Characterizations Using Entropies of Records in a Geometric Random Record Model

Suppose that a geometrically distributed number of observations are available from an absolutely continuous distribution function f, within this set of observations denote the random number of records by m. this is called geometric random record model. in this paper, characterizations of f are provided in terms of the subsequences entropies of records conditional on events {m ≥ n} or {m = n} in a geometric random record model. characterization results for symmetric distributions are also presented based on entropies of upper and lower records in a random record model.