Asymptotic normality of conditional density estimation under truncated,censored and dependent data

Abstract

In this paper, we focus on the left-truncated and right-censored model, and construct the local linear and Nadaraya-Watson type estimators of the conditional density. Under suitable conditions, we establish the asymptotic normality of the proposed estimators when the observations are assumed to be a stationary α-mixing sequence. Finite sample behavior of the estimators is investigated via simulations too.     

李Color代数的扭上圈

本文主要研究复数域上有限维李color代数的(α,β,γ)-导子,得到李color代数的(α,β,γ)-导子的一些重要性质.应用给定的复参数,推广李color代数上圈,并且得出了一类李color代数的1-上圈等价于其(α,β,γ)-导子.另外,对伴随表示的二维扭上圈也进行了详细的研究.     

名词中间结构与名词结构歧义

对名词结构歧义的生成研究是在一个完全脱离语境的情况下来看语言由于其本身的局限性——有限的句法和词汇和无限的表达之间的矛盾而产生的语言结构岐义。生成语法一直在谈论结构歧义，但很少涉及名词结构歧义研究，名词在其深层结构中可以被解释两种身份：名词和名词中闻结构。根据表层结构到深层结构的口一移动理论以及对名词中间结构的定义可以研究名词结构歧义的定义、检测方法及其生成机制，名词歧义有名词多义歧义即词汇歧义和名词结构歧义之分。名词结构歧义是同一名词在深层结构上具有两种身份，即名词和名词中间结构，而这两个深层结构在转向表层结构时会在特定的语境下产生歧义。名词结构歧义的生成机制是因为在深层结构中的名词在生成表层结构时产生了两个或两个以上的身份，产生两个或两个以上的解释，从而产生了名词结构歧义。     

2型糖尿病血糖水平与IL-6和TNF-α的相关性研究

目的探讨2型糖尿病（T2DM）血糖水平与IL-6和TNF-α相关性。方法采用酶联免疫分析法检测35例初诊T2DM患者27例血糖控制良好（HbA1c〈7%）T2DM患者及20例糖耐量正常的健康对照者的IL-6和TNF-α水平,同时监测空腹血糖（FPG）、胰岛素、C反应蛋白（CRP）水平及体重指数（BMI）等。结果初诊T2DM组血清胰岛素、各炎症因子及血糖水平均高于健康对照组（P〈0.01）,而血糖控制良好T2DM组TNF-α和IL-6浓度与健康对照组无差异。相关分析显示IL-6和TNF-α与性别、BMI和空腹胰岛素等均不相关,但与空腹血糖（r=0.38,P=0.03）呈显著正相关,与总胆固醇呈显著负相关（r=-0.19,P=0.04）。结论人类空腹血清IL-6和TNF-α水平在T2DM病人中明显升高,其与血糖浓度有关,与肥胖关系不明显。     

Genetic variants in 5p13.2 and 7q21.1 are associated with treatment for benign prostatic hyperplasia with the α-adrenergic receptor antagonist

Background: The etiology of benign prostatic hyperplasia (BPH) has not been well established. The preferred medical treatment for many men with symptomatic benign prostatic hyperplasia is either an α-adrenergic receptor antagonist (α-blocker), or a 5α-reductase inhibitor. Single nucleotide polymorphism (SNP) is a powerful tool for successful implementation of individualized treatment.

Methods: Eighteen SNPs associated with drug efficacy in a Chinese population were genotyped in 790 BPH cases (330 aggressive and 460 non-aggressive BPH cases) and 1008 controls. All BPH patients were treated with α-adrenergic blockers for at least 9 months. We tested the associations between tagging single nucleotide polymorphism and BPH risk/aggressiveness, clinical characteristics at baseline, including the International Prostate Symptom Score (IPSS) and total prostate volume, and changes in clinical characteristics after treatment.

Results: There were nine SNPs associated with BPH risk, clinical progression and therapeutic effect. (1) There were nine tSNPs been chosen in CYP3A4, CYP3A5 and RANBP3L genes. (2) The SNP, rs16902947 in RANBP3L at 5p13.2 (p?=?.01), was significantly associated with BPH. (3) We found two SNPs, rs16902947 in RANBP3L at 5p13.2 (p?=?.0388) and rs4646437 in CYP3A4 at 7q21.1 (p?=?.0325), associated with drug effect. (4) Allele “G” for rs16902947 was found to be risk alleles for BPH risk (OR=?2.357, 95%CI 1.01–1.48). The “A” allele of rs4646437 was associated with lower IPSS at baseline (β=??0.4232, p=?.03255).

Conclusions: rs16902947, rs16902947 and rs4646437 single nucleotide polymorphisms are significantly associated with the clinical characteristics of benign prostatic hyperplasia and the efficacy of benign prostatic hyperplasia treatment.     

Consistency of the Tikhonov’s regularization in an ill-posed problem with α-mixing random data

In this article, we establish exponential inequalities for the probability of the distance between the approximated solution and the exact one for an operator equation with an exact right-hand side. In addition, the second member of the operator equation is observed with α-mixing random errors. These inequalities yield the almost complete convergence of the approximate solution.     

Comparison of efficiencies of some symmetry tests around an unknown centre

In this paper, some recent and classical tests of symmetry are modified for the case of an unknown centre. The unknown centre is estimated with its α-trimmed mean estimator. The asymptotic behaviour of the new tests is explored. The local approximate Bahadur efficiency is used to compare the tests to each other as well as to some other tests.     

Strong consistency of non parametric kernel regression estimator for strong mixing samples

For α-mixing samples, we study Priestley–Chao kernel estimator for non parametric regression model. By using the moment inequality and the exponential inequality, the strong consistency and the uniformly strong consistency of the estimator are obtained for some weak conditions.