Bayesian log-linear beta-negative binomial integer-valued Garch model

نویسندگان

چکیده

Abstract When dealing with time series outlying and atypical data, a commonly used approach is to develop models based on heavy-tailed distributions. The literature coping continuous-valued extreme observations well explored. However, current modelling integer-valued data heavy-tailedness less considered. state of the art research this topic presented by Gorgi (J R Stat Soc Ser B (Stat Methodol) 82:1325–1347, 2020) very recently, which introduced linear Beta-negative binomial generalized autoregressive conditional heteroscedastic (BNB-INGARCH) model. such proposed process allows for positive correlation only. This paper develops log-linear version BNB-INGARCH model, accommodates both negative serial correlations. Moreover, we adopt Bayesian inference better quantifying uncertainty unknown parameters. Due high computational demand, resort adaptive Markov chain Monte Carlo sampling schemes parameter estimations inferences. performance method evaluated via simulation study empirical applications.

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ژورنال

عنوان ژورنال: Computational Statistics

سال: 2023

ISSN: ['0943-4062', '1613-9658']

DOI: https://doi.org/10.1007/s00180-023-01386-w