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比率估计量的小样本结果AI 解读

The relative efficiencies of five estimators for a ratio and the stabilities of three variance estimators are evaluated under a particular model. Results are exact for any sample size.

不等概率抽样中估计量与方差估计量稳定性的经验研究：样本量为三或四AI 解读

Rao and Bayless [18] empirically investigated the stabilities of estimators of the population total and stabilities of their variance estimators for several methods of unequal probability sampling of two units (n =2) per stratum. In this article, after deriving the variances of variance estimators for general n for the following methods: (a) the I.P.P.S. (inclusion probabilities proportional to size) methods of Fellegi, Sampford and Carroll-Hartley, (b) Des Raj's and…

不等概率抽样中估计量及方差估计量的稳定性：样本量为3或4的经验研究AI 解读

Rao and Bayless [18] empirically investigated the stabilities of estimators of the population total and stabilities of their variance estimators for several methods of unequal probability sampling of two units (n =2) per stratum. In this article, after deriving the variances of variance estimators for general n for the following methods: (a) the I.P.P.S. (inclusion probabilities proportional to size) methods of Fellegi, Sampford and Carroll-Hartley, (b) Des Raj's and…

每层仅抽取一个单位时的方差估计AI 解读

A new solution to the problem of variance estimation with one unit per stratum is presented. This method may lead to smaller bias in variance estimation, in many situations, than the methods of ‘collapsed strata’. It requires that we can associate with the strata concomitant variables which are correlated with the strata means. Several numerical examples with one or two concomitant variables are considered.

每层抽取两单位时不等概率抽样估计量及方差估计量的稳定性AI 解读

Stabilities of estimators of the population total and stabilities of their variance estimators are compared for the following methods of sampling two units per stratum: (a) the I.P.P.S. (inclusion probabilities proportional to size) methods of Brewer, Fellegi and Hanurav using the Horvitz-Thompson estimator, (b) Des Raj's and Murthy's methods of p.p.s. sampling without replacement, (c) the Rao-Hartley-Cochran method, (d) Lahiri's method using a ratio estimator and (e) p.p.s.…

每层抽取两个单位时不等概率抽样估计量及方差估计量的稳定性研究AI 解读

Stabilities of estimators of the population total and stabilities of their variance estimators are compared for the following methods of sampling two units per stratum: (a) the I.P.P.S. (inclusion probabilities proportional to size) methods of Brewer, Fellegi and Hanurav using the Horvitz-Thompson estimator, (b) Des Raj's and Murthy's methods of p.p.s. sampling without replacement, (c) the Rao-Hartley-Cochran method, (d) Lahiri's method using a ratio estimator and (e) p.p.s.…

抽样框含未知重复时的无回答抽样理论AI 解读

Hansen and Hurwitz [3] have developed some non-response sampling theory, using the double sampling method. In this paper, this theory is extended to the case where there is an unknown amount of duplication in the available frame. The theory is developed from the context of a sample survey of beef cattle producers. The available frame was a list of names and addresses of beef cattle producers, whereas the unit of interest was a beef cattle producing operation which could be…

抽样调查的一种新估计理论AI 解读

A new estimation theory for sample surveys is proposed, the basic feature of which is a special parametrization of finite populations based on the assumptions that a character attached to the units is measured on a known scale with a finite set of scale points. In the class of estimators which do not functionally depend on the identification labels preattached to the units, the following results are proved: (1) For simple or stratified simple random sampling without…

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Mickey无偏比率估计量的精度AI 解读

The precision of Mickey's unbiased ratio estimator is investigated for two models. Comparisons with other ratio estimators are also made. Reasults for the second model are exact for any sample size.

混合方差分析模型的最大似然估计AI 解读

A procedure is developed for the maximum-likelihood estimation of the unknown constants and variances included in the general mixed analysis of variance model, involving fixed and random factors and interactions. The method applies to all cases where the design matrices satisfy certain conditions. The consistency and asymptotic efficiency of the estimates are discussed. Tests of hypotheses and confidence regions are derived.

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比率估计中两种偏差缩减方法的比较AI 解读

Quenouille's method of bias reduction, based on splitting the sample at random into groups, is applied to estimation of ratios and the optimum choice of the number of groups, g, is investigated assuming a model. It is shown that both the bias and variance of the estimator are decreasing functions of g. The estimator is compared with a modified ratio estimator assuming the same model.

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重复调查的轮换抽样设计AI 解读

A unified finite population theory is developed for composite estimators of both the current level and change in level between consecutive occasions when a rotation sample design is employed. Explicit variance functions are given under the assumption that exponential and arithmetic correlation patterns hold over time for the characteristics of interest. Optimum values of the weight coefficients in the composite estimators, the optimum number of consecutive visits by a…

三种不等概率不放回抽样程序AI 解读

In this paper we consider three well-known procedures of unequal probability sampling without replacement. Using an asymptotic approach, Hartley and Rao [3] have obtained compact expressions for variance and estimated variance for one of these procedures. Here we develop formulae for variance and estimated variance for the other two procedures, using their asymptotic approach. It is shown that for large and moderate size populations the three procedures have almost the same…

三种不等概率不放回抽样程序AI 解读

In this paper we consider three well-known procedures of unequal probability sampling without replacement. Using an asymptotic approach, Hartley and Rao [3] have obtained compact expressions for variance and estimated variance for one of these procedures. Here we develop formulae for variance and estimated variance for the other two procedures, using their asymptotic approach. It is shown that for large and moderate size populations the three procedures have almost the same…

关于均方逐次差分的札记AI 解读

This paper deals with the use of higher order mean square successive differences for estimating dispersion when a strong trend is present in the mean value and the method of first differences does not adequately eliminate the trend. The first four moments of the mean square successive second difference, δ22, are derived in samples from an arbitrary population with constant mean (or with linear trend in the means). Because the efficiency of δ22 relative to δ22 increases with…