Using the ML estimator under independent, but non identically distributed, GCD statistics (expression (13)), the M-GC estimator is extended to include weights.
For simplicity, the term "relative risk" (RR) is used generically in this paper to include various estimators of it, including the odds ratio and the hazard ratio.
In this study we propose to include another effective robust estimator, the MM-estimator [ 26], that has been shown to have both a high breakdown point (i.e. the percentage of incorrect observations an estimator can handle before giving an incorrect result) and a high efficiency [ 27, 28], but has not yet been utilised in mapping exercises.
The authors' intention in the performance comparison is not to include the existing estimators in which only one or two of the aforementioned error sources are considered.
Throughout this paper, we use the term RR to include its various estimators, including the odds ratio and the hazard ratio.
Throughout this paper, we use the term relative risk (RR) to include its various estimators, including the odds ratio and the hazard ratio.
As a result, the dimensionality of the original two signals is reduced from d to N. It should be noted that all PCs with significant contribution to the original random processes should be included in the estimator to avoid biased results.
Below we will show that the relative information in the two stages determines the efficiency of the UMVCUE compared to the stage 2 estimator, and that our estimator can include substantial information from stage 1.
1, 13 As censored patients will continue to accumulate relevant costs while unobserved (shaded portion in Figure 1B), the full-sample estimator would include only a portion of their relevant costs, and therefore it will always be an underestimate. 1 In the uncensored case estimator, only the values from complete cases are used.
Robust variance estimators were included to ensure more robust estimates of standard errors.
