کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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418174 | 681615 | 2007 | 15 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Diagnostics analysis for log-Birnbaum–Saunders regression models Diagnostics analysis for log-Birnbaum–Saunders regression models](/preview/png/418174.png)
In this paper, several diagnostics measures are proposed based on case-deletion model for log-Birnbaum–Saunders regression models (LBSRM), which might be a necessary supplement of the recent work presented by Galea et al. [2004. Influence diagnostics in log-Birnbaum–Saunders regression models. J. Appl. Statist. 31, 1049–1064] who studied the influence diagnostics for LBSRM mainly based on the local influence analysis. It is shown that the case-deletion model is equivalent to the mean-shift outlier model in LBSRM and an outlier test is presented based on mean-shift outlier model. Furthermore, we investigate a test of homogeneity for shape parameter in LBSRM, which is a problem mentioned by both Rieck and Nedelman [1991. A log-linear model for the Birnbaum–Saunders distribution. Technometrics 33, 51–60] and Galea et al. [2004. Influence diagnostics in log-Birnbaum–Saunders regression models. J. Appl. Statist. 31, 1049–1064]. We obtain the likelihood ratio and score statistics for such test. Finally, a numerical example is given to illustrate our methodology and the properties of likelihood ratio and score statistics are investigated through Monte Carlo simulations.
Journal: Computational Statistics & Data Analysis - Volume 51, Issue 9, 15 May 2007, Pages 4692–4706