Duration of stay inside an interval by the poisson process with a negative exponential component

Several two-boundary problems for the Poisson process with an exponential component are solved in the present article. The integral transforms of the joint distribution of the epoch of the first exit from the interval and the value of the overshoot through boundaries at the epoch of the exit are ob...

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Дата:2006
Автор: Kadankova, T.
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2006
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/4441
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Duration of stay inside an interval by the poisson process with a negative exponential component / T. Kadankova // Theory of Stochastic Processes. — 2006. — Т. 12 (28), № 1-2. — С. 55–67. — Бібліогр.: 11 назв.— англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
id irk-123456789-4441
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spelling irk-123456789-44412009-11-11T12:00:34Z Duration of stay inside an interval by the poisson process with a negative exponential component Kadankova, T. Several two-boundary problems for the Poisson process with an exponential component are solved in the present article. The integral transforms of the joint distribution of the epoch of the first exit from the interval and the value of the overshoot through boundaries at the epoch of the exit are obtained. The Laplace transform of the total duration time of the process’s stay inside the interval is found. 2006 Article Duration of stay inside an interval by the poisson process with a negative exponential component / T. Kadankova // Theory of Stochastic Processes. — 2006. — Т. 12 (28), № 1-2. — С. 55–67. — Бібліогр.: 11 назв.— англ. 0321-3900 http://dspace.nbuv.gov.ua/handle/123456789/4441 519.21 en Інститут математики НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description Several two-boundary problems for the Poisson process with an exponential component are solved in the present article. The integral transforms of the joint distribution of the epoch of the first exit from the interval and the value of the overshoot through boundaries at the epoch of the exit are obtained. The Laplace transform of the total duration time of the process’s stay inside the interval is found.
format Article
author Kadankova, T.
spellingShingle Kadankova, T.
Duration of stay inside an interval by the poisson process with a negative exponential component
author_facet Kadankova, T.
author_sort Kadankova, T.
title Duration of stay inside an interval by the poisson process with a negative exponential component
title_short Duration of stay inside an interval by the poisson process with a negative exponential component
title_full Duration of stay inside an interval by the poisson process with a negative exponential component
title_fullStr Duration of stay inside an interval by the poisson process with a negative exponential component
title_full_unstemmed Duration of stay inside an interval by the poisson process with a negative exponential component
title_sort duration of stay inside an interval by the poisson process with a negative exponential component
publisher Інститут математики НАН України
publishDate 2006
url http://dspace.nbuv.gov.ua/handle/123456789/4441
citation_txt Duration of stay inside an interval by the poisson process with a negative exponential component / T. Kadankova // Theory of Stochastic Processes. — 2006. — Т. 12 (28), № 1-2. — С. 55–67. — Бібліогр.: 11 назв.— англ.
work_keys_str_mv AT kadankovat durationofstayinsideanintervalbythepoissonprocesswithanegativeexponentialcomponent
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