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- W2984682223 abstract "In this paper, we study the one-dimensional homogeneous stochastic Brennan–Schwartz diffusion process. This model is a generalization of the homogeneous lognormal diffusion process. What is more, it is used in various contexts of financial mathematics, for example in deriving a numerical model for convertible bond prices. In this work, we obtain the probabilistic characteristics of the process such as the analytical expression, the trend functions (conditional and non-conditional), and the stationary distribution of the model. We also establish a methodology for the estimation of the parameters in the process: First, we estimate the drift parameters by the maximum likelihood approach, with continuous sampling. Then, we estimate the diffusion coefficient by a numerical approximation. Finally, to evaluate the capability of this process for modeling real data, we applied the stochastic Brennan–Schwartz diffusion process to study the evolution of electricity net consumption in Morocco." @default.
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- W2984682223 date "2019-11-06" @default.
- W2984682223 modified "2023-10-16" @default.
- W2984682223 title "Stochastic Brennan–Schwartz Diffusion Process: Statistical Computation and Application" @default.
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- W2984682223 doi "https://doi.org/10.3390/math7111062" @default.
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