Least Squares and Moments Estimation for Gumbel AR(1) Model

Flood emerges when water level exceeds the river walls. Insurance companies have troubles when claims exceeds the amount they can afford. The extreme events usually come along with serious consequences. Even if the prediction of disaster can be made half hour earlier, huge loss can be saved. The statistical analysis of extreme values has been focused on independent model. This paper provided an estimation and simulation methods of a dependent statistical extreme values.