The foundations of statistical science: A history of textbook presentations

IF 0.6 4区 数学 Q4 STATISTICS & PROBABILITY
A. Agresti
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引用次数: 3

Abstract

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.
统计科学的基础:教科书演示的历史
我们将讨论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20世纪上半叶,由于弗朗西斯·高尔顿、卡尔·皮尔逊和r·a·费雪的进步,该领域得到了更好的定义。我们的主要重点是那些提出了这一主题的理论基础的书籍,通常被认为是数理统计,主要集中在由G. Udny Yule, Maurice Kendall, Samuel Wilks和Harald cramsamr撰写的书籍。我们还讨论了R. A. Fisher和George Snedecor关于统计方法的有影响力的书籍,这些书籍向科学家展示了如何实施该理论。然后,我们调查了二战后25年出版的教科书,当时统计学作为一门学术学科越来越受关注,许多大学都成立了统计学系。我们还总结了统计学的贝叶斯表示是如何出现的。在每个部分中,我们描述了这些书在出版后不久是如何在评论中进行评估的。最后,我们简要地讨论了统计科学基础教科书的过去、现在和未来,并包括几位著名统计学家对此的评论。
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来源期刊
CiteScore
1.60
自引率
10.00%
发文量
30
审稿时长
>12 weeks
期刊介绍: The Brazilian Journal of Probability and Statistics aims to publish high quality research papers in applied probability, applied statistics, computational statistics, mathematical statistics, probability theory and stochastic processes. More specifically, the following types of contributions will be considered: (i) Original articles dealing with methodological developments, comparison of competing techniques or their computational aspects. (ii) Original articles developing theoretical results. (iii) Articles that contain novel applications of existing methodologies to practical problems. For these papers the focus is in the importance and originality of the applied problem, as well as, applications of the best available methodologies to solve it. (iv) Survey articles containing a thorough coverage of topics of broad interest to probability and statistics. The journal will occasionally publish book reviews, invited papers and essays on the teaching of statistics.
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