Estimation and prediction based on k-record values from normal distribution

Abstract

In this paper, we introduce the k-record values arising from normal distribution. After computing the means, variances and covariances of the k-record values, we determine the best linear unbiased estimators for the location and scale parameters of normal distribution based on k-record values. The best linear unbiased predictor of future k-record values is also determined. Finally, a real data is given to illustrate the inference procedures developed in this paper.

Keywords

• k-record values
• normal distribution
• best linear unbiased estimation
• best linear unbiased prediction