Abstract
The stationarity of time series is often reached through the transformation of the observed data. When the analysis of the series is carried out automatically using implemented softwares, it is needed to define some indicators which alerts the system about the non stationarity of the data and leads to right transformations. In this context, the present paper proposes an indicator which detects the heteroskedasticity of the data and its empirical distribution has been investigated through Monte Carlo simulations. The performance of the indicator has been compared to well know homoskedasticity test usually implemented in statistical softwares.
The present paper is partially supported by MURST 2000: Modelli stocastici e metodi di simulazione per l’analisi di dati dipendenti. It is a joint work of both authors, anyway Niglio wrote sections 1 and 3, while Pagnotta sections 2 and 4.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
BOX, G.E.P. and COX, D.R. (1964): An analysis of transformations, Journal of the Royal Statistical Society (B), 26, 211–243.
BOX, G.E.P. and JENKINS, G.M. (1976): Time series analysis, forecasting and control, San Francisco: Holden Day.
GIORDANO F., NIGLIO, M. and STORTI, G. (2000): A simulation study for the evaluation of the seasonal adjustment and forecasting performances of the TESS system, Statistica Applicata,12, 341–360.
GOLDFELD, S.M. and QUANDT, R.E. (1965): Some tests for homoscedasticity, Journal of the American Statistical Association, 60, 539–547.
JARQUE, C.M. and BERA, A.K. (1987): A test for normality of observations and regression residuals, International Statistical Review,55, 163–172.
ROTHAGI, V.K. (1984): Statistical inference, John Wiley & Sons
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Niglio, M., Pagnotta, S.M. (2004). A Resistant Measure of Heteroskedasticity in Explorative Time Series Analysis. In: Bock, HH., Chiodi, M., Mineo, A. (eds) Advances in Multivariate Data Analysis. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17111-6_7
Download citation
DOI: https://doi.org/10.1007/978-3-642-17111-6_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-20889-1
Online ISBN: 978-3-642-17111-6
eBook Packages: Springer Book Archive