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	Thomas Bayes - Wikipedia, the free encyclopedia
		It is speculated that Bayes was elected as a Fellow of the Royal Society in 1742 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 (1764), published posthumously by his friend Richard Price in the Philosophical Transactions of the Royal Society of London.
		Thus it can be argued, as Stigler does, that Bayes intended his results in a rather more limited way than modern Bayesians; given Bayes' definition of probability, his result concerning the parameter of a binomial distribution makes sense only to the extent that one can bet on its observable consequences.
	en.wikipedia.org /wiki/Thomas_Bayes (660 words)

	An Intuitive Explanation of Bayesian Reasoning
		Thomas Bayes was raised a Nonconformist and was soon promoted into the higher ranks of the Nonconformist theosophers, whence comes the "Reverend" in his name.
		In 1742 Bayes was elected a Fellow of the Royal Society of London, the most prestigious scientific body of its day, despite Bayes having published no scientific or mathematical works at that time.
		Bayes' Theorem shows that falsification is very strong evidence compared to confirmation, but falsification is still probabilistic in nature; it is not governed by fundamentally different rules from confirmation, as Popper argued.
	yudkowsky.net /bayes/bayes.html (13212 words)

	Bayes (Site not responding. Last check: 2007-11-03)
		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 Price discovered two unpublished essays among Bayes's papers which he forwarded to the Royal Society.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)

	Thomas Bayes Biography \| World of Mathematics
		In this paper, Bayes discusses the estimation of future occurrences of an event, given knowledge of the history of the event--that it has occurred a number of times and failed a number of times.
		Bayes was the eldest of six children of Joshua and Ann Carpenter Bayes.
		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 (658 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)

	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)

	Bayes theorem definition - Medical Dictionary definitions of popular medical terms
		Bayes' theorem is employed in clinical epidemiology to determine the probability of a particular disease in a group of people with a specific characteristic on the basis of the overall rate of that disease and of the likelihood of that specific characteristic in healthy and diseased individuals, respectively.
		A common application of Bayes' theorem is in clinical decision making where it is used to estimate the probability of a particular diagnosis given the appearance of specific signs, symptoms, or test outcomes.
		In technical terms, in Bayes' theorem the impact of new data on the merit of competing scientific hypotheses is compared by computing for each hypothesis the product of the antecedent plausibility and the likelihood of the current data given that particular hypothesis and rescaling them so that their total is unity.
	www.medterms.com /script/main/art.asp?articlekey=10301 (282 words)

	Bayes Theorem (Site not responding. Last check: 2007-11-03)
		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)

	Bayes biography
		Thomas Bayes' father, Joshua Bayes, was one of the first six Nonconformist ministers to be ordained in England.
		Bayes apparently tried to retire from the ministry in 1749 but remained minister at Tunbridge Wells until 1752 when he did retire, but continued to live in Tunbridge Wells.
		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 \| scit_04123_package.xml
		It was in honor of this work, wherein Bayes defined the "business of the mathematician"; as one of making deductions rather than propounding a specific theory, that Bayes received his election to the Royal Society.
		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 /biography/thomas-bayes-scit-04123 (540 words)

	Chapter 9. Bayes Theorem
		Since both the 'rain' and 'plane' hypotheses make equivalent predictions about subsequent wetness, the decision about which to believe must take into account the prior probabilities of the hypotheses (rain is a much more familiar experience), or additional sources of information (such as the presence or absence of clouds or engine noise).
		When considering several hypotheses, Bayes' Theorem provides the probability that, given the evidence, each of the hypotheses is the true hypothesis.
		Bayesian methods contrast with the more familiar 'frequentist' type of hypothesis testing, in which a single null hypothesis is chosen and then accepted or rejected according to the probability that the results would be as surprising as those observed if the null hypothesis were true.
	bayes.colorado.edu /Bayes/help/ch09.html (430 words)

	Bayes' Theorem: Conditional Probabilities
		For the application of Bayes' theorem to the situation where "probability" is defined as an index of subjective confidence, see the page Bayes' Theorem: "Adjustment of Subjective Confidence".
		Bayes' theorem describes the relationships that exist within an array of simple and conditional probabilities.
		To perform calculations using Bayes' theorem, enter the probability for one or the other of the items in each of the following pairs (the remaining item in each pair will be calculated automatically).
	faculty.vassar.edu /lowry/bayes.html (591 words)

	Bayes
		Thomas Bayes' father was one of the first six Nonconformist ministers to be ordained in England.
		Bayes apparently tried to retire from the ministry in 1749 but remained minister at Tunbridge Wells until 1752 when he retired, but continued to live in Tunbridge Wells.
		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.
	www.educ.fc.ul.pt /icm/icm2003/icm14/Bayes.htm (429 words)

	NORA BAYES
		At the time of her birth, vaudeville was on the rise, and by 1898 it was an accepted form of family entertainment.
		Since Bayes was also an accomplished comedienne and actress, she flourished in the cleaner venue of vaudeville, which succeeded the variety shows.
		Not only was Nora Bayes a successful and accomplished performer, she was also in some ways a forerunner of the feminist movement, which reached its zenith long after her death.
	www.suite101.com /article.cfm/live_and_on_stage/90290 (648 words)

	Graphical Models
		We can use Bayes' rule to compute the posterior probability of each explanation (where 0==false and 1==true).
		Bayes nets can also be used for causal, or "top down", reasoning.
		One of the most exciting things about Bayes nets is that they can be used to put discussions about causality on a solid mathematical basis.
	www.cs.berkeley.edu /~murphyk/Bayes/bayes.html (6628 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)

	Page4 (Site not responding. Last check: 2007-11-03)
		Walter Bayes' depiction of "The Underworld", (left), a large painting of Londoners sheltering from an WW1 air-raid in a Tube station.
		This medal, designed by Gilbert Bayes, was struck for the London and North East Railway to commemorate the 100th anniversary of the opening of it's ancestor, the Stockton and Darlington Railway, i.e.
		Gilbert Bayes (1872 - 1953), one of four children of Lumbutts artist Alfred Walter Bayes, was a sculptor in bronze and.........etc.....etc.......
	homepages.tesco.net /~johnfred/Bayes4.html (3013 words)

	Naive Bayes-Introduction
		Naive Bayes classification gets around this problem by not requiring that you have lots of observations for each possible combination of the variables.
		In other words, Naïve Bayes classifiers assume that the effect of a variable value on a given class is independent of the values of other variable.
		Bayes theorem is useful in that it provides a way of calculating the posterior probability, P(HX), from P(H), P(X), and P(XH).
	www.resample.com /xlminer/help/NaiveBC/classiNB_intro.htm (332 words)

	Ronald H. Bayes Papers Inventory (#4949)
		Poet Ronald Bayes was born in Freewater, Ore., on 19 July 1932 to Floyd Edgar Bayes and Mildred Florence Bayes, but was raised by his maternal grandparents, Homer and Florence Cochran.
		From 1956 to 1958, Bayes served in the United States Army Infantry and was stationed in Iceland.
		Bayes also established the St. Andrews Writers Forum, a weekly event that brought outside writers and poets to the college for readings and symposia.
	www.lib.unc.edu /mss/inv/htm/04949.html (1473 words)

	Bayes' Theorem: Introduction (Site not responding. Last check: 2007-11-03)
		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)

	Automatic Document Classification With Perl
		One common approach is to use the ``Naive Bayes'' classifier, which involves a little basic probability and very little guidance from a human director.
		In order to better understand the Naive Bayes classifier, I decided to write an implementation of it using Perl and the mysql database, tools with which I am very familiar.
		Bayes' Theorem is a way of inverting a conditional probability.
	mathforum.org /~ken/bayes/bayes.html (992 words)

	Bayesian Statistics (Site not responding. Last check: 2007-11-03)
		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 Network "Smart" Diagnostics (Site not responding. Last check: 2007-11-03)
		(Bayes networks are also known as "belief networks," "Bayesian networks," or "causal networks.") Formally, a Bayes network models the probability distribution of a set of random variables as nodes in a graph, and it models the probabilistic dependencies among variables as arcs in the graph.
		The Bayes network is a concise way to encode diagnostic knowledge from a combination of engineering knowledge and statistical data in such a way that all possible test and observation diagnostic sequences can be generated from it.
		Bayes network diagnostics are used in several commercial implementations, most notably by Microsoft, in General Electric's Condition Forecaster* tool and for troubleshooting websites (see, for example, "Parts America.com" [19]).
	www.intel.com /technology/itj/2004/volume08issue04/art10_bayesnetwork/p02_intro.htm (780 words)

	Welcome to Bayes Achievement Center
		Bayes Achievement Center, Inc. (BAC) is required by law to maintain the privacy of your protected health information (PHI) and to provide you with notice of your privacy rights and BAC's legal duties and privacy practices with respect to your PHI.
		BAC is required to abide by the terms of this notice with respect to your PHI but reserves the right to change the terms of this notice and make the new notice provisions effective for all PHI that BAC maintains.
		Although your health record is the physical property of Bayes Achievement Center, Inc., the facility that compiled it, the information belongs to you.
	bayescenter.com /privacy.html (1020 words)

	Naive Bayes Classifier
		The Naive Bayes Classifier technique is based on the so-called Bayesian theorem and is particularly suited when the dimensionality of the inputs is high.
		In effect, Naive Bayes reduces a high-dimensional density estimation task to a one-dimensional kernel density estimation.
		For categorical variables, a discrete probability is used with values of the categorical level being proportional to their conditional frequency in the training data.
	www.statsoft.com /textbook/stnaiveb.html (723 words)

	Catalogue » Nora Bayes and Jack Norworth: Together and Alone (Site not responding. Last check: 2007-11-03)
		Act 1 begins with the "Together" period of Bayes and Norworth, who billed themselves as "America's Happiest Couple." They were married in 1908, when each was already a big hit in vaudeville.
		Wilson." She slows down the pace a bit with the unusual "Sunbeam Sal" and picks it up again with the risqué "I Work Eight Hours, Sleep Eight Hours, That Leaves Eight Hours for Love." During all this time, Nora was a major hit in vaudeville, and she toured the world as well.
		Bayes returned to recording in 1916 with a great number, "Homesickness Blues." Her songs were now featured on double-sided discs, so the flipside was "The Greatest Battle Song of All," a comic war song in which "Here Comes the Bride" is the greatest battle song, beating out all other nationalist anthems.
	www.archeophone.com /product_info.php?products_id=55 (1256 words)

	Bayesian Systems, Inc. Thomas Bayes and Bayes Theorem (Site not responding. Last check: 2007-11-03)
		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.htm (109 words)

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