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Considered are modifications of a rank test of randomness for the one- and multi-dimensional regular design cases as well as for the one- and multi-dimensional random design cases. The null hypothesis is that all observations are independent and identically distributed. The main result is the...
A precise definition of a fractalF
1 derived from Pascal's triangle modulop
(p prime) is given. The number of nonzero terms in the firstp
lines of Pascal's triangle modulop
is computed. From this result the Hausdorff dimension and Hausdorff measure ofF
1 are deduced. The...
The aim of this paper is to extend some fundamental and applied results of the theory of linear recurring sequences over fields to the case of polylinear recurring sequences over rings and modules. Quasi-Frobenius modules and Galois rings play a very special role in this project.
This paper deals with discrete-time Markov control processes withBorel state and control spaces, with possiblyunbounded costs andnoncompact control constraint sets, and the average cost criterion. Conditions are given for the convergence of the value iteration algorithm to the optimal average...
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