Arnott, Robert John
This thesis is conerned with the extension of the classical
theory of martingales of real random variables as contained in Doob 
to the abstract theory of martingales of random variables whose values
lie in a real Banach space. Extensions of almost all the convergence
theorems in  for discrete parameter martingales can be found in Chatterji
 and , Scalora , Tulcea and Tulcea , and Driml and Hans .
In addition to extending the existing theory this thesis also...[Show more]
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