Results 261 to 270 of about 129,126 (304)

Convolution and Minimax Theorems

1996
Let H be a linear subspace of a Hilbert space with inner product (·, ·) and norm I · II. For each n ∈ N and h ∈ H, let P n,h be a probability measure on a measurable space (X n , A n ). Consider the problem of estimating a “parameter” k n (h) given an “observation” X n with law P n,h .
Aad W. van der Vaart, Jon A. Wellner
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Titchmarsh's Convolution Theorem on Groups

Proceedings of the American Mathematical Society, 1968
There is a well-known theorem of Titchrnarsh concerning measures with compact-support which may be stated as follows. (T) If ,u, v are finite measures on R (the real line) with compact support, and their intervals of support are [a, b], [c, d] resp. then the interval of support of ,u * v is [a+c, b+d].
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Steganographical Algorithms Based on the Convolution Theorem

Cybernetics and Systems Analysis, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Borodavka, N. V., Zadiraka, V. K.
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Convolution theorems associated with some integral operators and convolutions

Mathematical Methods in the Applied Sciences, 2018
In this article, various convolution theorems involving certain weight functions and convolution products are derived. The convolution theorems we obtain are more general, convenient, and efficient than the complicated convolution theorem of the Hartley transform.
Al-Omari, Shrideh K. Q., Baleanu, Dumitru   +1 more
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Convolution Theorem and Asymptotic Efficiency

2019
The optimality of the maximum likelihood estimate developed in Chapters 8 and 9 is in terms of the asymptotic variance of the solution of estimating equations. However, this optimality goes much deeper. In this chapter the maximum likelihood estimate, as well as estimates that are asymptotically equivalent to it, are shown to have the smallest ...
Bing Li, G. Jogesh Babu
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Titchmarsh's convolution theorem and generalizations

2022
This thesis was scanned from the print manuscript for digital preservation and is copyright the author. Researchers can access this thesis by asking their local university, institution or public library to make a request on their behalf. Monash staff and postgraduate students can use the link in the References field.
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Convolution theorems for linear transforms

IEEE Transactions on Signal Processing, 1998
Summary: This correspondence explores the existence of convolution theorems for linear transformations under a variety of different assumptions. There are eight convolution theorems, all Fourier-related with only \(N\) operations in the transform domain and no ordering constraints on the convolution components in the result.
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Convolution and Asymptotic Minimax Theorems

1992
Now we give statements of several convolution and asymptotic minimax theorems. The key hypotheses involved in virtually all the different formulations of these theorems are: A. Local asymptotic normality (LAN) of the local likelihood ratios of the model. A sufficient condition for this is differentiability of the model in an appropriate sense.
Piet Groeneboom, Jon A. Wellner
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The Convolution Theorem in Modern Analysis

IEEE Transactions on Education, 1966
In this paper, the convolution theorem is used as a fundamental tool to solve problems associated with frequency translation, amplitude modulation, sampling, and transformation of random variables. The four basic steps involved in the convolution of two functions are explained in detail using graphic techniques.
C. A. Blackwell, R. S. Simpson
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Hinčin's Theorem for Multiplicative Free Convolution

Canadian Mathematical Bulletin, 2008
AbstractHinčin proved that any limit law, associated with a triangular array of infinitesimal random variables, is infinitely divisible. The analogous result for additive free convolution was proved earlier by Bercovici and Pata. In this paper we will prove corresponding results for the multiplicative free convolution of measures defined on the unit ...
S. T. Belinschi, H. Bercovici
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