Theorema Bayes

E Vicipaedia
Jump to navigation Jump to search
Lumen nei caeruleum formam simplicem theorematis Bayes monstrans

Theorema Bayes in theoria probabilitatum et statistica est theorema quod describit eventûs probabilitatem, fundatam in scientia priore condicionum quae cum hoc eventu coniunctae sint. Exempli gratia, si morbus cancer (morbus) cum aetate coniuncta sit, possumus ex aetate hominis probabilitatem illius eventûs, quod hic homo cancrum habeat, computare.

Una ex multis usibus theorematis Bayes est inferentia Bayesiana, genus inferentiae statisticae.

Notae[recensere | fontem recensere]


Bibliographia[recensere | fontem recensere]

  • Bruss, F. Thomas (2013), “250 years of ‘An Essay towards solving a Problem in the Doctrine of Chance. By the late Rev. Mr. Bayes, communicated by Mr. Price, in a letter to John Canton, A. M. F. R. S.’,” doidoi:10.1365/s13291-013-0077-z, Jahresbericht der Deutschen Mathematiker-Vereinigung, Springer Verlag, Vol. 115, Issue 3-4 (2013), 129-133.
  • Gelman, A, Carlin, JB, Stern, HS, and Rubin, DB (2003), “Bayesian Data Analysis,” Second Edition, CRC Press.
  • Grinstead, CM and Snell, JL (1997), “Introduction to Probability (2nd edition),” American Mathematical Society (free pdf available) [1].
  • Formula:Springer
  • McGrayne, SB (2011). The Theory That Would Not Die: How Bayes’ Rule Cracked the Enigma Code, Hunted Down Russian Submarines & Emerged Triumphant from Two Centuries of Controversy. Yale University Press. ISBN 978-0-300-18822-6 
  • Laplace, P (1774/1986), “Memoir on the Probability of the Causes of Events”, Statistical Science 1(3):364–378.
  • Lee, Peter M (2012), “Bayesian Statistics: An Introduction,” 4th edition. Wiley. Formula:ISBN978-1-118-33257-3.
  • "Bayes’ theorem". Nature Methods 12 (4): 277–8. 31 March 2015 
  • Rosenthal, Jeffrey S (2005), “Struck by Lightning: The Curious World of Probabilities.” HarperCollins. (Granta, 2008. Formula:ISBN9781862079960).
  • Stigler, SM (1986). "Laplace’s 1774 Memoir on Inverse Probability". Statistical Science 1 (3): 359–363 
  • Stone, JV (2013), download chapter 1 of “Bayes’ Rule: A Tutorial Introduction to Bayesian Analysis”, Sebtel Press, England.
  • Bayesian Reasoning for Intelligent People
  • Morris, Dan (2016), Read first 6 chapters for free of "Bayes' Theorem Examples: A Visual Introduction For Beginners" Blue Windmill Formula:ISBN978-1549761744.

Nexus externi[recensere | fontem recensere]