推断统计学

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。

安德森鸢尾花卉数据集中变色鸢尾花萼片宽度数据的分布直方图

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

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延伸阅读

• 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

• 统计学
• 独立性检验

外部链接

• 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