Heteroscedastic regression analysis method for mixed data
Heteroscedastic regression analysis method for mixed data
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摘要: The heteroscedastic regression model was established and the heteroscedastic regression analysis method was presented for mixed data composed of complete data, type-Ⅰ censored data and type-Ⅱ censored data from the location-scale distribution. The best unbiased estimations of regression coefficients, as well as the confidence limits of the location parameter and scale parameter were given. Furthermore, the point estimations and confidence limits of percentiles were obtained. Thus, the traditional multiple regression analysis method which is only suitable to the complete data from normal distribution can be extended to the cases of heteroscedastic mixed data and the location-scale distribution. So the presented method has a broad range of promising applications.Abstract: The heteroscedastic regression model was established and the heteroscedastic regression analysis method was presented for mixed data composed of complete data, type-Ⅰ censored data and type-Ⅱ censored data from the location-scale distribution. The best unbiased estimations of regression coefficients, as well as the confidence limits of the location parameter and scale parameter were given. Furthermore, the point estimations and confidence limits of percentiles were obtained. Thus, the traditional multiple regression analysis method which is only suitable to the complete data from normal distribution can be extended to the cases of heteroscedastic mixed data and the location-scale distribution. So the presented method has a broad range of promising applications.
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Key words:
- heteroscedastic regression analysis /
- censored data /
- performance test /
- life prediction
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