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A multiple optimal stopping rule for sums of independent random variables
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December 10, 2007
We consider multiple optimal stopping rules for a finite (with horizon N) sequence of independent random variables. We are interested in finding a stopping rule which maximises the expected sum of k, 1 < k < N, observations. The optimal stopping rule and the value of the game are obtained. This result can be applied in the house-selling problem and in behavioural ecology problems.
Received: 2007-March-14
Published Online: 2007-12-10
Published in Print: 2007-12-11
© de Gruyter
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Articles in the same Issue
- The limit distribution of the size of a giant component in an Internet-type random graph
- On conditions for emergence of a giant tree in a random unlabelled forest
- On the transition of distributions of sums of random variables related to the generalised allocation scheme from one lattice to another
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- The cycle structure of a random nonhomogeneous hypergraph on the subcritical stage of evolution
- On the structure of the set of reversible cellular automata
- On-line algorithms for packing rectangles into several strips
- An enhanced algorithm to search for low-degree annihilators for a Zhegalkin polynomial
