@article{oai:soar-ir.repo.nii.ac.jp:00012052, author = {INOUE, Kazuyuki}, issue = {2}, journal = {信州大学理学部紀要}, month = {Mar}, note = {This is the extended exposition of the previous paper [2]. Given an infinitely divisible (or ID) random measure A on a measurable space T, we provide a certain method to construct a version of A based on a Poisson random measure on the product space S = T×(R\{0}). In particular, the present paper contains a new result about a class of ID random measures on T which are realized by R-valued signed measures on T. As an application we discuss the law equivalence of ID random measures on T by using our constructive method with Kakutani's theorem on the equivalence of infinite product probability measures., Article, 信州大学理学部紀要 31(2): 71-80(1997)}, pages = {71--80}, title = {Equivalence of Probability Laws for a Class of Infinitely Divisible Random Measures}, volume = {31}, year = {1997} }