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多元回归增删变量的Cochran公式推广AI 解读

By using Schweinsian expansion of determinant quotients, a concise derivation of Cochran's formulae for addition or omission of a variate in Multiple Regression Analysis is given. The formulae are extended to the case when two variates are simultaneously added or omitted. The addition or omission of more than two variates follows on similar lines. Schweinsian expansion has been earlier used by Cox [3] to derive the general orthogonal polynomials.

截断二元正态分布的参数估计AI 解读

Estimates of parameters of a singly truncated bivariate normal distribution have been directly obtained using eight (or nine) moments. Asymptotic variances and covariances of these estimates are given and they are compared with those of maximum likelihood estimates.

满足线性约束的一组时间序列的分析方法AI 解读

Techniques are presented for decomposing each series in a set of time series into trend, seasonal, and non-seasonal, short-run components. The decomposition is such that if the original set of series satisfy a linear condition, the set of components of each type satisfy the same linear condition. This makes it possible to assess the contributions of different industries, commodities, etc., to different types of movements of weighted or unweighted aggregates. Additional…

在两种医疗方案中进行选择的模型AI 解读

A simple cost function approach is proposed for designing an optimal clinical trial when a total of N patients with a disease are to be treated with one of two medical treatments. The cost function is constructed with but one cost, the consequences of treating a patient with the superior or inferior of the two treatments. Fixed sample size and sequential trials are considered. Minimax, maximin, and Bayesian approaches are used for determining the optimal size of a fixed…

交叉分类关联度量（三）：近似抽样理论AI 解读

The population measures of association for cross classifications, discussed in the authors' prior publications, have sample analogues that are approximately normally distributed for large samples. (Some qualifications and restrictions are necessary.) These large sample normal distributions with their associated standard errors, are derived for various measures of association and various methods of sampling. It is explained how the large sample normality may be used to test…

三角分布总体的抽样AI 解读

The distributions of midrange, half-range, median and geometric mean of samples from a triangular population are derived. Mean, median, and midrange are compared as to their efficiency in estimating the single parameter of the population, which is the upper end of the range of the distribution. The best estimator of the parameter, however, is based on the maximum value in the sample, since it is derived from the likelihood function and is a sufficient statistic.

调查数据分析中的问题与一种方法建议AI 解读

Most of the problems of analyzing survey data have been reasonably well handled, except those revolving around the existence of interaction effects. Indeed, increased efficiency in handling multivariate analyses even with non-numerical variables, has been achieved largely by assuming additivity. An approach to survey data is proposed which imposes no restrictions on interaction effects, focuses on Importance in reducing predictive error, operates sequentially, and is…

回归分析中不完全先验信息的使用AI 解读

This article deals with the use of prior beliefs in the estimation of regression coefficients; in particular, it considers the problems that arise when the residual variance of the regression equation is unknown and it offers a large-sample solution. Additional contributions deal with testing the hypothesis that prior and sample information are compatible with each other; and with a scalar measure for the shares of these two kinds of information in the posterior precision.

作者归属问题中的统计推断AI 解读

This study has four purposes: to provide a comparison of discrimination methods; to explore the problems presented by techniques based strongly on Bayes' theorem when they are used in a data analysis of large scale; to solve the authorship question of The Federalist papers; and to propose routine methods for solving other authorship problems. Word counts are the variables used for discrimination. Since the topic written about heavily influences the rate with which a word is…

摘要暂缺

两类典型过度识别情形中 GCL 估计量精确分布的注记AI 解读

Basmann [3] has recently given the exact sampling distributions of the generalized classical linear (GCL) estimators of the parameters of a system of two simultaneous structural equations. In view of the importance of the GCL estimators in econometric statistics, a less intricate derivation by using formulae that might be more widely known to statisticians and econometricians, might be useful.

单侧截断二元正态分布的参数估计AI 解读

Estimates of parameters of a singly truncated bivariate normal distribution have been directly obtained using eight (or nine) moments. Asymptotic variances and covariances of these estimates are given and they are compared with those of maximum likelihood estimates.

受线性约束的一组时间序列的分析方法AI 解读

Techniques are presented for decomposing each series in a set of time series into trend, seasonal, and non-seasonal, short-run components. The decomposition is such that if the original set of series satisfy a linear condition, the set of components of each type satisfy the same linear condition. This makes it possible to assess the contributions of different industries, commodities, etc., to different types of movements of weighted or unweighted aggregates. Additional…

三角分布总体的抽样与估计AI 解读

The distributions of midrange, half-range, median and geometric mean of samples from a triangular population are derived. Mean, median, and midrange are compared as to their efficiency in estimating the single parameter of the population, which is the upper end of the range of the distribution. The best estimator of the parameter, however, is based on the maximum value in the sample, since it is derived from the likelihood function and is a sufficient statistic.

摘要暂缺

多元回归中增删变量的Cochran公式扩展AI 解读

By using Schweinsian expansion of determinant quotients, a concise derivation of Cochran's formulae for addition or omission of a variate in Multiple Regression Analysis is given. The formulae are extended to the case when two variates are simultaneously added or omitted. The addition or omission of more than two variates follows on similar lines. Schweinsian expansion has been earlier used by Cox [3] to derive the general orthogonal polynomials.

摘要暂缺

非中心t分布的若干百分位点AI 解读

Percentage points x such that P {t/√f > x} = ∈ where t has the non-central t-distribution with f degree of freedom and non-centrality parameter √f+1Kp (Kp is the standard normal deviate exceeded with probability p) are tabulated for ∈ = .975, .025; p = .2500, .1500, .1000, .0650, .0400, .0250, .0100, .0040, .0025, .0010; f = 2 (1) 24 (5) 49. This supplements the tables on pp. 383–9 of Resnikoff, George J., and Lieberman, Gerald J., Tables of the Non-Central t-Distribution,…

利用最小次序对比平方估计误差方差AI 解读

Tables are given to facilitate the maximum likelihood estimation of error variance using the M smallest squares of K single degree of freedom contrasts. Some statistical properties of the estimate based on a random sampling experiment are given.

相关样本的齐性检验AI 解读

This paper presents techniques for testing various hypotheses related to the notion of temporal homogeneity of a population each of whose members can belong to any one of S states at any time. These hypotheses include Cochran's interchangeability hypothesis, the hypothesis of strict exchange, the usual homogeneity hypothesis for multinomial distributions in the presence of correlated samples, and the hypothesis that a first order Markov chain is in a steady state.

马克·吐温与斯诺德格拉斯书信：作者身份的统计检验AI 解读

Mark Twain is widely credited with the authorship of 10 letters published in 1861 in the New Orleans Daily Crescent. The adventures described in these letters, which were signed “Quintus Curtius Snodgrass,” provide the historical basis of a main part of Twain's presumed role in the Civil War. This study applies an old, though little used statistical test of authorship—a word-length frequency test—to show that Twain almost certainly did not write these 10 letters. The…

摘要暂缺

次序统计量的不相关线性函数AI 解读

In this paper the correlation between the mean and certain linear functions of Order Statistics are obtained for samples from any population and the results for the symmetrical population are derived therefrom. The results obtained in this paper answer in part a question raised by Ostle and Steck in their 1959 paper [2].

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…