Efficient computation of the stochastic behavior of partial sum processes

Saengkyongam, Sorawit, Hayter, Anthony, Kiatsupaibul, Seksan and Liu, Wei (2019) Efficient computation of the stochastic behavior of partial sum processes. Computational Statistics. (doi:10.1007/s00180-019-00920-z).

Record type: Article

Abstract

In this paper the computational aspects of probability calculations for dynamical partial sum expressions are discussed. Such dynamical partial sum expressions have many important applications, and examples are provided in the fields of reliability, product quality assessment, and stochastic control. While these probability calculations are ostensibly of a high dimension, and consequently intractable in general, it is shown how a recursive integration methodology can be implemented to obtain exact calculations as a series of two-dimensional calculations. The computational aspects of the implementation of this methodology, with the adoption of Fast Fourier Transforms, are discussed.

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Efficient Computation - Accepted Manuscript

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