activity
20182023
most citedPartial autocorrelation parameterisation of models with unit roots on the unit circle

1 citations · 3 across the 7 of their papers we have counts for

collaborators

7 papers

stat.ME2023

A Multi-Companion Method to Periodically Integrated Autoregressive Models

Yueyun Zhu, Georgi N. Boshnakov

There has been an enormous interest in analysing and modelling periodic time series. The research on periodically integrated autoregressive (PIAR) models which capture the periodic…

stat.ME2022★ 1 cited

Partial autocorrelation parameterisation of models with unit roots on the unit circle

Jamie Halliday, Georgi N. Boshnakov

We propose a parametrization of autoregressive unit roots ARMA models (ARUMA) with partial autocorrelation coefficients to specify the autoregressive and integrated part of the mod…

stat.ME2021

Bayesian mixture autoregressive model with Student's t innovations

Davide Ravagli, Georgi N. Boshnakov

This paper introduces a fully Bayesian analysis of mixture autoregressive models with Student t components. With the capacity of capturing the behaviour in the tails of the distrib…

stat.ME2021

A signed power transformation with application to white noise testing

Georgi N. Boshnakov, Davide Ravagli

We show that signed power transforms of some ARCH-type processes give ARCH-type processes. The class of ARCH-type models for which this property holds contains many common ARCH and…

stat.ME2020

Bayesian analysis of mixture autoregressive models covering the complete parameter space

Davide Ravagli, Georgi N. Boshnakov

Mixture autoregressive (MAR) models provide a flexible way to model time series with predictive distributions which depend on the recent history of the process and are able to acco…

stat.ME2020★ 1 cited

Portfolio optimization with mixture vector autoregressive models

Davide Ravagli, Georgi N. Boshnakov

Obtaining reliable estimates of conditional covariance matrices is an important task of heteroskedastic multivariate time series. In portfolio optimization and financial risk manag…

stat.ME2018★ 1 cited

PoARX Modelling for Multivariate Count Time Series

Jamie Halliday, Georgi N. Boshnakov

This paper introduces multivariate Poisson autoregressive models with exogenous covariates (PoARX) for modelling multivariate time series of counts. We obtain conditions for the Po…