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Modeling and analysis of cyclic inhomogeneous Markov processes: a wind turbine case study
Data Analysis, Statistics and Probability · Submitted 1 Apr 2014
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim A method is proposed to reconstruct a cyclic time-inhomogeneous Markov pro- cess from measured data.
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The abstract, sentence by sentence
A method is proposed to reconstruct a cyclic time-inhomogeneous Markov pro- cess from measured data. First, a time-inhomogeneous Markov model is fit to the data, taken here from measurements on a wind turbine. From the time-dependent transition matrices, the time-dependent Kramers-Moyal coefficients of the corresponding stochastic process are computed. Further applications of this method are discussed.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | A method is proposed to reconstruct a cyclic time-inhomogeneous Markov pro- cess from measured data. | contribution 0.99 | 0.83 | 0.33 | asserted 0.99 |
| s1 | First, a time-inhomogeneous Markov model is fit to the data, taken here from measurements on a wind turbine. | method 0.99 | 0.90 | 0.06 | asserted 1.00 |
| s2 | From the time-dependent transition matrices, the time-dependent Kramers-Moyal coefficients of the corresponding stochastic process are computed. | method 0.95 | 0.87 | 0.12 | asserted 1.00 |
| s3 | Further applications of this method are discussed. | future work 0.97 | 0.27 | 0.05 | unclear 0.64 |
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The paper
Original abstract
A method is proposed to reconstruct a cyclic time-inhomogeneous Markov pro- cess from measured data. First, a time-inhomogeneous Markov model is fit to the data, taken here from measurements on a wind turbine. From the time-dependent transition matrices, the time-dependent Kramers-Moyal coefficients of the corresponding stochastic process are computed. Further applications of this method are discussed.
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