On the normal record values and associated inference

In this note, we discuss the record values arising from a normal N(μ, δ2) distribution. After computing the means, variances and covariances of the record values, we determine the best linear unbiased estimators (BLUEs) of μ and δ based on the first n record values. Using these BLUEs, we then develop a prediction interval for a future record value and also propose a test for spuriosity of a current record value. Finally, we present an illustrative example to explain the inference procedures developed in this note.