Comparing non-stationary and irregularly spaced time series


Autoria(s): Salcedo, Gladys E.; Porto, Rogerio F.; Morettin, Pedro A.
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

05/11/2013

05/11/2013

2012

Resumo

In this paper, we present approximate distributions for the ratio of the cumulative wavelet periodograms considering stationary and non-stationary time series generated from independent Gaussian processes. We also adapt an existing procedure to use this statistic and its approximate distribution in order to test if two regularly or irregularly spaced time series are realizations of the same generating process. Simulation studies show good size and power properties for the test statistic. An application with financial microdata illustrates the test usefulness. We conclude advocating the use of these approximate distributions instead of the ones obtained through randomizations, mainly in the case of irregular time series. (C) 2012 Elsevier B.V. All rights reserved.

CNPq

CNPq

FAPESP

FAPESP [2008/51097-6]

University of Quindio

University of Quindio

Bank of Brazil

Bank of Brazil

Identificador

COMPUTATIONAL STATISTICS & DATA ANALYSIS, AMSTERDAM, v. 56, n. 12, supl. 1, Part 6, pp. 3921-3934, DEC, 2012

0167-9473

http://www.producao.usp.br/handle/BDPI/41334

10.1016/j.csda.2012.05.022

http://dx.doi.org/10.1016/j.csda.2012.05.022

Idioma(s)

eng

Publicador

ELSEVIER SCIENCE BV

AMSTERDAM

Relação

COMPUTATIONAL STATISTICS & DATA ANALYSIS

Direitos

closedAccess

Copyright ELSEVIER SCIENCE BV

Palavras-Chave #HYPOTHESIS TESTING #IRREGULARLY SPACED TIME SERIES #LOCALLY STATIONARY WAVELET PROCESSES #MULTIRESOLUTION APPROXIMATION #DISTRIBUTIONS OF QUADRATIC FORMS #NORMAL VARIABLES #QUADRATIC-FORMS #REGRESSION #WAVELETS #ERRORS #COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS #STATISTICS & PROBABILITY
Tipo

article

original article

publishedVersion