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Part of a series on
Bayesian statistics
Posterior = Likelihood × Prior ÷ Evidence
Background
Bayesian inference
Bayesian probability
Bayes' theorem
Bernstein–von Mises theorem
Coherence
Cox's theorem
Cromwell's rule
Principle of indifference
Principle of maximum entropy
Model building
Weak prior ... Strong prior
Conjugate prior
Linear regression
Empirical Bayes
Hierarchical model
Posterior approximation
Markov chain Monte Carlo
Laplace's approximation
Integrated nested Laplace approximations
Variational inference
Approximate Bayesian computation
Estimators
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Credible interval
Maximum a posteriori estimation
Evidence approximation
Evidence lower bound
Nested sampling
Model evaluation
Bayes factor
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Posterior predictive
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The principle of transformation groups is a methodology for assigning prior probabilities in statistical inference issues, initially proposed by E. T. Jaynes.[1] It is regarded as an extension of the principle of indifference.
Prior probabilities determined by this principle are objective in that they rely solely on the inherent characteristics of the problem, ensuring that any two individuals applying the principle to the same issue would assign identical prior probabilities. Thus, this principle is integral to the objective Bayesian interpretation of probability.
^Jaynes, Edwin T. (1968). "Prior Probabilities" (PDF). IEEE Transactions on Systems Science and Cybernetics. 4 (3): 227–241. doi:10.1109/TSSC.1968.300117. Archived (PDF) from the original on 2023-06-21. Retrieved 2023-06-30.
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equiprobability is known as the principleoftransformationgroups and leads to misuse of equiprobability as a model for incertitude. Principleof indifference Laplacian...
phenomenon known as the uncertainty principle. The critical case for this principle is the Gaussian function, of substantial importance in probability...
defined by normalizing the Haar measure of this symmetry group. This is known as the principleoftransformationgroups. "Socrates and Berkeley Scholars Web...
by deriving the Lorentz transformation under the assumptions of the principleof relativity and the constancy of the speed of light in any inertial reference...
of Newtonian physics. These transformations together with spatial rotations and translations in space and time form the inhomogeneous Galilean group (assumed...
covariance group. The principleof covariance does not require invariance of the physical laws under the groupof admissible transformations although in...
Principle of Structure, 2) The Principle of Transformation, 3) The Principleof Interaction, and 4) The Principleof Adaption. Interdependence theory was first...
relations of a new type ("Lorentz transformation") are postulated for the conversion of coordinates and times of events ... The universal principleof the special...
Hamiltonian mechanics, a canonical transformation is a change of canonical coordinates (q, p) → (Q, P) that preserves the form of Hamilton's equations. This is...
The equivalence principle is the hypothesis that the observed equivalence of gravitational and inertial mass is a consequence of nature. The weak form...
standpoint, the reality principle corresponds to a transformationof free energy into bound energy. Freud defines impulses as products of two competing forces:...
measurement of when events occur within the universe). However, space and time took on new meanings with the Lorentz transformation and special theory of relativity...
extended Lagrangian is covariant with respect to a new extended groupof local transformations. Gauge theory Gauge covariant derivative Gauge fixing Gauge...
under a groupoftransformations. Ekeland's variational principle in mathematical optimization The finite element method The variation principle relating...
form of corporatism the proponents of which claim or believe that corporate groups should form the basis of society and the state. By this principle, the...
of potentially threatening activities or substances (Cooney, 2005). Over time, there has been a gradual transformationof the precautionary principle...
Calcium chloride (CaCl2) transformation is a laboratory technique in prokaryotic (bacterial) cell biology. The addition of calcium chloride to a cell...
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