Runs Based on Records: Their Distributional Properties and an Application to Testing for Dispersive Ordering |
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| Authors: | Narayanaswamy Balakrishnan Alexei Stepanov |
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| Institution: | 1. Department of Mathematics and Statistics, McMaster University, 1280 Main Street West, Hamilton, Ontario, Canada, L8S 4K1
2. Department of Mathematics, Izmir University of Economics, 35330, Balcova, Izmir, Turkey
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| Abstract: | Here, we study runs associated with record values. After we first discuss the distributions and moments of runs, we develop the asymptotic theory of these runs. Finally, we apply the concept of runs obtained from record values to a hypothesis testing problem. |
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