We study the estimation of two-type continuous-state branching processes with immigration (CBI-processes). The ergodicity of the processes is proved. We also establish the strong consistency and central limit theorems of the conditional least squares estimators and the weighted conditional least squares estimators of the drift and diffusion coefficients based on low frequency observations.
Central Limit Theorems on Compact Metric Spaces
Variance asymptotics and central limit theorems for generalized growth processes with applications to convex hulls and maximal points
Central limit theorems for generalized descents and generalized inversions in finite root systems
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