Tzavelas, George; Economou, Polychronis - In: Statistics & Probability Letters 84 (2014) C, pp. 54-59
The Fisher information on θ of the r-size weighted pdf fr(x;θ) and its parent pdf f(x;θ) are compared leading to some characterization properties for f(x;θ). Additionally, some bounds for the Fisher information in terms of r are also presented.