推論統計學

推論統計學，或称统计推断（），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。

统计学中，统计推断与描述统计相对应。

统计推断的結果常用來決定下一步的作法，可能是要做更深入的試驗或問卷，或是是決定是否要實行某項方案。

 参考文献 

 .

 Cox, D. R. (2006). Principles of Statistical Inference, Cambridge University Press. .
 Fisher, R. A. (1955), "Statistical methods and scientific induction", Journal of the Royal Statistical Society, Series B, 17, 69—78. (criticism of statistical theories of Jerzy Neyman and 沃德·亚伯拉罕)

 Freedman, D. A. (2010). Statistical Models and Causal Inferences: A Dialogue with the Social Sciences (Edited by David Collier, Jasjeet S. Sekhon, and Philip B. Stark), Cambridge University Press.



   Reprinted as  
 Konishi S., Kitagawa G. (2008),  Information Criteria and Statistical Modeling, Springer.

 Le Cam, Lucian. (1986) Asymptotic Methods of Statistical Decision Theory, Springer. 
 Moore, D. S.; McCabe, G. P.; Craig, B. A. (2015), Introduction to the Practice of Statistics, Eighth Edition, Macmillan.
  (reply to Fisher 1955)
 Peirce, C. S. (1877–1878), "Illustrations of the logic of science" (series), Popular Science Monthly, vols. 12-13. Relevant individual papers:
 (1878 March), "The Doctrine of Chances", Popular Science Monthly, v. 12, March issue, pp. 604 –615.  Internet Archive Eprint.
 (1878 March), "The Doctrine of Chances", Popular Science Monthly, v. 12, March issue, pp. 604 –615.  Internet Archive Eprint.
 (1878 June), "The Order of Nature", Popular Science Monthly, v. 13, pp. 203 –217.Internet Archive Eprint.
 (1878 August), "Deduction, Induction, and Hypothesis", Popular Science Monthly, v. 13, pp. 470 –482. Internet Archive Eprint.
Peirce, C. S. (1883), "A Theory of probable inference", Studies in Logic, pp. 126-181 , Little, Brown, and Company. (Reprinted 1983, John Benjamins Publishing Company, )






 延伸阅读 

Casella, G., Berger, R.L. (2001). Statistical Inference. Duxbury Press. 

 Held L., Bové D.S. (2014). Applied Statistical Inference—Likelihood and Bayes (Springer).


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 

Young, G.A., Smith, R.L. (2005). Essentials of Statistical Inference, CUP. 

 相关条目 
 统计学
独立性检验

外部連結

 MIT OpenCourseWare : Statistical Inference
 NPTEL Statistical Inference , youtube link 
 Statistical induction and prediction

Category:统计学