CHARACTERIZATION OF DISTRIBUTIONS BASED ON k-TH LOWER RECORD VALUES
We give new characterizations of negative exponential, negative Pareto and inverse power distribution in terms of k-th lower record values. The characterizations are based on properties of a measure of dependence called the pseudo-covariance.
k-th upper record values, k-th lower record values, covariance, characterization, linearity of regression, exponential distribution, power distribution, Pareto distribution.