Robust multivariate diagnostics for PLSR and application on high dimensional spectrally overlapped drug systems

ABSTRACT

Statistical methods are effectively used in the evaluation of pharmaceutical formulations instead of laborious liquid chromatography. However, signal overlapping, nonlinearity, multicollinearity and presence of outliers deteriorate the performance of statistical methods. The Partial Least Squares Regression (PLSR) is a very popular method in the quantification of high dimensional spectrally overlapped drug formulations. The SIMPLS is the mostly used PLSR algorithm, but it is highly sensitive to outliers that also effect the diagnostics. In this paper, we propose new robust multivariate diagnostics to identify outliers, influential observations and points causing non-normality for a PLSR model. We study performances of the proposed diagnostics on two everyday use highly overlapping drug systems: Paracetamol–Caffeine and Doxylamine Succinate–Pyridoxine Hydrochloride.     

Analysis of autoregressive models with symmetric stable innovations

This paper develops algorithms for fitting autoregressive models with symmetric stable innovations using auto-covariation function. A recursive algorithm is proposed for generalized Yule-Walker estimation of autoregressive coefficients and partial auto-covariation function. It also introduces a new information criterion, useful for consistent order selection. Applications of the proposed methods are illustrated using observations simulated from autoregressive models with symmetric stable innovations as well as by analysing a set of real data.     

均衡转换中的妥协与坚定--中国香港反腐败经验探析

中国香港反腐败历程中的局部特赦并非无原则的妥协，妥协并不能使施压方满意，反而引起反腐败信号的混乱与公众信心的动摇。从普遍腐败到高度廉洁的纳什均衡转换当中，当局展现的反腐败决心与发出的信号以及公众对反腐败的信心才是关键，坚定而不是妥协才是反腐败的应取之道。     

On characterizations of some bivariate continuous distributions by properties of higher-degree bivariate stop-loss transforms

Abstract

In this paper we study some characteristic properties of higher-degree bivariate stop-loss transforms (partial moments). A new bivariate distribution is proposed by extending the characterizing identity of univariate partial moments due to Lin (2003 Lin, G. D. 2003. Characterizations of the exponential distribution via the residual lifetime. Sankhyā: The Indian Journal of Statistics, Series A 65 (2):249–58. [Google Scholar]) to the bivariate case. A real-data analysis is also carried out to illustrate the theoretical results.     

Efficiency-consistency in designs

It is shown that if an interaction is estimated orthogonally to all other interactions in an equireplicate connected n-factor design, then the design is efficiency-consistent for this interaction.     

Preadoption Risks,Family Functioning,and Adoption Secrecy as Predictors of the Adjustment of Filipino Adopted Children

Using a correlational multivariate research design, partial least squares (PLS) was applied to examine the direct and indirect influence of pre-adoption risks, family functioning, and adoption secrecy on the adjustment (which is defined in this study as the internalizing and externalizing behaviors) of Filipino adopted children. Thirty-two sets of Filipino adoptees and their respective adoptive mothers participated in the study. Family functioning was found to predict the adjustment of Filipino adopted children while adoption secrecy predicted family functioning. Adopted children's perception of their family functioning and adoption openness buffer the impact of the early adversity experienced by the adopted children. Implications on the clinical practice and adoption practices in the Philippines are discussed.     

加速康复外科对腹腔镜肾部分切除术患者术后康复及生命质量的影响

2016年7月—2017年12月南京医科大学第一附属医院行腹腔镜肾部分切除术的肾癌患者,随机分成加速康复外科(enhanced recovery after surgery,ERAS)组与对照组?对比两组患者相关临床指标?住院天数?住院费用?术前与术后焦虑?抑郁程度?术后生命质量等指标?ERAS组患者术后恢复时间?住院费用?并发症发生率?术后焦虑程度低于对照组,患者满意度?术后躯体?角色?情绪功能及总健康状况高于对照组,差异有统计学意义?采用ERAS方案可有效改善腹腔镜肾部分切除患者的预后,提升患者的就医感受和术后生命质量,并具有一定经济优势?     

几种语言的WH部分移位特征推导

德语、波兰语等语言wh成分部分移位问句发生wh特征移位,其带有i[Q]和u[wh]*特征的标句中心词C与带有i[wh]和u[Q]特征的wh成分进行多重一致关系特征核查使后者处于低于句首辖域位置的Spec-CP位置.匈牙利语、阿尔巴尼亚语等语言wh成分部分移位问句进行焦点特征移位,其带有i[Q]和u[Fbc]*特征的焦点中心词F与带有i[Foc]和u[Q]特征的wh成分进行Foc特征一致关系核查并使后者前移置于CP之后的Spec-FP位置.     

一类混合单调算子方程解的存在性定理

利用锥理论和非对称迭代方法,讨论了不具有连续性和紧性条件的混合单调算子方程解的存在性,并给出了迭代序列收敛于解的误差估计,所得结果是某些已知结果的本质改进和推广.