Trend-Transformed Independent Vectors

C. Sanguesa, F. G. Badía Blasco, S. Mercier

In this work we define which will be called trend-transformed independent vectors. Those vectors will allow treating, in a unified way, many different models in the literature, such as the vector of arrival times in extended Polya processes, in trend renewal processes, as well as sequential order statistics or intermediate order statistics. Stochastic comparisons in different multivariate orders are provided.

Keywords: Polya process trend renewal process sequential order statistics stochastic comparison

J. Mulero, J. Navarro

N. Torrado

A. Suárez Llorens, M. Sánchez Sánchez, M. Á. Sordo Díaz, E. Gómez Déniz