THE CRITERION FOR UNIQUENESS OF A Q PROCESS
摘要
In the sphere of science and technique, it is well known that the Markov process has been considerably utilized. However, as to the Markov process, often met in practical work, it is easy to find out the density matrix Q, but not P_(ij)(t) itself. Since the Great Proletarian Cultural Revolution, we have gone out of the school gate and come to the practical field of railroads; we have thus gained the same experience and impression in practical work. Hence, the problem, whether Q can uniquely determine a process or not, has a very significant meaning, both in theory and practice. And this is the very problem which is going to be proved in this paper and be answered by Theorem 1.1.In the last part of this paper, Theorem 1.1 is applied to several special Q matrices in order to illustrate that the criterion suggested in this paper is considerably efficient.The result of the paper has already been premised in [11]. Here we shall only give the proof.