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Testing change in the variance with epidemic alternatives
Authors:F. Graiche  D. Merabet
Affiliation:Department of Mathematics, University M. Mammeri, Tizi-Ouzou, Algeria
Abstract:ABSTRACT

In this paper we consider the dyadic increments statistics (of type DI) based on independent not identically distributed or α-mixing random variables. We obtain their limit distributions under the null hypothesis and we present application for testing epidemic change in the variance in each case. Finally, numerical simulations are done to illustrate these results.
Keywords:Change point  Epidemic alternative  Hölder space  Partial sums processes
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