Results 251 to 260 of about 1,985,172 (291)
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‘Exponential mixtures and quadratic exponential families’

Biometrika, 1994
Correlated responses are common in many fields of application such as time series, spatial statistics and longitudinal studies. In medical statistics and in epidemiological studies, correlation can arise because of cluster sampling. Individuals in a cluster have in common unobserved traits, either genetic or environmental, as a result of which their ...
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A note on exponentiation

Journal of Symbolic Logic, 1993
AbstractWe study the strength (over bounded induction) of axioms expressing particular cases of the Chinese Remainder Theorem with respect to the axiom ∀x, y∃z (z = xy).
Charalampos Cornaros   +1 more
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Exponential Structures

Studies in Applied Mathematics, 1978
Generating functions of the type occur throughout enumerative combinatorics. We give a general setting for obtaining such generating functions in which the numbers M (n) have an explicit combinatorial meaning. Applications are given to the computation of Möbius functions and related invariants of certain posets.
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The Exponentiated Additive Teissier-Exponential Distribution

Lobachevskii Journal of Mathematics, 2023
Jha, V. P., Kumaran, V.
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On the Exponentiation of Languages

2003
We characterize the exponentiation of languages by other language operations: In the presence of some “weak” operations, exponentiation is exactly as powerful as complement and e-free morphism. This characterization implies, besides others, that a semi-AFL is closed under complement iff it is closed under exponentiation.
Werner Kuich, Klaus W. Wagner
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The exponentiated exponential distribution: a survey

AStA Advances in Statistical Analysis, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On An Exponential Sum

Journal of the London Mathematical Society, 1938
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Expanding the Exponential

Journal of Mathematical Physics, 1965
Systematic methods for generating various expansions of the function exp (a + λb)t, of noncommuting operators a and b, are presented. The usual perturbation expansion in powers of λ, and several other formulas found in the earlier literature occur as special cases. Brief remarks about relative merits and physical applications are made.
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On exponential entropies

SMC 2000 Conference Proceedings. 2000 IEEE International Conference on Systems, Man and Cybernetics. 'Cybernetics Evolving to Systems, Humans, Organizations, and their Complex Interactions' (Cat. No.00CH37166), 2002
As a number of information, an entropy has been defined as the weighted mean of a set of exponential functions involving the probabilities of a set of random events. The exponential entropy is claimed to have certain advantages over the classical Shannon entropy (C.E. Shannon, 1948). The article proposes two different generalizations of the exponential
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On the Exponential Inequalities and the Exponential Function

The Mathematical Gazette, 1907
Theorem. If a he any positive quantity not equal to 1, and x, y, z be any three rational quantities in descending order of magnitude, then
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