On the Estimation of the Mean with Random Number Of Observations. (Comments on a Paper by M. Singh and V. K. Gupta)

In this paper we study the problem of estimating the mean when the number of observations taken on each unit is a random variable. The estimator proposed by M. Singh and V. K. Gupta (1980) is discussed and modified. It is argued, however, that the arithmetic mean is a more appropriate choice of estimator.     

An Improved Class of Estimators for Finite Population Mean in Sample Surveys

This paper proposes a class of estimators for estimating the finite population mean -Y of a study variate y using information on two auxiliary variates, one of which is positively and the other negatively correlated with the study variate y. An “asymptotically optimum estimator” (AOE) in the class is identified with its bias and mean square error formulae. It is observed that the proposed AOE is more efficient than Srivastava (1965), Srivastava (1974), Prasad (1989) and Gandge , Varghese , and Prabhu-Ajgaonkar (1993) estimators.     

Estimating Mean Landmark Triangles

The paper deals with the statistical estimation of mean triangles of landmark data. For the model introduced by Bookstein (1986) three methods of estimating the “ideal” triangle are compared: the maximum likelihood method based on the exact distribution given in Mardia and Dryden (1989a), a moment method and an iterative algorithm yielding a mean triangle in the sense of Fréchet. These methods are compared by Monte Carlo simulation applied also to models with variances greater than those required for Bookstein's normal approximation.     

双套管水柱法监测家兔平均动脉压

目的探讨双套管水柱的构成,用双套管水柱法测定家兔的平均动脉压,观察静脉麻醉对家兔血压的影响。方法双套管水柱的组成和使用,并在局麻或全麻下,用双套管水柱法及RM6000多导生理记录仪有创连续监测家兔平均动脉压,用T检验分析两种方法所测数据。结果静脉麻醉后家兔的平均动脉压从术前（149.88±1.77）cmH2O（局麻清醒安静状态下）下降到（127.60±4.09）cmH2O,有显著差异（P〈0.05）。双套管水柱法及RM6000多导生理记录仪测得结果间无显著性差异（P〉0.05）。结论用双套管水柱法可准确地、动态地监测麻醉家兔平均动脉压。静脉麻醉对家兔血压有明显的影响。     

Testing the Mean Vector and the Correlation Coefficient in Life-Testing Under Bivariate Normality

In life-testing situations under bivariate normality of (X, U), a few smallest or a few largest Y-observations may not be available. Tests for μ = 0 (mean vector) and o = 0 (correlation coefficient) are developed from the available Y-observations and their concomitant X-observations. The robustness of these tests to departures from normality is investigated.     

A Sometimes-Pool Estimator of the Mean Life

The paper deals with the problem of estimating the mean life θ in an exponential model \documentclass{article}\pagestyle{empty}\begin{document}$f(x/\theta ) = \frac{1}{\theta }e - x/\theta$\end{document}. It is assumed that in addition to the current ordered sample, we have a sample collected sometime in the recent past when the mean life might have been β. We have proposed a Sometimes—Pool procedure which is based on the outcome of a preliminary test of H₀: θ=β and obtained the expressions of the bias and MSE. An attempt has been made to locate that region in the parameter space in which the proposed estimator does better (in MSE sense) than the usual estimator based only on the current sample.     

Improvement Over Transformed Auxiliary Variable in Estimating the Finite Population Mean

For estimating the finite population mean of the study variable y, we propose a ratio‐type estimator which gives an improvement over estimators given by Upadhyaya and Singh (1999), Sisodia and Dwivedi (1981), and Singh and Kakran (1993). These estimators are compared by observing the bias and mean square error (MSE). In this empirical study, the suggested estimator under the optimal condition is found to be more efficient than the estimators mentioned above.     

Mean time to resolution of gene duplication

The mean time to resolution of gene duplication (T_r) is studied in this paper under the double null recessive (DNR) and haplo-insufficient (HI) models within the same analytical and simulation framework. We show that when population size is not too small (more precisely Nμ > 0.1), T_r for unlinked duplication is usually larger than that for linked and T_r for unlinked duplication under the HI model might be greatly prolonged, which were consistent with previous observations. Furthermore, by analytical approach we here indicate the primary underlying mechanism is that the frequency of the original (or wild-type) chromosomal haplotype of the linked duplication decreases nearly exponential to zero with time while that of the unlinked decreases quickly to an quasi-equilibrium; and this phenomenon is particularly profound under the HI model, because the quasi-equilibrium frequency of the original chromosomal haplotype (x₀) under the HI model is higher than that under the DNR model. These results suggest that recombination and HI model might jointly contribute to the marked prolongation of T_r even in a modest population. The prolonged T_r and higher quasi-equilibrium frequency of the original allele at both duplicated loci might have offered more opportunities for the emergence of novel genes.     

Estimating the Population Mean Using Extreme Ranked Set Sampling

Precision of the estimate of the population mean using ranked set sample (RSS) relative to using simple random sample (SRS), with the same number of quantified units, depends upon the population and success in ranking. In practice, even ranking a sample of moderate size and observing the ith ranked unit (other than the extremes) is a difficult task. Therefore, in this paper we introduce a variety of extreme ranked set sample (ERSSs) to estimate the population mean. ERSSs is more practical than the ordinary ranked set sampling, since in case of even sample size we need to identify successfully only the first and/or the last ordered unit or in case of odd sample size the median unit. We show that ERSSs gives an unbiased estimate of the population mean in case of symmetric populations and it is more efficient than SRS, using the same number of quantified units. Example using real data is given. Also, parametric examples are given.     

Estimation of a Conditional Mean in a Linear Regression Model

Consider the two linear regression models of Y_ij on X_ij, namely Y_ij = β_io + β_il X_ij + ε_ij,j = 1,2,…,n_i, i = 1,2, where ε_ij are assumed to be normally distributed with zero mean and common unknown variance σ². The estimated value of a mean of Y₁ for a given value of X₁ is made to depend on a preliminary test of significance of the hypothesis β₁₁ = β₂₁. The bias and the mean square error of the estimator for the conditional mean of Y₁ are given. The relative efficiency of the estimator to the usual estimator is computed and is used to determine a proper choice of the significance level of the preliminary test.     

The Probability of a Negative Linear Combination of Independent Mean Squares

SATTERTHWAITE'S (1941) approximation of the distribution of a linear combination, of independent mean squares is a commonly used technique in the analysis of variance. Confidence intervals and test statistics based on this approximation require that be positive. In this article, the probability that will be negative is considered in situations in which the mean squares are associated with a general balanced mixed model. Expressions are given for exact and approximate values of this probability in terms of the expected values and degrees of freedom of the mean squares. An example is presented to illustrate the implementation of the proposed methodology.     

Bayesian Modeling of Joint Regressions for the Mean and Covariance Matrix

An important problem in agronomy is the study of longitudinal data on the growth curve of the weight of cattle through time, possibly taking into account the effect of other explanatory variables such as treatments and time. In this paper, a Bayesian approach for analysing longitudinal data is proposed. It takes into account regression structures on the mean and the variance‐covariance matrix of normal observations. The approach is based on the modeling strategy suggested by Pourahmadi (1999, Biometrika 86, 667–690). After revising this methodology, we present the Bayesian approach used to fit the models, based on a generalization of the Metropolis‐Hastings algorithm of Cepeda and Gamerman (2000, Brazilian Journal of Probability and Statistics, 14 , 207–221). The approach is used to the study of growth and development of a group of deaf children. The paper is concluded with a few proposed extensions. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

血小板平均体积与老年急性ST段抬高型心肌梗死患者并发心力衰竭的 相关性分析

目的:探讨血小板平均体积(MPV)与老年急性ST段抬高型心肌梗死(STEMI)患者住院期间并发心力衰竭(HF)的相关性。方法:收集我院收治的172例老年STEMI患者,按照住院期间是否发生HF分为HF组(n=55例)和非HF组(n=117例),以患者MPV四分位分四组,比较以上各组之间相关指标的差异,用Logistic回归方程分析MVP与患者HF发生的关系。结果:HF组与非HF组在吸烟、发病至入院时间、前壁梗死、血清B型脑钠肽(BNP)、肌钙蛋白I(c Tn I)、左室射血分数(LVEF)、MVP存在统计学差异(P0.05),HF组MVP水平高于非HF组(P0.05);MVP四分位分组之间的心功能指标LVEF和血清BNP、HF发生率存在统计学差异(P0.05),MVP的第四四分位组(Q4组)的HF发生率高于第一分位组及第二四分位组(Q1及Q2组);多因素Logistic回归方程分析显示高水平MPV是老年STEMI患者近期发生心力衰竭的独立危险因素(P0.05);MVP四分位分组中,从Q1组到Q4组发生HF的风险值(OR)依次增高,且Q3及Q4组的OR值具有统计学意义(P0.05)。结论:高水平MPV与老年STEMI患者住院期间HF发生密切相关,可能是其发生的独立危险因素,应当引起临床关注。     

地佐辛抑制依托咪酯所致肌阵挛时对心率和平均动脉压影响的临床研究

目的:观察地佐辛抑制依托咪酯所致肌阵挛时对患者的心率和平均动脉压的影响。方法:选择120例择期全麻手术患者,将其随机分为对照组和实验组(地佐辛0.1 mg/kg),每组60例。在依托咪酯麻醉诱导前,实验组患者静脉注射地佐辛,对照组静脉注射等容积生理盐水。5分钟后,两组均静脉注射依托咪酯0.3 mg/kg麻醉诱导,记录和比较两组患者在给予地佐辛和生理盐水前(T0期)、给予地佐辛和生理盐水后5分钟(T1期)、给予依托咪酯后2分钟(T2期)的平均动脉压和心率的变化情况,并观察其有无肌阵挛及肌阵挛的程度。结果:对照组患者肌震颤的发生率为60%,实验组无患者发生肌震颤,两组比较差异有统计学意义(P0.01)。两组患者T2期平均动脉压均较同T0、T1期显著下降,但对照组和实验组患者T2期平均动脉压比较无显著差异(P0.05)。对照组T0、T1和T2三期心率无明显变化(P0.05),实验组T2期心率较T0和T1期明显下降,亦明显低于对照组T2期心率,且差异均具有统计学意义(P0.05)。结论:应用地佐辛预处理抑制依托咪酯麻醉诱导所致肌阵挛时,其对患者的平均动脉压无明显影响,可使心率减慢,但心率处于正常范围内。     

侧脑室注射硫化氢对大鼠血压和呼吸的调节作用

目的 探讨中枢硫化氢（H2S）对正常大鼠平均动脉血压的调节及其机制.方法 将微量H2S饱和盐溶液一次性和连续注射入麻醉大鼠侧脑室（ICV）,观察注药后血压、心率和呼吸的变化.结果 ICV一次性注射不同剂量的H2S饱和盐溶液后可引起血压先急剧降低而后迅速升高,心率减慢,呼吸幅度增加和呼吸频率减慢,并存在显著的剂量和时间依赖关系.ICV连续注射H2S可显著升高血压,但对心率和呼吸没有影响.ICV注射一次性注射K＋-ATP通道开放剂Pinacidil可显著的降低血压,但心率和呼吸没有显著变化;ICV一次性注射K＋-ATP通道阻断剂glibenclamide对血压、心率和呼吸没有显著的影响;但预先ICV注射glibenclamide可阻断H2S的降低血压和减慢心率的作用,对呼吸没有影响.预先静脉注射酚妥拉明对血压没有明显的影响,却显著抑制ICV给予H2S产生的升高血压减慢心率效应.结论 本工作提示H2S是调节心血管活动的一个重要的中枢活性因子,其降低血压的效应是通过K＋-ATP通道和影响呼吸有关系,而升压效应是通过激活交感神经的活性.     

糖尿病患者的MPV、脂联素水平与冠心病的关系

目的:研究糖尿病(Diabetes Mellitus,DM)患者血小板体积(mean platelet volume,MPV)和血清脂联素水平与冠心病的关系。方法:选取研究对象共150例分为三组,其中101名糖尿病患者根据冠脉造影结果分为:A组(糖尿病合并冠心病组)共72人,B组(糖尿病非冠心病组)共29人。对照组为排除糖尿病且冠脉造影正常者共49人。入院次日检测空腹血常规(含MPV),应用ELISA法检测各组血清脂联素水平。应用Gensini评分系统评估冠状动脉的狭窄程度。结果:A组和B组的脂联素水平均低于对照组(P0.05),且A组脂联素水平低于B组(P0.05)。A组与B组MPV水平均高于对照组(P0.05),且A组MPV水平高于B组(P0.05)。相关性分析显示Gensini评分与脂联素水平负相关(r=-0.59,P0.001),Gensini评分与MPV正相关(r=0.56,P0.001)。结论:脂联素、MPV与糖尿病合并冠心病的发生显著相关,而脂联素可能通过拮抗糖尿病患者血小板活性程度,延缓心血管并发症的发生。     

Finite element modeling of the human kidney for probabilistic occupant models: Statistical shape analysis and mesh morphing

Statistical shape analysis was conducted on 15 pairs (left and right) of human kidneys. It was shown that the left and right kidney were significantly different in size and shape. In addition, several common modes of kidney variation were identified using statistical shape analysis. Semi-automatic mesh morphing techniques have been developed to efficiently create subject specific meshes from a template mesh with a similar geometry. Subject specific meshes as well as probabilistic kidney meshes were created from a template mesh. Mesh quality remained about the same as the template mesh while only taking a fraction of the time to create the mesh from scratch or morph with manually identified landmarks. This technique can help enhance the quality of information gathered from experimental testing with subject specific meshes as well as help to more efficiently predict injury by creating models with the mean shape as well as models at the extremes for each principal component.     

A Note on the Estimation of the Population Mean in Stratified Random Sampling Using Two Auxiliary Variables

In this paper, a two‐phase sampling estimator for a stratified population mean using two auxiliary variables x and z is considered when the stratum mean of x is unknown but that of z is known. The suggested estimator under its optimal condition is found to be more efficient than the one using only x.     

On the Estimation of Population Mean in Stratified Sampling

When stratified random sampling is used for the estimation of population mean, use of ‘Combined ratio estimator’ is well known. Some improved estimators for population mean are proposed which are better than ‘Combined ratio estimator’ and some other well known existing ones, from the point of view of bias and mean square error. An empirical illustration is given.