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Topic: Thomas Bayes

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	Thomas Bayes Biography \| World of Mathematics
		Thomas Bayes, a Presbyterian minister, expressed a method of inductive inference in a precise and quantitative form, which lead to the development of Bayesian statistics, or Bayesian inference.
		Thomas' place of birth is usually listed as London, but one biographer suggests that he was born in Hertfordshire, where his peripatetic father supposedly preached at the time of his birth.
		Thomas Bayes' name appears in a 1719 catalogue of manuscripts in the Edinburgh University Library, and in a number of other records at the University over the period 1720-1722, including class lists and a list of theologues.
	www.bookrags.com /biography/thomas-bayes-wom (650 words)

	The world's top bayes theorem websites
		Bayes' theorem is a result in probability theory, which gives the conditional probability distribution of a random variable A given B in terms of the conditional probability distribution of variable B given A and the marginal probability distribution of A alone.
		Bayes worked on the problem of computing a distribution for the parameter of a binomial distribution (to use modern terminology); his work was edited and presented posthumously (1763) by his friend Richard Price, in An Essay towards solving a Problem in the Doctrine of Chances.
		Bayes' results were replicated and extended by Laplace in an essay of 1774, who apparently was not aware of Bayes' work.
	www.websbiggest.com /wiki-article-tab.cfm/bayes__theorem (1681 words)

	Thomas Bayes (Site not responding. Last check: 2007-10-20)
		Thomas Bayes-born 1702 in London- died 1761 in Tunbridge Wells, Kent- has been one of the greatest contributors to mathematics, most specifically the fields of probability and statistics.
		Bayes was born in London England, and was privately educated by his parents.
		Thomas Bayes wrote a number of different papers that discussed and described his work although there are only two that are known to be published: "Divine Providence and Government Is the Happiness of His Creatures" (1731) and "An Introduction to the Doctrine of Fluxions, and a Defence of the Analyst (1736).
	www.edu.pe.ca /kish/Grassroots/math/bayes.htm (318 words)

	Bayes biography
		Thomas Bayes' father, Joshua Bayes, was one of the first six Nonconformist ministers to be ordained in England.
		Thomas Bayes was ordained, a Nonconformist minister like his father, and at first assisted his father in Holborn.
		Bayes also wrote an article An Introduction to the Doctrine of Fluxions, and a Defence of the Mathematicians Against the Objections of the Author of The Analyst (1736) attacking Berkeley for his attack on the logical foundations of the calculus.
	www-groups.dcs.st-and.ac.uk /~history/Biographies/Bayes.html (1426 words)

	Thomas Bayes Biography
		Bayes was elected Fellow of the Royal Society in 1742.
		It is speculated that Bayes was elected to the Royal Society on the strength of the Introduction to the Doctrine of Fluxions, as he is not known to have published any other mathematical works during his lifetime.
		Bayes' solution to a problem of "inverse probability" was presented in the Essay Towards Solving a Problem in the Doctrine of Chances (1763), published posthumously by his friend Richard Price in the Philosophical Transactions of the Royal Society of London.
	www.biographybase.com /biography/Bayes_Thomas.html (585 words)

	Bayes
		Thomas was educated privately, something that appears necessary for the son of a Nonconformist minister at that time.
		Bayes was elected a Fellow of the Royal Society in 1742 despite the fact that at that time he had no published works on mathematics, indeed none were published in his lifetime under his own name, the article on fluxions referred to above was published anonymously.
		Thomas Bayes was elected to the Royal Society of London in 1742.
	members.tripod.com /sfabel/mathematik/database/Bayes.html (494 words)

	Bayesian logic - a definition from Whatis.com
		Named for Thomas Bayes, an English clergyman and mathematician, Bayesian logic is a branch of logic applied to decision making and inferential statistics that deals with probability inference: using the knowledge of prior events to predict future events.
		Bayes' theorem provided, for the first time, a mathematical method that could be used to calculate, given occurrences in prior trials, the likelihood of a target occurrence in future trials.
		Bayes' Theorem calculates the probability that all the balls in the basket are red, given that all the selections have been red as.5 (probabilities are expressed as numbers between 0.
	whatis.techtarget.com /definition/0,,sid9_gci548993,00.html (539 words)

	Thomas Bayes - Uncyclopedia
		Thomas Bayes (known by his friends as Naive Bayes) was a lover of strange meats from unidentifiable origins and animals.
		Bayes was a keen gymnast and would often be seen vaulting corpses in the sidestreets of west London.
		Rumour had it that Bayes was seen wandering around as a zombie months after the incident but that was clearly bollocks.
	uncyclopedia.org /wiki/Thomas_Bayes (465 words)

	Thomas Bayes Summary
		Thomas Bayes spent most of his career as a Presbyterian minister overseeing his flock at Tunbridge Wells, Kent, yet in his spare time, he produced a number of intriguing and influential mathematical papers.
		Bayes lived his life quietly, but in secret he recorded a number of fascinating observations, as demonstrated by a notebook of his that offers a model for an electrifying machine and other intriguing ideas.
		According to Price, Bayes wrote the paper in an effort to underscore what philosophers typically call the "argument from design": that is, the defense of God's existence on the basis of his creation and its intricacy.
	www.bookrags.com /Thomas_Bayes (1836 words)

	Untitled
		Thomas Bayes was born in 1702 in London, England.
		Even though Bayes was not highly recognized for his mathematical work during his life, he was elected a Fellow of the Royal Society in 1742.
		A specific contribution Thomas Bayes made to the fields of probability and statistics is known as Bayes Theorem.
	www.mrs.umn.edu /~sungurea/introstat/history/w98/Bayes.html (1052 words)

	Thomas Bayes - HighBeam Encyclopedia (Site not responding. Last check: 2007-10-20)
		Although he wrote on theology, e.g., Divine Benevolence (1731), Bayes is best known for his two mathematical works, Introduction to the Doctrine of Fluxions (1736), a defense of the logical foundations of Newton's calculus against the attack of Bishop Berkeley, and "Essay Towards Solving a Problem in the Doctrine of Chances" (1763).
		The latter, a pioneering work, attempts to establish that the rule for determining the probability of an event is the same whether or not anything is known antecedently to any trials or observations concerning the event.
		Empirical Bayes and item-clustering effects in a latent variable hierarchical model: a case study from the National Assessment of Educational Progress.(Statistical Data Included)
	www.encyclopedia.com /doc/1E1-bayes-t1h.html (322 words)

	Bayes (Site not responding. Last check: 2007-10-20)
		Bayes Theorem is commonly ascribed to the Reverent Thomas Bayes (1701-1761) who left one hundred pounds in his will to Richard Price ``now I suppose Preacher at Newington Green.'' Price discovered two unpublished essays among Bayes's papers which he forwarded to the Royal Society.
		Bayes theorem and, in particular, its emphasis on prior probabilities has caused considerable controversy.
		More recently, Bayes has emerged from academic controversy and been been applied to a range of practical problems such as detecting missing US Navy submarines and Microsoft's animated paperclip, which offers help to users of its Office software.
	www.stat.ucla.edu /~yuille/alan5.htm (384 words)

	Bayes' portrait
		It is likely that Bayes would have worn a wig similar to Doddridge's, which was going out of fashion in the 1740s, or a wig similar to Price's, which was coming into style at the same time.
		The second thing to note is that Bayes appears to be wearing a clerical gown like his father or a larger frock coat with a high collar.
		Thomas Bayes Cotton, son of Bayes Cotton and Sarah, his wife, and great grandson of the said Joshua and Ann Bayes (10).
	www.york.ac.uk /depts/maths/histstat/bayespic.htm (1591 words)

	THE REVEREND THOMAS BAYES - Access to Energy Newsletter Archive
		Bayes showed how to reverse the process and calculate probabilities a posteriori, or probabilities looking into the past: after an effect has already occurred, one can calculate the probabilities of the individual causes that must have been responsible for it.
		Although Bayes' Theorem is not mentioned in the draft, the idea is to compensate victims by "attributable risk," for of thousands of cancers only some are caused by radiation, and of these, only some are caused by fallout from the bomb tests.
		Since the probabilities of cancer incidence from radiation, and from radiation under various conditions, are known from statistical data, they can be reversed by Bayes' Theorem to yield the probability that a cancer, once it appears, was caused by the fallout.
	www.accesstoenergy.com /view/atearchive/s76a4647.htm (672 words)

	Old-school theory is a new force \| CNET News.com
		Thomas Bayes, one of the leading mathematical lights in computing today, differs from most of his colleagues: He has argued that the existence of God can be derived from equations.
		Bayes theorized that the probability of future events could be calculated by determining their earlier frequency.
		"Bayes said that essentially everything is uncertain, and you have different distributions on probability," said Ron Howard, a professor in the Department of Management Science and Engineering at Stanford.
	news.com.com /2009-1001-984695.html (2051 words)

	[No title]
		Bayes set out his theory of probability in an Essay towards solving a problem in the doctrine of chances published in the Philosophical Transactions of the Royal Society of London in 1764.
		Bayes was elected a Fellow of the Royal Society in 1742 despite the fact that at that time he had no published works on mathematics, indeed none were published in his lifetime under his own name.
		Bayes’ theorem is a fundamental principal of logic, which Bayes discovered in 1761.
	courses.dsu.edu /bus320/janke/fall2002/notes/chap4/bayes1.doc (617 words)

	Bayesian Statistics (Site not responding. Last check: 2007-10-20)
		It is thought that his election to the Royal Society might have been based on a tract of 1736 in which Bayes defended the views and philosophy of Sir Isaac Newton.
		Reverend Bayes' contributions are immortalized by naming a fundamental proposition in probability, called Bayes Rule, after him.
		Bayes is buried in Bunhill Fields in the heart of the City of London.
	www.bayesian.org /bayesian/bayes.html (618 words)

	Bayes Theorem (Site not responding. Last check: 2007-10-20)
		This principle was discovered in 1761 by the Englishman Thomas Bayes, and brought into its modern form shortly thereafter by the great French mathematician Pierre Simon de Laplace.
		Properly understood, the theorem is the fundamental mathematical law governing the process of logical inference—determining what degree of confidence we may have, in various possible conclusions, based on the body of evidence available.
		This is exactly the process of predictive reasoning; therefore, to arrive at a logically defensible prediction one must use Bayes’ theorem.
	www.bayes.com /theorem.html (101 words)

	Bayes' Rule
		Here is a simple introduction to Bayes' rule from an article in the Economist (9/30/00).
		For complicated probabilistic models, computing the normalizing constant P(e) is computationally intractable, either because there are an exponential number of (discrete) values of R to sum over, or because the integral over R cannot be solved in closed form (e.g., if R is a high-dimensional vector).
		Bayes nets (directed graphical models) are a natural way to represent many hierarchical Bayesian models.
	www.cs.ubc.ca /~murphyk/Bayes/bayesrule.html (1226 words)

	Bayes' Theorem: Introduction (Site not responding. Last check: 2007-10-20)
		Bayes' Theorem is a theorem of probability theory originally stated by the Reverend Thomas Bayes.
		It can be seen as a way of understanding how the probability that a theory is true is affected by a new piece of evidence.
		Many insights in the philosophy of science involving confirmation, falsification, the relation between science and pseudosience, and other topics can be made more precise, and sometimes extended or corrected, by using Bayes' Theorem.
	www.trinity.edu /cbrown/bayesWeb/index.html (451 words)

	Bayes Theorem
		It is named after Rev. Thomas Bayes, an 18th century mathematician who derived a special case of this theorem.
		Bayes' calculations [2] were published in 1763, two years after his death.
		Bayes, Rev. T., "An Essay Toward Solving a Problem in the Doctrine of Chances", Philos.
	balducci.math.ucalgary.ca /bayes-theorem.html (227 words)

	Bayesian probability - Wikipedia, the free encyclopedia
		Bayesian theory also suggests that Bayes' theorem can be used as a rule to infer or update the degree of belief in light of new information.
		Bayesian theory and Bayesian probability are named after Thomas Bayes (1702 — 1761), who proved a special case of what is now called Bayes' theorem.
		The term Bayesian, however, came into use only around 1950, and it is not clear that Bayes would have endorsed the very broad interpretation of probability that is associated with his name.
	en.wikipedia.org /wiki/Bayesian_probability (2130 words)

	No. 1876: Bayesian Statistics
		If the likelihood of your wife's picking a white dog is fifteen percent, and her friend's doing so is ninety percent, the odds that her friend chose it turn out to be eighty-five percent.
		Bayes' first book, written in 1731, was on Divine Benevolence.
		Not long afterward, Bayes was made a member of the Royal Society.
	www.uh.edu /engines/epi1876.htm (863 words)

	Thomas Bayes
		1702-April 7, 1761) was a British mathematician and Presbyterian minister, known for having formulated Bayes' theorem.
		His findings on probability were written in "Essay Towards Solving a Problem in the Doctrine of Chances" (1763), published posthumously in the Philosophical Transactions of the Royal Society of London.
		See also: Who was The Rev. Thomas Bayes?
	www.ebroadcast.com.au /lookup/encyclopedia/th/Thomas_Bayes.html (73 words)

	Tales of Statisticians \| Thomas Bayes
		Bayes is the most important statistician whose exact date of birth is unknown.
		It was in January of 1798 that I rose one morning before daylight, to walk ten miles in the mud to hear this celebrated person preach.
		Bayes communicated some of his own mathematical results to the Royal Society.
	www.umass.edu /wsp/statistics/tales/bayes.html (712 words)

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