Title | ||
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A unified approach to asymptotic behaviors for the autoregressive model with fuzzy data |
Abstract | ||
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We propose a unified estimator for the autoregressive model with fuzzy input-output variables based on the least squares method. The least squares estimation is investigated in presence of a unified @r-distance defined on the space of fuzzy numbers. We investigate asymptotic properties of the unified estimator under some simple conditions as well as a generalization, which reduces to the asymptotic properties under those distances when the distances are the special cases of @r-distance. Some simulation studies are included to compare the asymptotic properties of estimators formed under several distances being the special cases of @r-distance. |
Year | DOI | Venue |
---|---|---|
2014 | 10.1016/j.ins.2013.09.024 | Inf. Sci. |
Keywords | Field | DocType |
unified approach,simulation study,squares method,special case,fuzzy number,squares estimation,unified estimator,autoregressive model,fuzzy input-output variable,asymptotic property,fuzzy data,simple condition,least squares estimation,consistency,asymptotic normality | Least squares,Applied mathematics,Discrete mathematics,Autoregressive model,Mathematical optimization,Fuzzy logic,Fuzzy number,Fuzzy data,Mathematics,Estimator,Asymptotic distribution | Journal |
Volume | ISSN | Citations |
257, | 0020-0255 | 3 |
PageRank | References | Authors |
0.41 | 10 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Hye Young Jung | 1 | 15 | 1.62 |
Woo Joo Lee | 2 | 3 | 0.41 |
Jin Hee Yoon | 3 | 77 | 10.77 |