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Journal of the Korean Statistical Society, ISSN 1226-3192, 2018, Volume 48, Issue 2, pp. 248 - 264
Integer-valued time series models and their applications have attracted a lot of attention over the last years. In this paper, we introduce a class of... 
Empirical likelihood | Random coefficient INAR models | Negative binomial thinning | Conditional least squares | EMPIRICAL LIKELIHOOD INFERENCE | MODELS | TIME-SERIES | STATISTICS & PROBABILITY
Journal Article
Mathematical and Computer Modelling, ISSN 0895-7177, 03/2012, Volume 55, Issue 5-6, pp. 1665 - 1672
Journal Article
Filomat, ISSN 0354-5180, 2017, Volume 31, Issue 13, pp. 4009 - 4022
In this article a geometrically distributed integer-valued autoregressive model of order one based on the mixed thinning operator is introduced. This new... 
Geometric marginal distribution | Negative binomial thinning | Binomial thinning | Mixed thinning INAR model | Mixed thinning operator | MARGINAL DISTRIBUTIONS | MIXTURES | MATHEMATICS | MATHEMATICS, APPLIED | MOVING-AVERAGE PROCESSES | VALUED AUTOREGRESSIVE PROCESSES | TIME-SERIES
Journal Article
Statistical Papers, ISSN 0932-5026, 2018, pp. 1 - 21
In this article, we propose a new seasonal geometric integer-valued autoregressive process based on the negative binomial thinning operator with seasonal... 
Estimate | Over-dispersion | Geometric distribution | Forecast | Negative binomial thinning operator | Seasonality | Economic models | Statistical analysis | Thinning | Asymptotic properties | Maximum likelihood estimators | Mathematical models | Regression analysis | Autoregressive processes
Journal Article
Statistics and Probability Letters, ISSN 0167-7152, 04/2012, Volume 82, Issue 4, pp. 805 - 811
In this paper, we introduce some mixed integer-valued autoregressive models of orders 1 and 2 with geometric marginal distributions, denoted by MGINAR(1) and... 
Geometric marginal distribution | Negative binomial thinning | Binomial thinning | INAR models | TIME-SERIES | STATISTICS & PROBABILITY
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 07/2008, Volume 54, Issue 7, pp. 3351 - 3353
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 2012, Volume 25, Issue 3, pp. 481 - 485
In this paper we introduce a simple bivariate integer-valued time series model with positively correlated geometric marginals based on the negative binomial... 
Bivariate integer-valued time series model | INAR model | Negative binomial thinning | MATHEMATICS, APPLIED | Correlation | Mathematical models | Thinning | Binomials | Least squares method | Time series
Journal Article
Australian & New Zealand Journal of Statistics, ISSN 1369-1473, 03/2017, Volume 59, Issue 1, pp. 137 - 150
Journal Article
Revstat Statistical Journal, ISSN 1645-6726, 07/2018, Volume 16, Issue 3, pp. 349 - 363
Journal Article
Journal of Time Series Analysis, ISSN 0143-9782, 11/2012, Volume 33, Issue 6, pp. 903 - 915
A mixed integer‐valued autoregressive model of order p is proposed. The existence of this unique, stationary and ergodic process is proved and its... 
Geometric marginal distribution | Negative binomial thinning | INAR(p) models | Binomial thinning | COUNTS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | STATISTICS & PROBABILITY | VARIATE TIME-SERIES | Analysis | Models | Universities and colleges
Journal Article
Journal of the Korean Statistical Society, ISSN 1226-3192, 06/2015, Volume 44, Issue 2, pp. 232 - 246
To model zero-inflated time series of counts, we propose a first-order mixed integer-valued autoregressive process with zero-inflated generalized power series... 
Negative binomial thinning | Binomial thinning | Generalized power series distribution | Zero inflation | ZIMINAR process | DISTRIBUTIONS | COUNTS | POISSON | TIME-SERIES | STATISTICS & PROBABILITY | Series | Research | Regression analysis | Mathematical research | Stochastic processes | 통계학
Journal Article
Journal of Statistical Planning and Inference, ISSN 0378-3758, 2009, Volume 139, Issue 7, pp. 2218 - 2226
A new stationary first-order integer-valued autoregressive process with geometric marginal distributions is introduced based on negative binomial thinning.... 
Probability generating function | NGINAR process | Negative binomial thinning | Spectral density | Estimation | MOVING-AVERAGE PROCESSES | TIME-SERIES | STATISTICS & PROBABILITY | Universities and colleges
Journal Article
Journal of Statistical Planning and Inference, ISSN 0378-3758, 2010, Volume 140, Issue 7, pp. 1874 - 1888
The study of count data time series has been active in the past decade, mainly in theory and model construction. There are different ways to construct time... 
Generalized discrete self-decomposability | Autoregressive | Negative binomial time series | Self-generalizability | Binomial thinning | Inversion of characteristic function | BRANCHING-PROCESSES | SELF-DECOMPOSABILITY | STABILITY | STATISTICS & PROBABILITY | MARKOV-PROCESSES | DISTRIBUTIONS | COUNTS
Journal Article
REVSTAT-STATISTICAL JOURNAL, ISSN 1645-6726, 01/2019, Volume 17, Issue 1, pp. 35 - 65
Two different random environment INAR models of higher order, RrNGINARmax(p) and RrNGINAR(1) (p), are introduced. Both of them are of variable order, which is... 
INAR(p) | negative binomial thinning | MOVING-AVERAGE PROCESSES | RrNGINAR | random environment | geometric marginals | TIME-SERIES | STATISTICS & PROBABILITY
Journal Article
by Cui, Y and Wang, YY
ADVANCES IN DIFFERENCE EQUATIONS, ISSN 1687-1847, 12/2019, Volume 2019, Issue 1, pp. 1 - 16
A first-order random coefficient integer-valued autoregressive model based on the negative binomial thinning operator under r states random environment is... 
MATHEMATICS | Integer-valued autoregressive | Yule-Walker estimation | MATHEMATICS, APPLIED | Random environment | Random coefficient | Negative binomial thinning | Integers | Parameter estimation | Random walk theory | Autoregressive models | Computer simulation | Estimators | Yule–Walker estimation
Journal Article
Journal of Time Series Analysis, ISSN 0143-9782, 03/2016, Volume 37, Issue 2, pp. 267 - 287
An r states random environment integer‐valued autoregressive process of order 1, RrINAR(1), is introduced. Also, a random environment process is separately... 
negative binomial thinning | INAR | RrNGINAR | JEL. 62M10 | random environment | geometric marginals | Random environment | Geometric marginals | Negative binomial thinning | MOVING-AVERAGE PROCESSES | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MODELS | TIME-SERIES | STATISTICS & PROBABILITY | Studies | Normal distribution | Mathematical analysis | Time series
Journal Article
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