推断统计学
統計學名詞
(重定向自统计推断)
推断统计学,或称统计推断(英语:Statistical inference),指统计学中,研究如何根据样本数据去推断总体数量特征的方法。它是在对样本数据进行描述的基础上,对统计总体的未知数量特征做出以概率形式表述的推断。更概括地说,是在一段有限的时间内,通过对一个随机过程的观察来进行推断的。
![](http://upload.wikimedia.org/wikipedia/commons/thumb/4/40/Fisher_iris_versicolor_sepalwidth.svg/250px-Fisher_iris_versicolor_sepalwidth.svg.png)
统计学中,统计推断与描述统计相对应。
统计推断的结果常用来决定下一步的作法,可能是要做更深入的试验或问卷,或是是决定是否要实行某项方案。
参考文献
编辑- Bandyopadhyay, P. S.; Forster, M. R. (编), Philosophy of Statistics, Elsevier, 2011.
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- (1878 March), "The Doctrine of Chances", Popular Science Monthly, v. 12, March issue, pp. 604 (页面存档备份,存于互联网档案馆)–615. Internet Archive Eprint.
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- (1878 June), "The Order of Nature", Popular Science Monthly, v. 13, pp. 203 (页面存档备份,存于互联网档案馆)–217.Internet Archive Eprint.
- (1878 August), "Deduction, Induction, and Hypothesis", Popular Science Monthly, v. 13, pp. 470 (页面存档备份,存于互联网档案馆)–482. Internet Archive Eprint.
- Peirce, C. S. (1883), "A Theory of probable inference", Studies in Logic, pp. 126-181 (页面存档备份,存于互联网档案馆), Little, Brown, and Company. (Reprinted 1983, John Benjamins Publishing Company, ISBN 90-272-3271-7)
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延伸阅读
编辑- Casella, G., Berger, R.L. (2001). Statistical Inference. Duxbury Press. ISBN 0-534-24312-6
- Freedman, D.A. Statistical models and shoe leather. Sociological Methodology. 1991, 21: 291–313. JSTOR 270939. doi:10.2307/270939.
- Held L., Bové D.S. (2014). Applied Statistical Inference—Likelihood and Bayes (Springer).
- Lenhard, Johannes. Models and Statistical Inference: the controversy between Fisher and Neyman–Pearson (PDF). British Journal for the Philosophy of Science. 2006, 57: 69–91 [2018-12-29]. doi:10.1093/bjps/axi152. (原始内容存档 (PDF)于2021-03-03).
- Lindley, D. Fiducial distribution and Bayes' theorem. Journal of the Royal Statistical Society, Series B. 1958, 20: 102–7.
- Rahlf, Thomas (2014). "Statistical Inference", in Claude Diebolt, and Michael Haupert (eds.), "Handbook of Cliometrics ( Springer Reference Series)", Berlin/Heidelberg: Springer. http://www.springerreference.com/docs/html/chapterdbid/372458.html (页面存档备份,存于互联网档案馆)
- Reid, N.; Cox, D. R. On Some Principles of Statistical Inference. International Statistical Review. 2014, 83 (2): n/a. doi:10.1111/insr.12067.
- Young, G.A., Smith, R.L. (2005). Essentials of Statistical Inference, CUP. ISBN 0-521-83971-8
相关条目
编辑外部链接
编辑- MIT OpenCourseWare (页面存档备份,存于互联网档案馆): Statistical Inference
- NPTEL Statistical Inference (页面存档备份,存于互联网档案馆), youtube link (页面存档备份,存于互联网档案馆)
- Statistical induction and prediction