Extended binomial AR(1) processes with generalized binomial thinning operator

DOI10.1080/03610926.2019.1589519OpenAlexW2945686883WikidataQ127799136 ScholiaQ127799136MaRDI QIDQ5077435

Yao Kang, Kai Yang, De-Hui Wang

Publication date: 18 May 2022

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2019.1589519

zbMATH Keywords

parameter estimationbinomial AR(1) processesdependent counting seriesgeneralized binomial thinning operator

Mathematics Subject Classification ID

Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Statistics (62-XX) Diagnostics, and linear inference and regression (62J20)

Related Items (5)

A nonparametric Bayesian analysis for meningococcal disease counts based on integer-valued threshold time series models ⋮ A study of binomial AR(1) process with an alternative generalized binomial thinning operator ⋮ Analysis of zero-and-one inflated bounded count time series with applications to climate and crime data ⋮ On binomial thinning and mixing ⋮ Statistical inference for the covariates-driven binomial AR(1) process

Cites Work

• Unnamed Item
• A geometric time series model with inflated-parameter Bernoulli counting series
• Inference in binomial AR(1) models
• Jumps in binomial AR(1) processes
• Time series of count data: Modeling, estimation and diagnostics
• A new geometric first-order integer-valued autoregressive (NGINAR(1)) process
• Inference for INAR\((p)\) processes with signed generalized power series thinning operator
• Discrete analogues of self-decomposability and stability
• A skew INAR(1) process on \(\mathbb {Z}\)
• Self-exciting threshold binomial autoregressive processes
• Modeling zero inflation in count data time series with bounded support
• An \(\mathrm{INAR}(1)\) process for modeling count time series with equidispersion, underdispersion and overdispersion
• Thinning operations for modeling time series of counts -- a survey
• Parameter estimation for binomial \(\mathrm{AR}(1)\) models with applications in finance and industry
• First-order random coefficient integer-valued autoregressive processes
• Bivariate binomial autoregressive models
• A geometric time series model with dependent Bernoulli counting series
• BINOMIAL AUTOREGRESSIVE PROCESSES WITH DENSITY-DEPENDENT THINNING
• Monitoring correlated processes with binomial marginals
• The INARCH(1) Model for Overdispersed Time Series of Counts
• Threshold autoregression analysis for finite-range time series of counts with an application on measles data
• Goodness-of-fit tests for binomial AR(1) processes
• Binomial AR(1) processes: moments, cumulants, and estimation
• The Lindeberg-Levy Theorem for Martingales
• A generalised NGINAR(1) process with inflated‐parameter geometric counting series

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