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ЖУРНАЛЫ // Theory of Stochastic Processes // Архив

Theory Stoch. Process., 2008, том 14(30), выпуск 3, страницы 53–66 (Mi thsp213)

Approximation of random processes by cubic splines

Olexandra Kamenschykova

Department of Probability Theory and Mathematical Statistics, Kyiv National Taras Shevchenko University, Kyiv, Ukraine

Аннотация: Approximation of some classes of random processes by cubic splines with given accuracy and reliability is considered. Estimations of deviation of approximating spline from original process are obtained. A few examples of approximation are considered. Application of splines for simulation of processes is also studied.

Ключевые слова: Fundamental equation of the risk theory, ordinary/stationary renewal process, delayed renewal processes, stationarity, discrete analog of one-sided Wiener-Hopf integral equation, Riemann boundary-value problem, Wiener-Hopf factorization method.

MSC: 60G35, 45E10, 62P05

Язык публикации: английский



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