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Testing for the Martingale Difference Hypothesis in Multivariate Time Series Models

This article proposes a general class of tests to examine whether the error term is a martingale difference sequence in a multivariate time series model with parametric conditional mean. These new tests are formed based on recently developed martingale difference divergence matrix (MDDM), and they provide formal tools to test the multivariate martingale difference hypothesis in the literature for the first time. Under suitable conditions, the asymptotic null distributions of these MDDM-based tests are established. Moreover, these MDDM-based tests are consistent to detect a broad class of fixed alternatives, and have nontrivial power against local alternatives of order n−1/2
, where n is the sample size. Since the asymptotic null distributions depend on the data generating process and the parameter estimation, a wild bootstrap procedure is further proposed to approximate the critical values of these MDDM-based tests, and its theoretical validity is justified. Finally, the usefulness of these MDDM-based tests is illustrated by simulation studies and one real data example.

Ketersediaan

Informasi Detail

Judul Seri

JOURNAL OF BUSINESS AND ECONOMIC STATISTICS; Vol.40 No.3 July 2022

No. Panggil

-

Penerbit

: .,

Deskripsi Fisik

p. 980-994

Bahasa

English

ISBN/ISSN

-

Klasifikasi

NONE

Tipe Isi

-

Tipe Media

-

Tipe Pembawa

-

Edisi

-

Subjek

SPECIFICATION TEST
WILD BOOTSTRAP
MARTINGALE DIFFERENCE DIVERGENCE MATRIX
MARTINGALE DIFFERENCE HYPOTHESIS
MULTIVARIATE TIME SERIES MODELS

Info Detail Spesifik

https://doi.org/10.1080/07350015.2021.1889568

Pernyataan Tanggungjawab

Guochang Wang, Ke Zhu, Xiaofeng Shao

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