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IMBEDDED PROCESS

Statistics Directorate    
Definition:
A stochastic process in continuous time is observed only at the time points where a change of state occurs. These points of discontinuity can be thought of as forming a new discrete time variable.

A new stochastic process can be derived by defining the state of the process at time n to be that immediately following the nth transition in the old process. The new process in discrete time is said to be “imbedded” in the old process in continuous time.

Source Publication:
A Dictionary of Statistical Terms, 5th edition, prepared for the International Statistical Institute by F.H.C. Marriott. Published for the International Statistical Institute by Longman Scientific and Technical.

Statistical Theme: Methodological information (metadata)

Created on Sunday, May 19, 2002

Last updated on Wednesday, March 05, 2003