Logo
Munich Personal RePEc Archive

Count and duration time series with equal conditional stochastic and mean orders

Aknouche, Abdelhakim and Francq, Christian (2018): Count and duration time series with equal conditional stochastic and mean orders.

Warning
There is a more recent version of this item available.
[thumbnail of MPRA_paper_90838.pdf] PDF
MPRA_paper_90838.pdf

Download (357kB)

Abstract

We consider a positive-valued time series whose conditional distribution has a time-varying mean, which may depend on exogenous variables. The main applications concern count or duration data. Under a contraction condition on the mean function, it is shown that stationarity and ergodicity hold when the mean and stochastic orders of the conditional distribution are the same. The latter condition holds for the exponential family parametrized by the mean, but also for many other distributions. We also provide conditions for the existence of marginal moments and for the geometric decay of the beta-mixing coefficients. Simulation experiments and illustrations on series of stock market volumes and of greenhouse gas concentrations show that the multiplicative-error form of usual duration models deserves to be relaxed, as allowed in the present paper.

Available Versions of this Item

Atom RSS 1.0 RSS 2.0

Contact us: mpra@ub.uni-muenchen.de

This repository has been built using EPrints software.

MPRA is a RePEc service hosted by Logo of the University Library LMU Munich.