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Time Series of Counts under Censoring: A Bayesian Approach [PDF]
Censored data are frequently found in diverse fields including environmental monitoring, medicine, economics and social sciences. Censoring occurs when observations are available only for a restricted range, e.g., due to a detection limit.
Isabel Silva +3 more
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Change Point Test for the Conditional Mean of Time Series of Counts Based on Support Vector Regression [PDF]
This study considers support vector regression (SVR) and twin SVR (TSVR) for the time series of counts, wherein the hyper parameters are tuned using the particle swarm optimization (PSO) method.
Sangyeol Lee, Sangjo Lee
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Goodness–of–Fit Tests for Bivariate Time Series of Counts
This article considers goodness-of-fit tests for bivariate INAR and bivariate Poisson autoregression models. The test statistics are based on an L2-type distance between two estimators of the probability generating function of the observations: one being
Šárka Hudecová +2 more
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Monitoring the Zero-Inflated Time Series Model of Counts with Random Coefficient
In this research, we consider monitoring mean and correlation changes from zero-inflated autocorrelated count data based on the integer-valued time series model with random survival rate.
Cong Li, Shuai Cui, Dehui Wang
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In this article, we propose a modified multiplicative thinning-based integer-valued autoregressive conditional heteroscedasticity model and use the saddlepoint maximum likelihood estimation (SPMLE) method to estimate parameters.
Yue Xu, Qi Li, Fukang Zhu
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A New Bivariate INAR(1) Model with Time-Dependent Innovation Vectors
Recently, there has been a growing interest in integer-valued time series models, especially in multivariate models. Motivated by the diversity of the infinite-patch metapopulation models, we propose an extension to the popular bivariate INAR(1) model ...
Huaping Chen, Fukang Zhu, Xiufang Liu
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In this study, we consider an online monitoring procedure to detect a parameter change for integer-valued generalized autoregressive heteroscedastic (INGARCH) models whose conditional density of present observations over past information follows one ...
Sangyeol Lee, Dongwon Kim
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Two-Threshold-Variable Integer-Valued Autoregressive Model
In the past, most threshold models considered a single threshold variable. However, for some practical applications, models with two threshold variables may be needed. In this paper, we propose a two-threshold-variable integer-valued autoregressive model
Jiayue Zhang, Fukang Zhu, Huaping Chen
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A New Extension of Thinning-Based Integer-Valued Autoregressive Models for Count Data
The thinning operators play an important role in the analysis of integer-valued autoregressive models, and the most widely used is the binomial thinning.
Zhengwei Liu, Fukang Zhu
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We developed two models for real-time monitoring and forecasting of the evolution of the COVID-19 pandemic: a non-linear regression model and an error correction model.
Beatriz González-Pérez +4 more
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