Noise-indicator nonnegative integer-valued autoregressive time series of the first order
Само за регистроване кориснике
2018
Чланак у часопису (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
This paper presents a modification and, at the same time, a generalization of the linear first order nonnegative integer-valued autoregressive processes, well-known as INAR(1) processes. By using the so-called Noise-Indicator, a nonlinear model with the threshold regime and with more complex structure than the appropriate linear models was obtained. The new model, named NIINAR(1) process, has been investigated in terms of the most general, the power series distribution of its innovations. Basic stochastic properties of the NIINAR(1) model (e.g., correlation structure, over-dispersion conditions and distributional properties) are given. Also, besides of some standard parameters estimators, a novel estimation techniques, together with the asymptotic properties of the obtained estimates is described. At last, a Monte Carlo study of this process is also given, as well as its application in the analysis of dynamics of two empirical dataset.
Кључне речи:
Noise-indicator / power series distribution / NIINAR(1) process / parameters estimationИзвор:
Brazilian journal of probability and statistics, 2018, 32, 1, 147-171Издавач:
- Brazilian Statistical Association, Sao Paulo
Финансирање / пројекти:
- Нове информационе технологије за аналитичко одлучивање базиране на организацији експеримента и опсервацији и њихова примена у биолошким, економским и социолошким системима (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-44007)
- Интердисциплинарно истраживање културног и језичког наслеђа Србије. Израда мултимедијалног интернет портала ""Појмовник српске културе"" (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-47016)
DOI: 10.1214/16-BJPS335
ISSN: 0103-0752
WoS: 000427678700007
Scopus: 2-s2.0-85045530235
Институција/група
JakovTY - JOUR AU - Stojanović, Vladica AU - Ranđelović, Dragan AU - Kuk, Kristijan PY - 2018 UR - http://jakov.kpu.edu.rs/handle/123456789/846 AB - This paper presents a modification and, at the same time, a generalization of the linear first order nonnegative integer-valued autoregressive processes, well-known as INAR(1) processes. By using the so-called Noise-Indicator, a nonlinear model with the threshold regime and with more complex structure than the appropriate linear models was obtained. The new model, named NIINAR(1) process, has been investigated in terms of the most general, the power series distribution of its innovations. Basic stochastic properties of the NIINAR(1) model (e.g., correlation structure, over-dispersion conditions and distributional properties) are given. Also, besides of some standard parameters estimators, a novel estimation techniques, together with the asymptotic properties of the obtained estimates is described. At last, a Monte Carlo study of this process is also given, as well as its application in the analysis of dynamics of two empirical dataset. PB - Brazilian Statistical Association, Sao Paulo T2 - Brazilian journal of probability and statistics T1 - Noise-indicator nonnegative integer-valued autoregressive time series of the first order VL - 32 IS - 1 SP - 147 EP - 171 DO - 10.1214/16-BJPS335 ER -
@article{ author = "Stojanović, Vladica and Ranđelović, Dragan and Kuk, Kristijan", year = "2018", abstract = "This paper presents a modification and, at the same time, a generalization of the linear first order nonnegative integer-valued autoregressive processes, well-known as INAR(1) processes. By using the so-called Noise-Indicator, a nonlinear model with the threshold regime and with more complex structure than the appropriate linear models was obtained. The new model, named NIINAR(1) process, has been investigated in terms of the most general, the power series distribution of its innovations. Basic stochastic properties of the NIINAR(1) model (e.g., correlation structure, over-dispersion conditions and distributional properties) are given. Also, besides of some standard parameters estimators, a novel estimation techniques, together with the asymptotic properties of the obtained estimates is described. At last, a Monte Carlo study of this process is also given, as well as its application in the analysis of dynamics of two empirical dataset.", publisher = "Brazilian Statistical Association, Sao Paulo", journal = "Brazilian journal of probability and statistics", title = "Noise-indicator nonnegative integer-valued autoregressive time series of the first order", volume = "32", number = "1", pages = "147-171", doi = "10.1214/16-BJPS335" }
Stojanović, V., Ranđelović, D.,& Kuk, K.. (2018). Noise-indicator nonnegative integer-valued autoregressive time series of the first order. in Brazilian journal of probability and statistics Brazilian Statistical Association, Sao Paulo., 32(1), 147-171. https://doi.org/10.1214/16-BJPS335
Stojanović V, Ranđelović D, Kuk K. Noise-indicator nonnegative integer-valued autoregressive time series of the first order. in Brazilian journal of probability and statistics. 2018;32(1):147-171. doi:10.1214/16-BJPS335 .
Stojanović, Vladica, Ranđelović, Dragan, Kuk, Kristijan, "Noise-indicator nonnegative integer-valued autoregressive time series of the first order" in Brazilian journal of probability and statistics, 32, no. 1 (2018):147-171, https://doi.org/10.1214/16-BJPS335 . .