Advances in Theoretical and Applied Statistics by Nicola Torelli Fortunato Pesarin & Avner Bar-Hen

Author:Nicola Torelli, Fortunato Pesarin & Avner Bar-Hen
Language: eng
Format: epub
Publisher: Springer Berlin Heidelberg, Berlin, Heidelberg

When no auxiliary information is used, from (26.11) we get which reduces to

if the variable Y is linearly perturbed whatever p ∈ (0, 1). The considered models meet this requirement of linearity. Therefore, from (26.4), the more efficient the estimates, the less protective the coding procedure.

For illustrative purposes, let us suppose information on X is directly collected and the sensitive response scrambled by the aforementioned SR models (p = 0 and Z = S). Then, after some algebra, we get

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