On the Lindley Record Values and Associated Inference

Abstract

In this paper, we discuss the record values arising from the Lindley distribution. We compute the means, variances and covariances of the record values. These values are used to compute the best linear unbiased estimators (BLUEs) and the best linear invariant estimators (BLIEs) of the location and scale parameters. By using the BLUEs and BLIEs, we construct confidence intervals for the location and scale parameters through Monte Carlo simulations. Prediction for the future records is also discussed.

Keywords

• Best linear invariant estimators
• Best linear unbiased estimators
• Lindley distribution
• Double moments
• Pivotal quantity
• Prediction