Summary. This note reconsiders the nonnegative integer-valued bilinear processes introduced by Doukhan, Latour, and Oraichi (2006). Using a hidden Markov argument, we extend their result of the existence of a stationary solution for the INBL(1,0,1,1) process to the class of superdiagonal INBL(p;...

This paper considers integer-valued autoregressive processes where the autoregression parameter is close to unity. We consider the asymptotics of this 'near unit root' situation. The local asymptotic structure of the likelihood ratios of the model is obtained, showing that the limit experiment...

Integer-valued autoregressive (INAR) processes have been introduced to model nonnegative integervalued phenomena that evolve in time.The distribution of an INAR(p) process is determined by two parameters: a vector of survival probabilities and a probability distribution on the nonnegative...

This paper considers panels with cross-sectional dependence generated by dynamic common factors as introduced by Bai and Ng (2004, 2010) and known as the PANIC framework. Using limit experiment theory, we derive the (asymptotic) power envelope for testing for unit roots in the PANIC framework....

Integer-valued auto-regressive (INAR) processes have been introduced to model non-negative integer-valued phenomena that evolve over time. The distribution of an INAR("p") process is essentially described by two parameters: a vector of auto-regression coefficients and a probability distribution...

Integer-valued autoregressive (INAR) processes have been introduced to model non-negative integer-valued phenomena that evolve in time. The distribution of an INAR(p) process is determined by two parameters: a vector of survival probabilities and a probability distribution on the non-negative...