التفاصيل البيبلوغرافية
| العنوان: |
Interval arithmetic-based simple linear regression between interval data: Discussion and sensitivity analysis on the choice of the metric |
| المؤلفون: |
Sinova, Beatriz sinovabeatriz@uniovi.es, Colubi, Ana1, Gil, Marı´a Ángeles1, González-Rodrı´guez, Gil1 |
| المصدر: |
Information Sciences. Sep2012, Vol. 199, p109-124. 16p. |
| مصطلحات موضوعية: |
*INFORMATION storage & retrieval systems, *REGRESSION analysis, *PARAMETER estimation, *LINEAR statistical models, *MONTE Carlo method, INTERVAL analysis, ARITHMETIC, PREDICTION models |
| مستخلص: |
Abstract: The prediction of a response random interval-valued set from an explanatory one has been examined in previous developments. These developments have considered an interval arithmetic-based linear model between the random interval-valued sets and a least squares regression analysis. The least squares approach involves a generalized L 2-metric between interval data; this metric weights squared distances between data location (mid-points/centers) and squared distances between data imprecision (spread/radius). As a consequence, estimators of the parameters in the linear model depend on the choice of the weights in the metric. To investigate about a suitable choice of weighting in the generalized mid/spread metric, a theoretical conclusion is first obtained. Finally, the impact of varying the weights is discussed by considering a Monte Carlo simulation study. [Copyright &y& Elsevier] |
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| قاعدة البيانات: |
Business Source Index |
