ABSTRACT
This chapter focuses on the description and characterization of processes rather than on the derivation of properties, which tends to be either fairly routine or extremely difficult. Multivariate point processes have a long history expecially in connection with applications in physics. Just as for univariate point processes, it is necessary to consider various choices of time origin for the process. M. Berman introduced a general family of regenerative point processes. Berman, D. J. Daley and R. K. Milne and T. K. M. Wisniewski have examined Palm-Khintchine relations for multivariate point processes. Marked point processes are strongly emphasized by K. Matthes, J. Kerstan and J. Mecke. Just as for univariate point processes, it is necessary to consider various choices of time origin for the process. A recurring theme in dealing both with general theory and also with special processes is the interplay between different methods of specification.
