In this paper we investigate bootstrap techniques applied to the estimation of the thinning parameters in INAR(p) models. We propose a new bootstrap approach based on sieve bootstrap. The approach is then applied to the Yule-Walker estimator of the thinning parameters. Monte Carlo experiments are carried out to valuate the performance of bootstrap estimator and the superiority of our proposal i...

Abstract Science diplomacy can be defined as “the use of scientific collaborations between countries to address joint problems and build constructive international partnerships for delivering effective advice policy making”. During the last 10 years, Institute Atmospheric Earth System Research (INAR) has been active in finding ways solve global Grand Challenges, particularly climate change poor...

In this article, we introduce a multiplicative integer-valued time series model, which is defined as the product of unit-mean independent and identically distributed (i.i.d.) sequence, an dependent process. The latter binomial thinning operation its own past observed Furthermore, it combines some features GARCH (INGARCH), autoregressive conditional duration (ACD), integer autoregression (INAR) ...

In this paper, we introduce a new (combined) integer-valued autoregressive model of order p with geometric marginal distributions, denoted by CGINAR(p), using the negative binomial thinning introduced by Ristić et al. [19]. Several properties of the model are constructed and discussed, including one-step ahead conditional statistical measures. Some methods for estimating the model parameters ar...

Bologna Process studies in Çankaya University’s Interior Architecture Department (INAR), Turkey have been initiated in 2008. The goal of this study is to explore students’ perceptions about the new programme outcomes framed with the Turkish Higher Education Qualifications Framework and to provide a set of guidelines for the Bologna Process to be implemented. A questionnaire including semi-struc...

The impact of weather conditions on traffic safety is a topic that has attracted considerable interest in the literature. In this research, an integer autoregressive model (INAR) is used to estimate the effects of weather conditions on four traffic safety categories: vehicle accidents, vehicle fatalities, pedestrian accidents and pedestrian fatalities, using 21 years of daily count data for Ath...

We study the problem of using sorters of k vabxes to form large sorting and merging networks. For n an integral power of k, we show how to merge k sorted vectors of length n/k each using 4 log, n 3 layers of k-sorters and 4 log* n 5 layers of k=ittiqut binary mergers. As a result, we show how to sort R v&es using 2 iag$ n -log, n layers of k-sorters and 2 logf n 3 fog& n * I fayers of k-input l...