TY - JOUR
T1 - A pseudo-empirical log-likelihood estimator using scrambled responses
AU - Singh, Sarjinder
AU - Kim, Jong-Min
PY - 2011/3/1
Y1 - 2011/3/1
N2 - In this paper, we propose an empirical log-likelihood estimator for estimating the population mean of a sensitive variable in the presence of an auxiliary variable. A new concept of conditional mean squared error of the empirical likelihood estimator is introduced. The proposed method is valid for simple random and without replacement sampling (SRSWOR) and could easily be extended for complex survey designs. The relative efficiency of the proposed pseudo-empirical log-likelihood estimator with respect to the usual, and to a recent estimator due to Diana and Perri (2009b), has been investigated through a simulation study.
AB - In this paper, we propose an empirical log-likelihood estimator for estimating the population mean of a sensitive variable in the presence of an auxiliary variable. A new concept of conditional mean squared error of the empirical likelihood estimator is introduced. The proposed method is valid for simple random and without replacement sampling (SRSWOR) and could easily be extended for complex survey designs. The relative efficiency of the proposed pseudo-empirical log-likelihood estimator with respect to the usual, and to a recent estimator due to Diana and Perri (2009b), has been investigated through a simulation study.
KW - Auxiliary information
KW - Randomized response sampling
KW - Sensitive variable
UR - http://www.scopus.com/inward/record.url?scp=78650595743&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=78650595743&partnerID=8YFLogxK
U2 - 10.1016/j.spl.2010.11.011
DO - 10.1016/j.spl.2010.11.011
M3 - Article
AN - SCOPUS:78650595743
VL - 81
SP - 345
EP - 351
JO - Statistics and Probability Letters
JF - Statistics and Probability Letters
SN - 0167-7152
IS - 3
ER -