A seasonal geometric INAR process based on negative binomial thinning operator

DOI10.1007/s00362-018-1060-7zbMath1467.62150OpenAlexW2901528879WikidataQ128935363 ScholiaQ128935363MaRDI QIDQ2029220

De-Hui Wang, Shengqi Tian, Shuai Cui

Publication date: 3 June 2021

Published in: Statistical Papers (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00362-018-1060-7

zbMATH Keywords

forecastseasonalityestimategeometric distributionover-dispersionannual sunspot relative numbernegative binomial thinning operatorpolio incidence counts

Mathematics Subject Classification ID

Inference from stochastic processes and prediction (62M20) Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Applications of statistics to biology and medical sciences; meta analysis (62P10) Applications of statistics to physics (62P35) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Statistical astronomy (85A35)

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Cites Work

• Some autoregressive moving average processes with generalized Poisson marginal distributions
• The combined \(\mathrm{INAR}(p)\) models for time series of counts
• A new geometric first-order integer-valued autoregressive (NGINAR(1)) process
• Data. A collection of problems from many fields for the student and research worker
• Discrete analogues of self-decomposability and stability
• Useful models for time series of counts or simply wrong ones?
• A combined geometric \(INAR(p)\) model based on negative binomial thinning
• Thinning operations for modeling time series of counts -- a survey
• Integer-valued autoregressive processes with periodic structure
• Modeling time series of counts with a new class of INAR(1) model
• First-order random coefficient integer-valued autoregressive processes
• Random environment integer-valued autoregressive process
• THE INTEGER-VALUED AUTOREGRESSIVE (INAR(p)) MODEL
• Inference for pth-order random coefficient integer-valued autoregressive processes
• Modelling Count Data Time Series with Markov Processes Based on Binomial Thinning
• An integer-valued pth-order autoregressive structure (INAR(p)) process
• Autoregressive moving-average processes with negative-binomial and geometric marginal distributions
• First-Order Integer-Valued Autoregressive (INAR (1)) Process: Distributional and Regression Properties
• A regression model for time series of counts
• Integer-valued moving average (INMA) process
• First order autoregressive time series with negative binomial and geometric marginals
• Explicit stationary distributions for some galton-watson processes with immigration
• Analysis of low count time series data by poisson autoregression
• Time series models with univariate margins in the convolution-closed infinitely divisible class
• FIRST-ORDER INTEGER-VALUED AUTOREGRESSIVE (INAR(1)) PROCESS
• A Poisson INAR(1) process with a seasonal structure