A history of mathematical statistics from 1750 to 1930
A history of mathematical statistics from 1750 to 1930
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1750年至1930年数理统计史
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发表时间：
1998
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通讯作者：
A. Hald
中科院分区：
文献类型：
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作者：
A. Hald
直接概率为17501805。概率论中的一些结果和工具(伯努利、德·莫弗和拉普拉斯著)。算术平均值的分布，17561781。机遇还是设计：意义的检验。误差理论和估计方法。方程与数据的拟合，17501805。贝叶斯和拉普拉斯的逆概率，以及对后来的发展的评论。归纳与概率：哲学背景。《贝叶斯、普莱斯和随笔》，17641765。等概率、等可能性和逆概率。1774年拉普拉斯对逆概率原理的应用。拉普拉斯的逆概率通论。机会博弈的等概率模型和逆概率模型。拉普拉斯的渐近展开法，1781年和1785年。拉普拉斯对二项分布观测值的分析。拉普拉斯的统计预测理论。拉普拉斯对法国人口的抽样调查和比率估计的分布。正态分布、最小二乘法和中心极限定理。《高斯与拉普拉斯》，18091828。《中心极限定理的早期历史》，18101853。作为误差定律的正态分布的导数。高斯的线性正态模型和最小二乘法，1809和1811。拉普拉斯的大样本线性估计理论，18111827。高斯的线性无偏最小方差估计理论，18231828。估计理论选题18301930。《误差与估计理论》，18301890。S对多元中心极限定理的证明和他对拉普拉斯线性估计理论的辩护，1852年和1853年。柯西确定线性模型中包含的项数和估计参数的方法，18351853。正交化和多项式回归。社会科学和生物科学中的统计定律，泊松，奎特和高尔顿，18301890。正态下的抽样分布。费舍尔估计理论，19121935，及其直接前身。参考文献。索引。
DIRECT PROBABILITY 17501805. Some Results and Tools in Probability Theory (By Bernoulli, de Moivre, and Laplace). The Distribution of the Arithmetic Mean, 17561781. Chance or Design: Tests of Significance. Theory of Errors and Methods of Estimation. Fitting of Equations to Data, 17501805. INVERSE PROBABILITY BY BAYES AND LAPLACE, WITH COMMENTS ON LATER DEVELOPMENTS. Induction and Probability: The Philosophical Background. Bayes, Price, and the Essay, 17641765. Equiprobability, Equipossibility, and Inverse Probability. Laplace's Applications of the Principle of Inverse Probability in 1774. Laplace's General Theory of Inverse Probability. The Equiprobability Model and the Inverse Probability Model for Games of Chance. Laplace's Methods of Asymptotic Expansion, 1781 and 1785. Laplace's Analysis of Binomially Distributed Observations. Laplace's Theory of Statistical Prediction. Laplace's Sample Survey of the Population of France and the Distribution of the Ratio Estimator. THE NORMAL DISTRIBUTION, THE METHOD OF LEAST SQUARES, AND THE CENTRAL LIMIT THEOREM. GAUSS AND LAPLACE, 18091828. The Early History of the Central Limit Theorem, 18101853. Derivations of the Normal Distribution as a Law of Error. Gauss's Linear Normal Model and the Method of Least Squares, 1809 and 1811. Laplace's Large-Sample Theory of Linear Estimation, 18111827. Gauss's Theory of Linear Unbiased Minimum Variance Estimation, 18231828. SELECTED TOPICS IN ESTIMATION THEORY 18301930. On Error and Estimation Theory, 18301890. Bienaym?'s Proof of the Multivariate Central Limit Theorem and His Defense of Laplace's Theory of Linear Estimation, 1852 and 1853. Cauchy's Method for Determining the Number of Terms to be Included in the Linear Model and for Estimating the Parameters, 18351853. Orthogonalization and Polynomial Regression. Statistical Laws in the Social and Biological Sciences, Poisson, Quetelet, and Galton, 18301890. Sampling Distributions under Normality. Fisher's Theory of Estimation, 19121935, and His Immediate Precursors. References. Index.