摘要
ＡＳＹＭＰＴＯＴＩＣＡＬＬＹＥＦＦＩＣＩＥＮＴＥＳＴＩＭＡＴＥＳＩＮＡＳＹＳＴＥＭＴＲＥＥＤＡＩＭｉｎｇ（ＤｅｐａｒｔｍｅｎｔｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓＢｅｉｊｉｎｇｉｎｓｔｉｔｕｔｅｏｆＴｅｃｈｎｏｌｏｇｙ，Ｂｅｉｊｉｎｇ，１０００８...
In this paper, we use the virtual system method to estimate the parametersin a system tree and obtain a series of asymptotically efficient estimates of the interestingparameters. Section 1 is an introduction to the virtual system method, and in Section 2,we extend the virtual system method to estimate the parameters of the last generationsubsystems of some subsystem tree. In Section 3, we use the results of Section 2 to someexamples. And the proof is in Section 4.
