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- W2804842716 abstract "In this paper, from the the theoretical viewpoint of analyzing the stochastic systems, the new statistical methodologies for actual random fluctuations have been proposed based on the inverse Gaussian distribution function. By considering the flexibility of the inverse Gaussian distribution function, the orthogonally expanded expression of the probability function is first derived by use of the Schmit's orthogonalization technique, whose expansion coefficients reflect hierarchically the lower and higher order statistics of phenomena. Next, by adopting the Bayesian viewpoint, a computer-aided algorithm for estimating the unknown state of energy stochastic systems under random measurement noise is newly established. Finally, the effectiveness of theoretical results has been experimentally confirmed." @default.
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- W2804842716 date "1994-05-05" @default.
- W2804842716 modified "2023-10-16" @default.
- W2804842716 title "A UNIFIED PROBABILITY EXPRESSION BASED ON INVERSE GAUSSIAN DISTRIBUTION IN A HIERARCHICAL FORM AND ITS APPLICATION TO THE STATE ESTIMATION FOR ACTUAL ENERGY STOCHASTIC SYSTEMS" @default.
- W2804842716 doi "https://doi.org/10.5687/sss.1994.93" @default.
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