On Generalized Lower(k)record Values from the Fréchet Distribution

Abstract

In this paper we study the generalized lower(k)record values arising from the Fréchet distribution. Expressions for the moments and product moments of those generalized lower(k)record values are derived. Some properties of generalized lower(k) record values which characterize the Fréchet distribution have been established. Also some distributional properties of generalized lower(k)record values arising from the Fréchet distribution are considered and used for suggesting an estimator for the shape parameter of the Fréchet distribution. The location and scale parameters are estimated using the Best Linear Unbiased Estimation procedure. Prediction of a future record using the Best Linear Unbiased Predictor has been studied. A real life data set is used to illustrate the results generated in this work.