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101.
In this paper, the a posteriori error estimates of Chebyshev–Petrov–Galerkin approximations are investigated. For simplicity, we choose the Poisson equation with Dirichlet boundary conditions to discuss the a posteriori error estimators, and deduce their efficient and reliable properties. Some numerical experiments are performed to verify the theoretical analysis for the a posteriori error estimators. 相似文献
102.
A test of the independence of two sets of variables is developed to have high power against a special family of dependence. In this each set of variables has the structure of a single factor model and the dependence is solely via the correlation γ between the underlying latent variables. This is a model with only one nonzero canonical correlation. It is shown that a test based on the maximum likelihood estimate of γ is appreciably more powerful than that based on r1, the largest sample canonical correlation. If, however, the model is used, not just as a family of alternatives but as the basis for interpretation, and if substantial cross-correlation is present then the procedure is essentially equivalent to the use of r1. 相似文献
103.
This paper proposes bootstrap tests for the presence of unit roots in a seasonal autoregressive model. The asymptotic validity of the proposed bootstrap scheme is established, and Monte Carlo experiments are used to investigate the small-sample performance of the tests. 相似文献
104.
§ 1.Introduction and Notations In this paper,for any given matrices A and B,A B denotes the Kronecker productof A and B,A is a vector formed by stacking the columns of A under each other,μ(A)is a space generated by the columns of A,and PA=A(A′A) - A′. Fourthmore,if A andB are square matrices,then A>B and A≥ B mean that A-B is a symmetrical positiveand nonnegative matrix,respectively,andλi(A) is the i-th largest eigenvalue of A. Consider general multivariate linear modelY … 相似文献
105.
本文讨论截断数据生存函数的估计问题。由于在寿命试验中截断分布G(y)往往是人们5自己设计的,从类似Buckley和James处理期望的思想出发,文中给出了一个新的估计,并计算了它的期望和方差。 相似文献
106.
In this paper we obtain exact rates of uniform convergence for oscillation moduli and Lipschitz-1/2 moduli of PL-process and cumulative hazard process when the data are subject to left truncation and right censorship. Based on these results, the exact rates of uniform convergence for various types of density and hazard function estimators are derived. Research supported by the Postdoctoral Programme Foundation and the National Natural Science Foundation of China 相似文献
107.
Patricia Gimenez Heleno Bolfarine Enrico A. Colosimo 《Annals of the Institute of Statistical Mathematics》2000,52(4):698-711
In this paper, hypotheses testing based on a corrected score function are considered. Five different testing statistics are proposed and their asymptotic distributions are investigated. It is shown that the statistics are asymptotically distributed according to the chisquare distribution or can be written as a linear combination of chisquare random variables with one degree of freedom. A small scale numerical Monte Carlo study is presented in order to compare the empirical size and power of the proposed tests. A comparative calibration example is used to illustrate the results obtained. 相似文献
108.
A.M. Abd-Elfattah E.A. El-Sherpieny S.M. Mohamed O.F. Abdou 《Applied mathematics and computation》2010,215(12):4198-3099
This paper proposes some estimators for the population mean by adapting the estimator in Singh et al. (2008) [5] to the ratio estimators presented in Kadilar and Cingi 2006 [2]. We obtain mean square error (MSE) equation for all proposed estimators, and show that all proposed estimators are always more efficient than ratio estimator in Naik and Gupta (1996) [3], and Singh et al. (2008) [5]. The results have been illustrated numerically by taking some empirical population considered in the literature. 相似文献
109.
In this paper, a nonparametric method for reliabilityof the stress-strength model is proposed when the dependent stress variableand strength variable are subject to right censoring. The dependence betweenvariables is measured by the common Farlie-Gumbel-Morgenstern copula functionand Clayton copula function. Using the empirical process theory, consistencyand asymptotic normality of the proposed estimator is established in thispaper. The results of numerical simulation show that the proposed methodperforms well in the case of finite sample. The method proposed in this paperhas a wide application prospect in practice. 相似文献
110.
过程能力指数(C_p)估计的关键是对总体标准差的估计。在多个子样本情形下,采用4个无偏估计量■,■_s,■_R,■_p分别估计总体标准差σ,证明了直接以此为基础的过程能力指数的估计量都是有偏的,且都有高估C_p的倾向;之后构造了C_p的4个无偏估计量;探讨了其中3个无偏估计量的估计效率;最后结合案例计算了C_p的不同估计值。 相似文献