# A Method of Parametric Solution of Convolution Equations

## Abstract

A method of moments is developed for the parametric form the solution of convolution equations of the first kind. Two models, the gamma model and the shifted gamma model, are studied in details and a non-parametric approach based on regularization is presented.

- Authors:

- Norwegian University of Science and Technology (Norway)

- Publication Date:

- OSTI Identifier:
- 22771589

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Mathematical Sciences

- Additional Journal Information:
- Journal Volume: 228; Journal Issue: 5; Conference: International seminar on stability problems for stochastic models, Zakopane (Poland), 31 May - 5 Jun 2009; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 97 MATHEMATICAL METHODS AND COMPUTING; EQUATIONS; MATHEMATICAL SOLUTIONS; MOMENTS METHOD

### Citation Formats

```
Ushakova, A. N., E-mail: anastasi@alumni.ntnu.no.
```*A Method of Parametric Solution of Convolution Equations*. United States: N. p., 2018.
Web. doi:10.1007/S10958-017-3646-3.

```
Ushakova, A. N., E-mail: anastasi@alumni.ntnu.no.
```*A Method of Parametric Solution of Convolution Equations*. United States. doi:10.1007/S10958-017-3646-3.

```
Ushakova, A. N., E-mail: anastasi@alumni.ntnu.no. Thu .
"A Method of Parametric Solution of Convolution Equations". United States. doi:10.1007/S10958-017-3646-3.
```

```
@article{osti_22771589,
```

title = {A Method of Parametric Solution of Convolution Equations},

author = {Ushakova, A. N., E-mail: anastasi@alumni.ntnu.no},

abstractNote = {A method of moments is developed for the parametric form the solution of convolution equations of the first kind. Two models, the gamma model and the shifted gamma model, are studied in details and a non-parametric approach based on regularization is presented.},

doi = {10.1007/S10958-017-3646-3},

journal = {Journal of Mathematical Sciences},

issn = {1072-3374},

number = 5,

volume = 228,

place = {United States},

year = {2018},

month = {2}

}

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