Statistical inference based on k-records

In this paper, an extension of record models, well known as k-records, is considered. Bayesian estimation as well as prediction based on k-records are presented when the underlying distribution is assumed to have a general form. The proposed procedure is applied to the Exponential, Weibull and Pareto models in one parameter case. Also, the two-parameter Exponential distribution, when both parameters are unknown, is studied in more details.Since the ordinary record values are contained in the k-records, by putting k = 1, the results for usual records can be obtained as special case.

Keywords:

Admissibility , Bayes prediction , Bayesian estimation , conjugate prior , weibull distribution