Premium
Reducing the size distortion of the KPSS test
Author(s) -
Kurozumi Eiji,
Tanaka Shinya
Publication year - 2010
Publication title -
journal of time series analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.576
H-Index - 54
eISSN - 1467-9892
pISSN - 0143-9782
DOI - 10.1111/j.1467-9892.2010.00674.x
Subject(s) - mathematics , autoregressive model , estimator , distortion (music) , test statistic , statistics , term (time) , sample size determination , boundary (topology) , variance (accounting) , statistic , statistical hypothesis testing , mathematical analysis , amplifier , physics , accounting , cmos , quantum mechanics , electronic engineering , engineering , business
This article proposes a new stationarity test based on the KPSS test with less size distortion. We extend the boundary rule proposed by Sul et al. (2005) to the autoregressive spectral density estimator and parametrically estimate the long‐run variance. We also derive the finite sample bias of the numerator of the test statistic up to the 1/ T order and propose a correction to the bias term in the numerator. Finite sample simulations show that the correction term effectively reduces the bias in the numerator and that the finite sample size of our test is close to the nominal one as long as the long‐run parameter in the model satisfies the boundary condition.