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Alternative Variance-Ratio Tests Using Ranks and Signs

2000· article· en· 373 citations· W2019851767 on OpenAlex· 10.1080/07350015.2000.10524842

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GPT teacher head0.234
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Abstract

This article proposes using variance-ratio tests based on the ranks and signs of a time series to test the null that the series is a martingale difference sequence. Unlike conventional variance-ratio tests, these tests can be exact. In Monte Carlo simulations, I find that they can also be more powerful than conventional variance-ratio tests. I apply the proposed tests to five exchange-rate series and find that they are capable of detecting violations of the martingale hypothesis for all five series, whereas conventional variance-ratio tests yield ambiguous results.

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The record

Venue
Journal of Business and Economic Statistics
Topic
Complex Systems and Time Series Analysis
Field
Economics, Econometrics and Finance
Canadian institutions
Funders
University of Regina
Keywords
MathematicsStatisticsSeries (stratigraphy)Martingale difference sequenceVariance (accounting)Monte Carlo methodEconometricsMartingale (probability theory)Null hypothesisStatistical hypothesis testingEconomics
Has abstract in OpenAlex
yes