Statistica Sinica 11(2001), 39-52
Abstract: A complete characterization of the family of distributions with linearity of regression for future non-adjacent weak records with spacing equal to two is given. Also, in the adjacent case, weak-record versions of some known characterization results for regular records are presented.
Key words and phrases: Beta-negative binomial distribution, difference equations, geometric distribution, linearity of regression, negative hypergeometric distribution, weak records.