Algorithm for constructing of stationary normal Markov 3d-field: dynamic equations of motion, statistical probability distributions, visualization
A three-dimensional field with properties of stationary, normality and Markov process is considered. In the paper is considered a three-dimensional field, which has the properties of stationarity, normality, and process of Markov. The analysis is based on the equation of motion of the amplitude of a...
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| Format: | Article |
| Language: | English |
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National Technical University Kharkiv Polytechnic Institute
2017-12-01
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| Series: | Вісник Національного технічного університету "ХПÌ": Системний аналіз, управління та інформаційні технології |
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| Online Access: | http://samit.khpi.edu.ua/article/view/2079-0023.2017.55.03 |
| _version_ | 1797935785158115328 |
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| author | Александр Сергеевич Мазманишвили Анна Юрьевна Сидоренко |
| author_facet | Александр Сергеевич Мазманишвили Анна Юрьевна Сидоренко |
| author_sort | Александр Сергеевич Мазманишвили |
| collection | DOAJ |
| description | A three-dimensional field with properties of stationary, normality and Markov process is considered. In the paper is considered a three-dimensional field, which has the properties of stationarity, normality, and process of Markov. The analysis is based on the equation of motion of the amplitude of a three-dimensional field with a generating three-dimensional field possessing the properties of three-dimensional white noise. For a random variable, the amplitudes of a three-dimensional normal Markov field of the first order in the volume, transition conditional probability density densities are obtained together with the unconditional probability distribution density. On their basis, an algorithm for generating such a field in a parallelepiped is constructed and justified. A numerical example of the implementation of the proposed algorithm is given. |
| first_indexed | 2024-04-10T18:19:35Z |
| format | Article |
| id | doaj.art-dbfd80760b934f01a47b7046186917cb |
| institution | Directory Open Access Journal |
| issn | 2079-0023 2410-2857 |
| language | English |
| last_indexed | 2024-04-10T18:19:35Z |
| publishDate | 2017-12-01 |
| publisher | National Technical University Kharkiv Polytechnic Institute |
| record_format | Article |
| series | Вісник Національного технічного університету "ХПÌ": Системний аналіз, управління та інформаційні технології |
| spelling | doaj.art-dbfd80760b934f01a47b7046186917cb2023-02-02T07:34:53ZengNational Technical University Kharkiv Polytechnic InstituteВісник Національного технічного університету "ХПÌ": Системний аналіз, управління та інформаційні технології2079-00232410-28572017-12-01055132010.20998/2079-0023.2017.55.032079-0023.2017.55.03Algorithm for constructing of stationary normal Markov 3d-field: dynamic equations of motion, statistical probability distributions, visualizationАлександр Сергеевич МазманишвилиАнна Юрьевна СидоренкоA three-dimensional field with properties of stationary, normality and Markov process is considered. In the paper is considered a three-dimensional field, which has the properties of stationarity, normality, and process of Markov. The analysis is based on the equation of motion of the amplitude of a three-dimensional field with a generating three-dimensional field possessing the properties of three-dimensional white noise. For a random variable, the amplitudes of a three-dimensional normal Markov field of the first order in the volume, transition conditional probability density densities are obtained together with the unconditional probability distribution density. On their basis, an algorithm for generating such a field in a parallelepiped is constructed and justified. A numerical example of the implementation of the proposed algorithm is given.http://samit.khpi.edu.ua/article/view/2079-0023.2017.55.03тривимірне поле в об’ємістатистичні розподілистаціонарністьнормальністьмарковістьалгоритм генераціївізуалізаціячисельний приклад |
| spellingShingle | Александр Сергеевич Мазманишвили Анна Юрьевна Сидоренко Algorithm for constructing of stationary normal Markov 3d-field: dynamic equations of motion, statistical probability distributions, visualization Вісник Національного технічного університету "ХПÌ": Системний аналіз, управління та інформаційні технології тривимірне поле в об’ємі статистичні розподіли стаціонарність нормальність марковість алгоритм генерації візуалізація чисельний приклад |
| title | Algorithm for constructing of stationary normal Markov 3d-field: dynamic equations of motion, statistical probability distributions, visualization |
| title_full | Algorithm for constructing of stationary normal Markov 3d-field: dynamic equations of motion, statistical probability distributions, visualization |
| title_fullStr | Algorithm for constructing of stationary normal Markov 3d-field: dynamic equations of motion, statistical probability distributions, visualization |
| title_full_unstemmed | Algorithm for constructing of stationary normal Markov 3d-field: dynamic equations of motion, statistical probability distributions, visualization |
| title_short | Algorithm for constructing of stationary normal Markov 3d-field: dynamic equations of motion, statistical probability distributions, visualization |
| title_sort | algorithm for constructing of stationary normal markov 3d field dynamic equations of motion statistical probability distributions visualization |
| topic | тривимірне поле в об’ємі статистичні розподіли стаціонарність нормальність марковість алгоритм генерації візуалізація чисельний приклад |
| url | http://samit.khpi.edu.ua/article/view/2079-0023.2017.55.03 |
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