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54 relations: An Essay towards solving a Problem in the Doctrine of Chances, Base rate, Bayes factor, Bayesian inference, Bayesian probability, Bayesian statistics, Beetle, Binary data, Binomial distribution, Cambridge University Press, Conditional probability, Conditional probability distribution, Contraposition, Edward Arnold (publisher), Entomology, Event (probability theory), Frequentist probability, Harold Jeffreys, Homomorphism, Inductive probability, John Allen Paulos, John Wiley & Sons, Joint probability distribution, Law of total probability, Marginal distribution, Mathematician, Nature Methods, Nicholas Saunderson, Odds, Partition of a set, Philosophical Transactions of the Royal Society, Pierre-Simon Laplace, Posterior probability, Prior probability, Probability, Probability density function, Probability interpretations, Probability theory, Proportionality (mathematics), Propositional calculus, Pythagorean theorem, Quantum Bayesianism, Random variable, Richard Price, Royal Society, Sample space, Sensitivity and specificity, Statistical inference, Statistics, Stephen Stigler, ..., Subjective logic, Subspecies, Thomas Bayes, Yale University Press. Expand index (4 more) »
An Essay towards solving a Problem in the Doctrine of Chances
An Essay towards solving a Problem in the Doctrine of Chances is a work on the mathematical theory of probability by the Reverend Thomas Bayes, published in 1763, two years after its author's death, and containing multiple amendments and additions due to his friend Richard Price.
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Base rate
In probability and statistics, base rate generally refers to the (base) class probabilities unconditioned on featural evidence, frequently also known as prior probabilities.
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Bayes factor
In statistics, the use of Bayes factors is a Bayesian alternative to classical hypothesis testing.
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Bayesian inference
Bayesian inference is a method of statistical inference in which Bayes' theorem is used to update the probability for a hypothesis as more evidence or information becomes available.
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Bayesian probability
Bayesian probability is an interpretation of the concept of probability, in which, instead of frequency or propensity of some phenomenon, probability is interpreted as reasonable expectation representing a state of knowledge or as quantification of a personal belief.
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Bayesian statistics
Bayesian statistics, named for Thomas Bayes (1701–1761), is a theory in the field of statistics in which the evidence about the true state of the world is expressed in terms of degrees of belief known as Bayesian probabilities.
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Beetle
Beetles are a group of insects that form the order Coleoptera, in the superorder Endopterygota.
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Binary data
Binary data is data whose unit can take on only two possible states, traditionally termed 0 and +1 in accordance with the binary numeral system and Boolean algebra.
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Binomial distribution
In probability theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a sequence of n independent experiments, each asking a yes–no question, and each with its own boolean-valued outcome: a random variable containing a single bit of information: success/yes/true/one (with probability p) or failure/no/false/zero (with probability q.
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Cambridge University Press
Cambridge University Press (CUP) is the publishing business of the University of Cambridge.
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Conditional probability
In probability theory, conditional probability is a measure of the probability of an event (some particular situation occurring) given that (by assumption, presumption, assertion or evidence) another event has occurred.
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Conditional probability distribution
In probability theory and statistics, given two jointly distributed random variables X and Y, the conditional probability distribution of Y given X is the probability distribution of Y when X is known to be a particular value; in some cases the conditional probabilities may be expressed as functions containing the unspecified value x of X as a parameter.
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Contraposition
In logic, contraposition is an inference that says that a conditional statement is logically equivalent to its contrapositive.
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Edward Arnold (publisher)
Edward Arnold Publishers Ltd was a British publishing house with its head office in London.
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Entomology
Entomology is the scientific study of insects, a branch of zoology.
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Event (probability theory)
In probability theory, an event is a set of outcomes of an experiment (a subset of the sample space) to which a probability is assigned.
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Frequentist probability
Frequentist probability or frequentism is an interpretation of probability; it defines an event's probability as the limit of its relative frequency in a large number of trials.
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Harold Jeffreys
Sir Harold Jeffreys, FRS (22 April 1891 – 18 March 1989) was a British mathematician, statistician, geophysicist, and astronomer.
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Homomorphism
In algebra, a homomorphism is a structure-preserving map between two algebraic structures of the same type (such as two groups, two rings, or two vector spaces).
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Inductive probability
Inductive probability attempts to give the probability of future events based on past events.
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John Allen Paulos
John Allen Paulos (born July 4, 1945) is an American professor of mathematics at Temple University in Philadelphia, Pennsylvania.
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John Wiley & Sons
John Wiley & Sons, Inc., also referred to as Wiley, is a global publishing company that specializes in academic publishing.
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Joint probability distribution
Given random variables X, Y,..., that are defined on a probability space, the joint probability distribution for X, Y,...
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Law of total probability
In probability theory, the law (or formula) of total probability is a fundamental rule relating marginal probabilities to conditional probabilities.
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Marginal distribution
In probability theory and statistics, the marginal distribution of a subset of a collection of random variables is the probability distribution of the variables contained in the subset.
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Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems.
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Nature Methods
Nature Methods is a monthly peer-reviewed scientific journal covering new scientific techniques.
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Nicholas Saunderson
Nicholas Saunderson (20 January 1682 – 19 April 1739) was a blind English scientist and mathematician.
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Odds
Odds are a numerical expression, usually expressed as a pair of numbers, used in both gambling and statistics.
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Partition of a set
In mathematics, a partition of a set is a grouping of the set's elements into non-empty subsets, in such a way that every element is included in one and only one of the subsets.
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Philosophical Transactions of the Royal Society
Philosophical Transactions, titled Philosophical Transactions of the Royal Society (often abbreviated as Phil. Trans.) from 1776, is a scientific journal published by the Royal Society.
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Pierre-Simon Laplace
Pierre-Simon, marquis de Laplace (23 March 1749 – 5 March 1827) was a French scholar whose work was important to the development of mathematics, statistics, physics and astronomy.
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Posterior probability
In Bayesian statistics, the posterior probability of a random event or an uncertain proposition is the conditional probability that is assigned after the relevant evidence or background is taken into account.
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Prior probability
In Bayesian statistical inference, a prior probability distribution, often simply called the prior, of an uncertain quantity is the probability distribution that would express one's beliefs about this quantity before some evidence is taken into account.
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Probability
Probability is the measure of the likelihood that an event will occur.
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Probability density function
In probability theory, a probability density function (PDF), or density of a continuous random variable, is a function, whose value at any given sample (or point) in the sample space (the set of possible values taken by the random variable) can be interpreted as providing a relative likelihood that the value of the random variable would equal that sample.
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Probability interpretations
The word probability has been used in a variety of ways since it was first applied to the mathematical study of games of chance.
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Probability theory
Probability theory is the branch of mathematics concerned with probability.
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Proportionality (mathematics)
In mathematics, two variables are proportional if there is always a constant ratio between them.
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Propositional calculus
Propositional calculus is a branch of logic.
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Pythagorean theorem
In mathematics, the Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.
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Quantum Bayesianism
In physics and the philosophy of physics, quantum Bayesianism (QBism) is an interpretation of quantum mechanics that takes an agent's actions and experiences as the central concerns of the theory.
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Random variable
In probability and statistics, a random variable, random quantity, aleatory variable, or stochastic variable is a variable whose possible values are outcomes of a random phenomenon.
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Richard Price
Richard Price (23 February 1723 – 19 April 1791) was a British moral philosopher, nonconformist preacher and mathematician.
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Royal Society
The President, Council and Fellows of the Royal Society of London for Improving Natural Knowledge, commonly known as the Royal Society, is a learned society.
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Sample space
In probability theory, the sample space of an experiment or random trial is the set of all possible outcomes or results of that experiment.
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Sensitivity and specificity
Sensitivity and specificity are statistical measures of the performance of a binary classification test, also known in statistics as a classification function.
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Statistical inference
Statistical inference is the process of using data analysis to deduce properties of an underlying probability distribution.
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Statistics
Statistics is a branch of mathematics dealing with the collection, analysis, interpretation, presentation, and organization of data.
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Stephen Stigler
Stephen Mack Stigler (born August 10, 1941) is Ernest DeWitt Burton Distinguished Service Professor at the Department of Statistics of the University of Chicago.
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Subjective logic
Subjective logic is a type of probabilistic logic that explicitly takes uncertainty and source trust into account.
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Subspecies
In biological classification, the term subspecies refers to a unity of populations of a species living in a subdivision of the species’s global range and varies from other populations of the same species by morphological characteristics.
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Thomas Bayes
Thomas Bayes (c. 1701 7 April 1761) was an English statistician, philosopher and Presbyterian minister who is known for formulating a specific case of the theorem that bears his name: Bayes' theorem.
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Yale University Press
Yale University Press is a university press associated with Yale University.
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References
[1] https://en.wikipedia.org/wiki/Bayes'_theorem
