Data Squashing by Empirical Likelihood
Data Mining and Knowledge Discovery
Journal of Multivariate Analysis
Shell-neighbor method and its application in missing data imputation
Applied Intelligence
Estimating Semi-Parametric Missing Values with Iterative Imputation
International Journal of Data Warehousing and Mining
Decision Rule Extraction for Regularized Multiple Criteria Linear Programming Model
International Journal of Data Warehousing and Mining
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The k-nearest neighbor kNN imputation, as one of the most important research topics in incomplete data discovery, has been developed with great successes on industrial data. However, it is difficult to obtain a mathematical valid and simple procedure to construct confidence intervals for evaluating the imputed data. This paper studies a new estimation for missing or incomplete data that is a combination of the kNN imputation and bootstrap calibrated EL Empirical Likelihood. The combination not only releases the burden of seeking a mathematical valid asymptotic theory for the kNN imputation, but also inherits the advantages of the EL method compared to the normal approximation method. Simulation results demonstrate that the bootstrap calibrated EL method performs quite well in estimating confidence intervals for the imputed data with kNN imputation method.