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Geometric ergodicity of the multivariate COGARCH(1,1) process

Geometric ergodicity of the multivariate COGARCH(1,1) process

For the multivariate COGARCH(1,1) volatility process we show sufficient conditions for the existence of a unique stationary distribution, for the geometric ergodicity and for the finiteness of moments of the stationary distribution by a Foster-Lyapunov drift condition approach. The test functions used are naturally related to the geometry of the …