In this paper, we consider the prediction problem in two-sample case and study the non-parametric predicting future progressively Type-II censored order statistics based on observed <InlineEquation ID="IEq3"> <EquationSource Format="TEX">$$k$$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <mi>k</mi> </math> </EquationSource> </InlineEquation>-records from the same distribution. Also, prediction intervals for progressively Type-II censored...</equationsource></equationsource></inlineequation>

According to the classic demographic transition theory, mortality change was the key factor triggering the decline of fertility. In a recent paper Reher and Sanz-Gimeno studied the mechanisms which played a role in this process with individual longitudinal data for the Spanish town of Aranjuez....