduction of the renewable sources to the existing...Present day power scenarios demand a high quality uninterrupted power supply and needs environmental issues to be addressed. Both concerns can be dealt with by the introduction of the renewable sources to the existing power system. Thus, automatic generation control(AGC) with diverse renewable sources and a modified-cascaded controller are presented in the paper.Also, a new hybrid scheme of the improved teaching learning based optimization-differential evolution(hITLBO-DE) algorithm is applied for providing optimization of controller parameters. A study of the system with a technique such as TLBO applied to a proportional integral derivative(PID), integral double derivative(IDD) and PIDD is compared to hITLBO-DE tuned cascaded controller with dynamic load change.The suggested methodology has been extensively applied to a 2-area system with a diverse source power system with various operation time non-linearities such as dead-band of, generation rate constraint and reheat thermal units. The multi-area system with reheat thermal plants, hydel plants and a unit of a wind-diesel combination is tested with the cascaded controller scheme with a different controller setting for each area. The variation of the load is taken within 1% to 5% of the connected load and robustness analysis is shown by modifying essential factors simultaneously by± 30%. Finally, the proposed scheme of controller and optimization technique is also tested with a 5-equal area thermal system with non-linearities. The simulation results demonstrate the superiority of the proposed controller and algorithm under a dynamically changing load.展开更多
LetX 1,…,X n be iid observations of a random variableX with probability density functionf(x) on the q-dimensional unit sphere Ωq in Rq+1,q ? 1. Let $f_n (x) = n^{ - 1} c(h)\sum\nolimits_{i = 1}^n {K[(1 - x'X_i )...LetX 1,…,X n be iid observations of a random variableX with probability density functionf(x) on the q-dimensional unit sphere Ωq in Rq+1,q ? 1. Let $f_n (x) = n^{ - 1} c(h)\sum\nolimits_{i = 1}^n {K[(1 - x'X_i )/h^2 ]} $ be a kernel estimator off(x). In this paper we establish a central limit theorem for integrated square error off n under some mild conditions.展开更多
A central limit theorem for the integrated square error (ISE) of the kernelhazard rate estimators is obtained based on left truncated and right censored data. Anasymptotic representation of the mean integrated square ...A central limit theorem for the integrated square error (ISE) of the kernelhazard rate estimators is obtained based on left truncated and right censored data. Anasymptotic representation of the mean integrated square error (MISE) for the kernel hazardrate estimators is also presented.展开更多
With the interconnection of power grid, the increase of coupling, the rapid development of new energy, the inter-provincial cross-regional power market transactions, it is an important way that the integrated presenta...With the interconnection of power grid, the increase of coupling, the rapid development of new energy, the inter-provincial cross-regional power market transactions, it is an important way that the integrated presentation of grid outage maintenance plan to ensure the safety of power grid, ensure the normal operation of the market, improve the efficiency of maintenance and reduce the cost of maintenance. Maintenance plan is in the annual, monthly, daily and other dimensions of time rolling management process. Maintenance planning level assessment can improve the service level of maintenance plan compilers and the efficiency of maintenance, it also achieves fine management of the power grid. This paper presents an evaluation model of maintenance business level, which is a comprehensive evaluation model of multi-index. The indexes in the model are based on the maintenance service level measurement, the efficiency of the maintenance plan, the emergencies of the maintenance plan and others Impact factors and other aspects of multi-angle assessment. The validity and correctness of the evaluation system and the comprehensive evaluation method are verified by the analysis of practical examples.展开更多
代理模型由于可以有效地缩减学科分析时间,被广泛应用于优化领域。而构建高精度代理模型则取决于样本点在设计空间中的分布。为了建立拟合效率高的近似模型,在已有Kriging代理模型基础上,提出一种基于垂距和最大化点均方差取样(Integrat...代理模型由于可以有效地缩减学科分析时间,被广泛应用于优化领域。而构建高精度代理模型则取决于样本点在设计空间中的分布。为了建立拟合效率高的近似模型,在已有Kriging代理模型基础上,提出一种基于垂距和最大化点均方差取样(Integrated mean square error,IMSE)的多点取样算法,以保证预测精度的同时减少样本数量。该方法将垂距作为判定设计变量取值的标准,进行数据点的初步筛选。选取高斯函数作为设计点之间的相关函数,并且在边缘附近进一步修正。针对实际算例,将该取样算法与多点加点准则比较,结果表明使用的方法在保证全局精度的基础上,采用较少的采样点构建代理模型,具有较高的局部近似精度。展开更多
文摘Wavelet analysis is one of the mostly new methods of pure and applied mathematics science. In this paper, we use the wavelet method to estimate the hazard function for censoring random variable. We consider the convergence ratio of given estimator. Also we present the simulation in order to test purpose estimator by calculating the mean integrated squared error (MISE) and average mean squared error (AMSE).
基金the China Postdoctoral Science Foundation under Grant No.2019M651422the National Natural Science Foundation of China under Grant Nos.71701127,11831008 and 11971171+3 种基金the National Social Science Foundation Key Program under Grant No.17ZDA091the 111 Project of China under Grant No.B14019the Natural Science Foundation of Shanghai under Grant Nos.17ZR1409000 and 20ZR1423000the Project of Humanities and Social Science Foundation of Ministry of Education under Grant No.20YJC910003。
文摘The problem of hazard rate estimation under right-censored assumption has been investigated extensively.Integrated square error(ISE)of estimation is one of the most widely accepted measurements of the global performance for nonparametric kernel estimation.But there are no results available for ISE of hazard rate estimation under right-censored model with censoring indicators missing at random(MAR)so far.This paper constructs an imputation estimator of the hazard rate function and establish asymptotic normality of the ISE for the kernel hazard rate estimator with censoring indicators MAR.At the same time,an asymptotic representation of the mean integrated square error(MISE)is also presented.The finite sample behavior of the estimator is investigated via one simple simulation.
文摘Present day power scenarios demand a high quality uninterrupted power supply and needs environmental issues to be addressed. Both concerns can be dealt with by the introduction of the renewable sources to the existing power system. Thus, automatic generation control(AGC) with diverse renewable sources and a modified-cascaded controller are presented in the paper.Also, a new hybrid scheme of the improved teaching learning based optimization-differential evolution(hITLBO-DE) algorithm is applied for providing optimization of controller parameters. A study of the system with a technique such as TLBO applied to a proportional integral derivative(PID), integral double derivative(IDD) and PIDD is compared to hITLBO-DE tuned cascaded controller with dynamic load change.The suggested methodology has been extensively applied to a 2-area system with a diverse source power system with various operation time non-linearities such as dead-band of, generation rate constraint and reheat thermal units. The multi-area system with reheat thermal plants, hydel plants and a unit of a wind-diesel combination is tested with the cascaded controller scheme with a different controller setting for each area. The variation of the load is taken within 1% to 5% of the connected load and robustness analysis is shown by modifying essential factors simultaneously by± 30%. Finally, the proposed scheme of controller and optimization technique is also tested with a 5-equal area thermal system with non-linearities. The simulation results demonstrate the superiority of the proposed controller and algorithm under a dynamically changing load.
文摘LetX 1,…,X n be iid observations of a random variableX with probability density functionf(x) on the q-dimensional unit sphere Ωq in Rq+1,q ? 1. Let $f_n (x) = n^{ - 1} c(h)\sum\nolimits_{i = 1}^n {K[(1 - x'X_i )/h^2 ]} $ be a kernel estimator off(x). In this paper we establish a central limit theorem for integrated square error off n under some mild conditions.
文摘A central limit theorem for the integrated square error (ISE) of the kernelhazard rate estimators is obtained based on left truncated and right censored data. Anasymptotic representation of the mean integrated square error (MISE) for the kernel hazardrate estimators is also presented.
文摘With the interconnection of power grid, the increase of coupling, the rapid development of new energy, the inter-provincial cross-regional power market transactions, it is an important way that the integrated presentation of grid outage maintenance plan to ensure the safety of power grid, ensure the normal operation of the market, improve the efficiency of maintenance and reduce the cost of maintenance. Maintenance plan is in the annual, monthly, daily and other dimensions of time rolling management process. Maintenance planning level assessment can improve the service level of maintenance plan compilers and the efficiency of maintenance, it also achieves fine management of the power grid. This paper presents an evaluation model of maintenance business level, which is a comprehensive evaluation model of multi-index. The indexes in the model are based on the maintenance service level measurement, the efficiency of the maintenance plan, the emergencies of the maintenance plan and others Impact factors and other aspects of multi-angle assessment. The validity and correctness of the evaluation system and the comprehensive evaluation method are verified by the analysis of practical examples.
文摘代理模型由于可以有效地缩减学科分析时间,被广泛应用于优化领域。而构建高精度代理模型则取决于样本点在设计空间中的分布。为了建立拟合效率高的近似模型,在已有Kriging代理模型基础上,提出一种基于垂距和最大化点均方差取样(Integrated mean square error,IMSE)的多点取样算法,以保证预测精度的同时减少样本数量。该方法将垂距作为判定设计变量取值的标准,进行数据点的初步筛选。选取高斯函数作为设计点之间的相关函数,并且在边缘附近进一步修正。针对实际算例,将该取样算法与多点加点准则比较,结果表明使用的方法在保证全局精度的基础上,采用较少的采样点构建代理模型,具有较高的局部近似精度。