A pseudo-empirical log-likelihood estimator using scrambled responses

Sarjinder Singh, Jong Min Kim

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)345-351
Number of pages7
JournalStatistics and Probability Letters
Volume81
Issue number3
DOIs
StatePublished - Mar 2011

Keywords

  • Auxiliary information
  • Randomized response sampling
  • Sensitive variable

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