The foundations of statistical science: A history of textbook presentations

The foundations of statistical science: A history of textbook presentations
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统计科学的基础:教科书介绍的历史

DOI:
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发表时间:
2021
影响因子:
1
通讯作者:
A. Agresti
A. Agresti
中科院分区:
数学4区
文献类型:
--
作者:
A. Agresti

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.我们讨论了统计科学的基础是如何在教科书中历史地呈现的,重点是在世纪的前半叶,该领域由于弗朗西斯高尔顿,卡尔皮尔逊和R. A.费希尔我们的主要重点是书籍,提出了理论基础的主题,往往被艾德为数理统计,主要集中在书籍撰写的G。Udny Yule,Maurice Kendall,Samuel Wilks,and Harald Cramér.本文还讨论了R. A.费希尔和乔治斯内德科向科学家们展示了如何实施这一理论。然后,我们调查了第二次世界大战后四分之一个世纪出版的教科书,因为统计学作为一门学术学科的知名度越来越高,许多大学都成立了统计系。我们还总结了贝叶斯统计的出现。在每一节中,我们描述了这些书在出版后不久是如何在评论中得到评价的。最后,我们通过布里布里讨论了最近的过去,现在和未来的教科书的基础上的统计科学,并包括评论这几个著名的统计学家。
. We discuss how the foundations of statistical science have been presented historically in textbooks, with focus on the first half of the twentieth century after the field had become better defined by advances due to Francis Galton, Karl Pearson, and R. A. Fisher. Our main emphasis is on books that presented the theory underlying the subject, often identified as mathematical statistics , with primary focus on books authored by G. Udny Yule, Maurice Kendall, Samuel Wilks, and Harald Cramér. We also discuss influential books on statistical methods by R. A. Fisher and George Snedecor that showed scientists how to implement the theory. We then survey textbooks published in the quarter century after World War 2, as Statistics gathered more visibility as an academic subject and Departments of Statistics were formed at many universities. We also summarize how Bayesian presentations of Statistics emerged. In each section, we describe how the books were evaluated in reviews shortly after their publications. We conclude by briefly discussing the recent past, the present, and the future of textbooks on the foundations of statistical science and include comments about this by several notable statisticians.