This paper presents an estimator of location vector based on one dimensional projection of high dimensional data.The properties of the new estimator including consistency,asymptotic normality and robustness are discus...This paper presents an estimator of location vector based on one dimensional projection of high dimensional data.The properties of the new estimator including consistency,asymptotic normality and robustness are discussed.It is proved that the estimator is not only strongly consistent and asymptotically normal but also with a breakdown point 1/2 and a bounded influence function.展开更多
We analyse further the reliability behaviour of series and parallel systems in the successive damage model initiated by Downton. The results are compared with those obtained for other models with different bivariate d...We analyse further the reliability behaviour of series and parallel systems in the successive damage model initiated by Downton. The results are compared with those obtained for other models with different bivariate distributions.展开更多
The lower confidence limits for response probabilities based on binary response data under the logistic response model are considered by saddlepoint approach.The high order approximation to the conditional distributio...The lower confidence limits for response probabilities based on binary response data under the logistic response model are considered by saddlepoint approach.The high order approximation to the conditional distribution of a statistic for an interested parameter and then the lower confidence limits of response probabilities are derived.A simulation comparing these lower confidence limits with those obtained from the asymptotic normality is conducted.The proposed approximation is applied to two real data sets.Numerical results show that the saddlepoint approximations are much more accurate than the asymptotic normality approximations,especially for the cases of small or moderate sample sizes.展开更多
文摘This paper presents an estimator of location vector based on one dimensional projection of high dimensional data.The properties of the new estimator including consistency,asymptotic normality and robustness are discussed.It is proved that the estimator is not only strongly consistent and asymptotically normal but also with a breakdown point 1/2 and a bounded influence function.
文摘We analyse further the reliability behaviour of series and parallel systems in the successive damage model initiated by Downton. The results are compared with those obtained for other models with different bivariate distributions.
文摘The lower confidence limits for response probabilities based on binary response data under the logistic response model are considered by saddlepoint approach.The high order approximation to the conditional distribution of a statistic for an interested parameter and then the lower confidence limits of response probabilities are derived.A simulation comparing these lower confidence limits with those obtained from the asymptotic normality is conducted.The proposed approximation is applied to two real data sets.Numerical results show that the saddlepoint approximations are much more accurate than the asymptotic normality approximations,especially for the cases of small or moderate sample sizes.
