In this paper, the effect of fuzzy time series on estimates spectral, bispectral and normalized density functions are studied. This study is conducted for one integer autoregressive order (INAR(1)) models. The model interest here dependent counting geometric INAR(1) which symbolized by (DCGINAR(1)). A realization generated size n = 500 estimation. Based series, forecasted observations obtained....

• This work considers a generalization of the INAR(1) model to the panel data first order Seemingly Unrelated INteger AutoRegressive Poisson model, SUINAR(1). It presents Bayesian and classical methodologies to estimate the parameters of Poisson SUINAR(1) model and to forecast future observations of the process. In particular, prediction intervals for forecasts — classical approach — and HPD pr...

We introduce noncausal counting processes, defined by time-reversing an INAR(1) process, a non-INAR(1) Markov affine or random coefficient [RCINAR(1)] process. The processes are shown to be generically time irreversible and their calendar dynamic properties unreplicable existing causal models. In particular, they allow for locally bubble-like explosion, while at the same preserving stationarity...

KEY POINTS Auditory brainstem neurons of all vertebrates fire phase-locked action potentials (APs) at high rates with remarkable fidelity, a process controlled by specialized anatomical and biophysical properties. This is especially true in the avian nucleus magnocellularis (NM) - the analogue of the mammalian anteroventral cochlear nucleus. In addition to high voltage-activated potassium (KHVA...

In this paper the asymptotic behavior of an unstable integer-valued autoregressive model of order p (INAR(p)) is described. Under a natural assumption it is proved that the sequence of appropriately scaled random step functions formed from an unstable INAR(p) process converges weakly towards a squared Bessel process. We note that this limit behavior is quite different from that of familiar unst...

The resurgent component of voltage-gated Na+ (Nav) currents, INaR, has been suggested to provide the depolarizing drive for high-frequency firing and to be generated by voltage-dependent Nav channel block (at depolarized potentials) and unblock (at hyperpolarized potentials) by the accessory Navβ4 subunit. To test these hypotheses, we examined the effects of the targeted deletion of Scn4b (Navβ...