随机右截尾情形下两个Cox模型的参数估计

研究了随机右截尾情形下两个单参数Cox模型的参数估计.在两个Cox模型的参数都未知时,得到了两个Cox模型的参数的具有强相合性的最大似然估计与参数比的区间估计.     

改进的随机化回答模型的贝叶斯方法

文章介绍了一种改进的敏感性问题随机化回答模型,并把贝叶斯方法用于该模型的参数估计,最后得出了参数的近似解。     

随机右截尾情形下一种生存模型估计的强相合性证明

文章在随机右截尾样本下,研究了这种生存模型的最大似然估计,证明了参数的最大似然估计的强相合性。     

随机右截尾保险寿命数据的非参数回归估计

文章分别运用bagged最近邻估计与kn-最近邻估计的非参数回归方法对随机右截尾假定下的保险寿命数据进行估计,分析了两种估计的收敛速度,并对两种估计的估计精度通过随机模拟方法进行比较,结果显示bagged最近邻估计优于kn-最近邻估计。     

敏感性问题回答模型研究

运用随机化模型对社会敏感性问题进行调查越来越受到人们重视。本文尝试先对几个在实际中常用的模型进行分析，并在此基础上提出新的改进模型。     

基于随机右截尾样本的指数分布的环境因子估计

文章研究了随机右截尾情形下指数分布的环境因子的参数估计,在两环境下样本容量相同的条件下,得到了指数分布的环境因子的最大似然估计与区间估计.     

数量特征敏感性问题调查的两个随机化回答模型

文章研究数量特征敏感性问题的抽样调查,设计了基于离散均匀分布和均匀分布的两个随机化回答模型.     

基于双无关问题的敏感性问题随机化回答模型

研究数量特征敏感性问题的抽样调查,设计了双无关问题双样本随机化回答模型,给出了总体均值的无偏估计、估计量的方差,并得出新的模型具有较好的精度。     

基于随机化回答模型的最低工资敏感性问题研究

针对最低工资调查中出现的敏感性问题,引入随机化回答技术,并针对定性和定量两类敏感性问题,分别引入不同的随机化回答模型。同时还考虑到最低工资调查中,不同调查单位对同一问题敏感程度不相同的特性,在定量问题的随机化回答模型中引入敏感性水平,对原有模型进行有效的改进,使被调查者能够更加积极配合最低工资调查,从而能够进一步减少由于各类敏感性问题造成的非抽样误差。这套随机化处理方法还可推广应用到其他类型的敏感性问题中。     

随机截尾试验下癌症患者的寿命 分布模型的研究 ————-基于福建省某医院从2003年-2007年肿瘤患者的调查

 本文基于福建省某医院从2003年-2007年肿瘤患者的调查,按住院人数统计,对顺位前三类癌症,其患者的寿命分布模型进行了研究。研究发现：（1）40-50岁是女性子宫肿瘤发病的高峰期,并且有逐年增长的趋势。（2）剔除女性患子宫肿瘤人数的影响,肿瘤发病的高峰期转移到60-70岁这个年龄段, 表现出其它肿瘤多发于老年人,而且恶性肿瘤肺癌、胃癌、肝癌患者人数尤为突出。(3)肺癌、胃癌、肝癌患者的寿命分布属同一分布族,并且均能通过随机截尾数据下的H-P检验。     

Violation of respondent's privacy in moors* model- its rectification through a random group strategy

The primary objective of the randomized response techniques introduced by Warner (1965) and Greenberg et al. (1969) was to protect the privacy of the respondents while eliciting information on sensitive issues. However, Moors' (1971) model, which is considered to be the best in the sense of optimality and convenience to use, fails to protect the privacy of respondents in certain cases. The present paper aims at pointing out this serious draw back. An alternative model termed as 'random group method ' is proposed. The proposed model is free from the above mentioned drawback and provides more efficient estimator as compared to the usual Greenberg at al. 's (1969) model.     

数量特征敏感问题问卷设计

目前,数量特征敏感问题调查主要采用随机化策略,该策略需使用随机化装置,从而需要在现场实施。提出一种问卷设计技术,该技术用无关问题替代随机化装置,因而不需要调查者亲临现场,不受调查规模及调查单位聚散的限制,使得调查更加方便、实用、经济。给出了相应的无偏估计量,推算出估计量的方差和方差的估计量并举例说明。     

A two-stage Land et al.'s randomized response model for estimating a rare sensitive attribute using Poisson distribution

The crux of this paper is to estimate the mean of the number of persons possessing a rare sensitive attribute based on the Mangat (1992 Mangat, N.S. (1992). Two stage reandomized response sampling procedure using unrelated question. J. Ind. Soc. Agric. Stat. 44(1):82–87. [Google Scholar]) randomization device by utilizing the Poisson distribution in survey sampling. It is shown that the proposed model is more efficient than Land et al. (2011 Land, M., Singh, S., Sedory, S.A. (2011). Estimation of a rare attribute using Poisson distribution. Statistics doi:10.1080/02331888.2010.524300[Taylor &; Francis Online], [Web of Science ®] , [Google Scholar]) when the proportion of persons possessing a rare unrelated attribute is known. Properties of the proposed randomized response model have been studied along with recommendations. We have also extended the proposed model to stratified random sampling on the lines of Lee et al. (2013 Lee, G.S., Uhm, D., Kim, J.M. (2013). Estimation of a rare sensitive attribute in stratified sampling using Poisson distribution. Statistics 47(3):575–589.[Taylor &; Francis Online], [Web of Science ®] , [Google Scholar]). It has been also shown that the proposed estimator is better than Lee et al.'s (2013 Lee, G.S., Uhm, D., Kim, J.M. (2013). Estimation of a rare sensitive attribute in stratified sampling using Poisson distribution. Statistics 47(3):575–589.[Taylor &; Francis Online], [Web of Science ®] , [Google Scholar]) estimator. Numerical illustrations are also given in support of the present study.     

A Two-stage Binary Optional Randomized Response Model

Social desirability bias (SDB) is the tendency in respondents to answer questions untruthfully in the hope of giving good impression to others. SDB occurs when the survey question is highly sensitive or personal. The Randomized Response Technique (RRT) is one of several methods to get around SDB in face-to-face interview surveys involving sensitive questions. In this article, we first review some of the existing binary response RRT models. Then, we propose a new model—Two-Stage Binary Optional RRT model. Much of the focus is on estimating π, the prevalence of sensitive characteristic, and ω, the sensitivity level of the underlying question. We discuss the asymptotic properties of our estimators and present some simulation results. It turns out that the proposed Two-Stage Binary Optional RRT model is more effective than the Optional RRT model proposed by Gupta (2001).     

Promotion Time Cure Rate Model with Bivariate Random Effects

In this article, we consider the inclusion of random effects in both the survival function for at-risk subjects and the cure probability assuming a bivariate normal distribution for those effects in each cluster. For parameter estimation, we implemented the restricted maximum likelihood (REML) approach. We consider Weibull and Piecewise Exponential distributions to model the survival function for non-cured individuals. Simulation studies are performed, and based on a real database we evaluate the performance of our proposed model. Effect of different follow-up times and the effect of considering independent random effects instead of bivariate random effects are also studied.     

Bayes Factor Consistency for One-way Random Effects Model

In this article, we consider Bayesian hypothesis testing for the balanced one-way random effects model. A special choice of the prior formulation for the ratio of variance components is shown to yield an explicit closed-form Bayes factor without integral representation. Furthermore, we study the consistency issue of the resulting Bayes factor under three asymptotic scenarios: either the number of units goes to infinity, the number of observations per unit goes to infinity, or both go to infinity. Finally, the behavior of the proposed approach is illustrated by simulation studies.     

An improved randomized response model: estimation of mean

In this paper, we suggest a new randomized response model useful for collecting information on quantitative sensitive variables such as drug use and income. The resultant estimator has been found to be better than the usual additive randomized response model. An interesting feature of the proposed model is that it is free from the known parameters of the scrambling variable unlike the additive model due to Himmelfarb and Edgell [S. Himmelfarb and S.E. Edgell, Additive constant model: a randomized response technique for eliminating evasiveness to quantitative response questions, Psychol. Bull. 87(1980), 525–530]. Relative efficiency of the proposed model has also been studied with the corresponding competitors. At the end, an application of the proposed model has been discussed.     

Maximum likelihood estimation of sensitive proportion using repeated randomized response techniques

Randomized response techniques are designed to obtain usable data on sensitive issues while protecting the privacy of individuals. In this paper, based on repeating the randomized response technique, a new technique called repeated randomized response is introduced to increase the protection of privacy and efficiency of estimator for proportion of sensitive attribute. By using this technique, the proportion of academic cheating is estimated among students of Shahid Chamran University of Ahvaz, Ahvaz, Iran.     

The Use of Balanced Incomplete Block Designs in Designing Randomized Response Surveys

This paper investigates the block total response method proposed by Raghavarao and Federer for providing accurate estimates of the base rates of sensitive characteristics during surveys. It determines the best balanced incomplete block design to use to estimate the base rates for three, four, five and six sensitive attributes respectively, given a maximum total number of 13 questions. The estimates obtained from this method have smaller variance than estimates obtained using the similar, but more popular, unmatched count technique.