推論統計學

推論統計學，或称统计推断（英語：），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。

本文屬於
研究系列
一部放置於一堆檔案材料附近的手提電腦
学术领域
研究设计
哲学学派
研究策略
方法论
方法
工具与软件
  • 論證技術
  • 地理系统软件
  • 图书馆及信息科学软件
  • 科学软件
    • 定性數據分析
    • 科学模拟
    • 统计
哲学主题

参考文献
  • Bandyopadhyay, P. S.; Forster, M. R. (编), , Elsevier, 2011.
  • Bickel, Peter J.; Doksum, Kjell A. 1 Second (updated printing 2007). Prentice Hall. 2001. ISBN 0-13-850363-X. MR 0443141.
  • Cox, D. R. (2006). Principles of Statistical Inference, Cambridge University Press. ISBN 0-521-68567-2.
  • 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. revised. Cambridge University Press. 2009: xiv+442 pp. ISBN 978-0-521-74385-3. MR 2489600.
  • 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.
  • Hampel, Frank. (PDF) (Research Report No. 114). Feb 2003 [29 March 2016]. （原始内容存档 (PDF)于2017-05-10）.
  • Hansen, Mark H.; Yu, Bin. . Journal of the American Statistical Association. June 2001, 96 (454): 746–774. JSTOR 2670311. MR 1939352. doi:10.1198/016214501753168398. （原始内容存档于2004-11-16）.
  • Hinkelmann, Klaus; Kempthorne, Oscar. Second. Wiley. 2008. ISBN 978-0-471-72756-9.
  • Kolmogorov, Andrei N. . Sankhyā Ser. A. 1963, 25: 369–375. MR 0178484. Reprinted as Kolmogorov, Andrei N. . Theoretical Computer Science. 1998, 207 (2): 387–395. MR 1643414. doi:10.1016/S0304-3975(98)00075-9.
  • Konishi S., Kitagawa G. (2008), Information Criteria and Statistical Modeling, Springer.
  • Kruskal, William. . Journal of the American Statistical Association. December 1988, 83 (404): 929–940. JSTOR 2290117. doi:10.2307/2290117.
  • Le Cam, Lucian. (1986) Asymptotic Methods of Statistical Decision Theory, Springer. ISBN 0-387-96307-3
  • Moore, D. S.; McCabe, G. P.; Craig, B. A. (2015), Introduction to the Practice of Statistics, Eighth Edition, Macmillan.
  • Neyman, Jerzy. . Journal of the Royal Statistical Society, Series B. 1956, 18 (2): 288–294. JSTOR 2983716. (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 （页面存档备份，存于）–615. Internet Archive Eprint.
    • (1878 March), "The Doctrine of Chances", Popular Science Monthly, v. 12, March issue, pp. 604 （页面存档备份，存于）–615. Internet Archive Eprint.
    • (1878 June), "The Order of Nature", Popular Science Monthly, v. 13, pp. 203 （页面存档备份，存于）–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）–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）, Little, Brown, and Company. (Reprinted 1983, John Benjamins Publishing Company, ISBN 90-272-3271-7)
  • Pfanzagl, Johann; with the assistance of R. Hamböker. . Berlin: Walter de Gruyter. 1994. ISBN 3-11-013863-8. MR 1291393.
  • Rissanen, Jorma. . Series in Computer Science 15. Singapore: World Scientific. 1989. ISBN 9971-5-0859-1. MR 1082556.
  • Soofi, Ehsan S. . Journal of the American Statistical Association. December 2000, 95 (452): 1349–1353. JSTOR 2669786. MR 1825292. doi:10.1080/01621459.2000.10474346.
  • Traub, Joseph F.; Wasilkowski, G. W.; Wozniakowski, H. . Academic Press. 1988. ISBN 0-12-697545-0.
  • Zabell, S. L. . Statistical Science. Aug 1992, 7 (3): 369–387. JSTOR 2246073. doi:10.1214/ss/1177011233.

延伸阅读
  • Casella, G., Berger, R.L. (2001). Statistical Inference. Duxbury Press. ISBN 0-534-24312-6
  • Freedman, D.A. . 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. (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. . 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）
  • Reid, N.; Cox, D. R. . 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

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