Research ArticleOpen accessPhrase in the titleTHE EFFICIENCY OF EMPIRICAL LIKELIHOOD WITH NUISANCE PARAMETERSXing WangIn this study we check the asymptotic efficiency of empirical likelihood in the presence of nuisance parameters combined with augmented moment conditions. We show that in the presence of nuisance parameters, the asymptotic efficiency of the empirical likelihood estimator of the parameter of interest will increase by adding more moment conditions, in the sense of the positive semidefiniteness of the … …Journal of Mathematics and Statistics, Vol. 10, Issue 2 · 17 Feb 2014 · 6,791 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleEMPIRICAL LIKELIHOOD ESTIMATION BASED ON SIMULATED MOMENT CONDITIONSXing WangIn this study we discuss the optimization of the Empirical Likelihood (EL) criterion function when the moment condition is nonstandard. We deal with this issue following the Method of Simulated Moment (MSM) introduced and we use importance sampling method to smooth discrete moment conditions. We have demonstrated the convergence and asymptotic normality of the empirical likelihood estimator from the simulated … …Journal of Mathematics and Statistics, Vol. 10, Issue 2 · 17 Feb 2014 · 6,770 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleTHE RATE FUNCTION OF S-MIXING PROCESS AND ITS APPLICATION IN EVALUATING EMPIRICAL LIKELIHOOD TESTSXing WangIn this study we show that the rate function of S-Mixing stationary process with part of the hypermixing condition is equivalent to the Kullback-Leibler distance. This finding can be used to extend the result of the optimality of empirical likelihood test in i.i.d setting to weakly depended case, so that the Asymptotic Relative Efficiency (ARE) of the empirical likelihood test … …Journal of Mathematics and Statistics, Vol. 9, Issue 4 · 28 Oct 2013 · 6,615 accessesView PDFCite
Research ArticleOpen accessIn the abstractAn Empirical Study of Robust Modified Recursive Fits of Moving Average ModelsMohamed Ali Ismail, Hend A. Auda, Joe W. McKean, Mahmoud Mohamed SadekThe time-series Moving Average (MA) model is a nonlinear model; see, for example. For traditional Least Squares (LS) fits, there are several algorithms to use for computing its fit. Since the model is nonlinear, Fuller discusses a Newton-type step algorithm. proposed a recursive algorithm based on a sequence of three linear LS regressions. In this study, we robustify Koreisha and … …Journal of Mathematics and Statistics, Vol. 18, Issue 1 · 28 Jul 2022 · 5,859 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordEffects of Students' Beliefs on Mathematics and Achievement of University Students: Regression Analysis ApproachVelo Suthar, Rohani Ahmad TarmiziProblem statement: At present, after almost more than 20-decades, Malaysia can boast of a solid national philosophy of education, despite tremendous struggles and hopes. The professional learning opportunities are necessary to enhance, support and sustain student's mathematics achievement. Approach: Empirical evidence had shown that student's belief in mathematics is crucial in meeting career aspiration. In addition mathematical beliefs are closely … …Journal of Social Sciences, Vol. 6, Issue 2 · 30 Jun 2010 · 8,016 accessesView PDFCite