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    LÉVY PROCESS BASED ORNSTEIN-UHLENBECK TEMPERATURE MODEL WITH TIME VARYING SPEED OF MEAN REVERSION

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    Date
    2018
    Author
    Dzupire, Nelson Christopher
    Ngare, Philip
    Odongo, Leo
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    Abstract
    In this study we develop a Lévy process driven Ornstein-Uhlenbeck daily temperature model. The model takes into account a time dependent speed of mean reversion. It is statistically demonstrated that historical data and temperature differences are not normally distributed and hence we have argued against modeling temperature residuals as a Wiener process rather we have used the normal inverse Gaussian distribution which can ably describe skewed and heavy tailed data. Neural networks have been applied to estimate parameters of the detrended and deseasonalized temperature data because there is no prior knowledge on the nature of the function that describes the speed of mean reversion in the model
    URI
    http://ir.mksu.ac.ke/handle/123456780/4409
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    • School of Pure and Applied Sciences [259]

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