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非参数统计及相关主题文献目录AI 解读

This bibliography contains 999 references on nonparametric statistics and related topics, classified as follows: (A) Surveys and Discussions (39), (B) Theory (31), (C) Tchebycheff Inequalities (94), (D) Tolerance Sets (21), (E) Goodness of Fit (122), (F) Multisample Problems (53), (G) Parameter Problems (135), (H) Contingency Tables (75), (I) Randomness (109), (J) Correlation and Curve Fitting (96), (K) Comparative Studies (49), (L) Systematic Statistics (127), (M) Scaling…

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利用极差、交叉极差与极值比较小样本AI 解读

IN ORDER to simplify and reduce the arithmetical work involved in analyses of statistical quality control, attempts have been made to derive useful substitutes for the ordinary methods of comparing two samples. Among these, a mention may be made of the quotient of two ranges or two mean ranges as alternatives to the variance ratio in testing for homogeneity in variation. In a recent article [3] Paul R. Rider presents the distribution of the quotient of two sample ranges, the…

化学实验中的统计学AI 解读

* A review article on W. L. Gore's Statistical Methods for Chemical Experimentation, New York. Interscience Publishers, Inc., 1952, pp. vii, 210. $3.50

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化学实验中的统计学AI 解读

* A review article on W. L. Gore's Statistical Methods for Chemical Experimentation, New York. Interscience Publishers, Inc., 1952, pp. vii, 210. $3.50

由截断样本估计Ⅲ型总体的参数AI 解读

The problem considered is the estimation of the mean and variance of Type III populations from singly and doubly truncated samples with known truncation points when the number of unmeasured observations is (i) unknown for each tail, (ii) known separately for each tail, (iii) known jointly for the two tails. For singly truncated samples, estimation of all three parameters has also been considered. Estimating equations are obtained by the method of moments as well as by the…

不放回抽样下总体中特定特征人数的置信区间AI 解读

IN A number of different sampling situations, we encounter a problem which may be stated as follows: From a population of N objects, each of which possesses or does not possess a certain characteristic, we select without replacement a random sample of n objects. Observing that m of these possess the characteristic in question, we wish to estimate the total number M having the property. This problem arises in sample surveys of human populations and in sampling inspection of…

多组最小二乘问题及其相关正交多项式的意义AI 解读

A multiple group least squares’ problem is presented and solved which involves determination of certain coefficients separately for each of several samples with a final coefficient given a single optimum value for all samples grouped together. The computation of orthogonal polynomials implicit in the normal equations is discussed relative to the forward solution of these equations. Certain significant advantages of computing orthogonal predictors are pointed out. A numerical…

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桥牌中的概率AI 解读

In the game of bridge, the probability of a successful finesse, or a favorable “break” in a suit, depends not only upon the original deal, but also upon all the bids and plays which have been made by one's opponents. The widely quoted a priori probabilities, based solely upon the deal, are not generally correct, and are often misleading, after play has begun. This paper shows that the evaluation of probabilities during the course of play of bridge requires the use of the…

桥牌中的概率AI 解读

In the game of bridge, the probability of a successful finesse, or a favorable “break” in a suit, depends not only upon the original deal, but also upon all the bids and plays which have been made by one's opponents. The widely quoted a priori probabilities, based solely upon the deal, are not generally correct, and are often misleading, after play has begun. This paper shows that the evaluation of probabilities during the course of play of bridge requires the use of the…

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