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On the Operating Characteristic Function for the Exponential Family

Calcutta Statistical Association Bulletin, 1986
This note investigates the behaviour of the function h( θ) used in Wald's approximation to the operating characteristic function of a sequential probability ratio test for testing a parameter in an exponential family density.
Walker, D. M., Weber, N. C.
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Error Bounds for Exponential Operator Splittings

BIT Numerical Mathematics, 2000
The authors obtain error bounds for Strang splittings involving unbounded operators. They apply the results to a numerical method for the Schrödinger equation, in which the Laplacian is discretized by a Fourier method.
Jahnke, T., Lubich, C.
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Exponential Rank and Exponential Length of Operators on Hilbert C * - Modules

The Annals of Mathematics, 1993
\(S_ \infty\) désigne la classe des \(C^*\)-algèbres \(A\) simples, \(\sigma\)-unifères, possédant une projection infinie dans \(A\otimes K\); et \(C_ 0\) la classe des \(C^*\)-algèbres \(A\) \(\sigma\)-unifères, admettant une unité approchée formée de projections et telles que \([p]+ [r]= [q]+ [r]\) entraîne \([p]= [q]\) dans le semigroupe des classes
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Generalized exponential dichotomies for evolution operators

2015 IEEE 10th Jubilee International Symposium on Applied Computational Intelligence and Informatics, 2015
In this paper, we consider a general concept of exponential dichotomy for abstract evolution equations, which contains, as a particular case, the classical concept of uniform exponential dichotomy. Some well-known results are extended in this case.
Nicolae Lupa   +2 more
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Direct result on exponential-type operators

Applied Mathematics and Computation, 2008
The author studies here the properties of Voronovskaia type for the exponential type operators (Bernstein, Szasz-Mirakian and Baskakov) in simultaneous approximation. He also gives some recurrence relations of some mixed summation-integrable type operators.
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Exponential and Trigonometric Operators

1997
Consider a Hermitian operator O. The exponential operator, $$ e^{i\mathcal{O}}=1+i\mathcal{O}+\frac{(i\mathcal{O})^{3}}{3!}+... $$ (45.1) forms a unitary (but non-Hermitian) operator. If the operator P commutes with the operator O, that is [O,P]= 0, then it also commutes with the exponential operator, so that $$ \mathcal{P}e^{i\mathcal{O}}
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The Dynamics and Statistics of Exponential Smoothing Operations

Operations Research, 1963
Certain of the dynamic and statistical properties of exponential smoothing operators are investigated primarily by means of the differential equations appropriate to their continuous analogues. Particular attention is given to Brown and Meyer's estimator of the current mean value of a time series exhibiting a quadratic trend.
Morris, R. H., Glassey, C. R.
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Algebra of the Exponential Operator

2001
The exponential operator, i.e. the exponential function of an operator, defined in (1.19) by way of a series expansion, is of paramount interest in mathematical physics. In view of its importance, we discuss in this chapter some useful algebraic operations involving an exponential operator.
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Symmetric Composition of Exponential Type Operators

Journal of Fourier Analysis and Applications
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qiuhui Chen, Tao Qian
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Some new semi-exponential operators

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2022
Ulrich Abel, Vijay Gupta
exaly  

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