Bootstrap tests of stochastic dominance with asymptotic similarity in the boundary

Arbeitspapier

We propose a new method of testing stochastic dominance which improves on existing tests based on bootstrap or subsampling. Our test requires estimation of the contact sets between the marginal distributions. Our tests have asymptotic sizes that are exactly equal to the nominal level uniformly over the boundary points of the null hypothesis and are therefore valid over the whole null hypothesis. We also allow the prospects to be indexed by infinite as well as finite dimensional unknown parameters, so that the variables may be residuals from nonparametric and semiparametric models. Our simulation results show that our tests are indeed more powerful than the existing subsampling and recentered bootstrap.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Series: cemmap working paper ; No. CWP08/08

Classification and Topics

• Classification: Wirtschaft ; Hypothesis Testing: General ; Semiparametric and Nonparametric Methods: General ; Model Evaluation, Validation, and Selection
• Subject: Set estimation , Size of test , Unbiasedness , Similarity , Bootstrap , Subsampling ; Bootstrap-Verfahren ; Stochastischer Prozess ; Nichtparametrisches Verfahren

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Linton, Oliver ; Song, Kyungchul ; Whang, Yoon-Jae
• Event: Veröffentlichung
• (who): Centre for Microdata Methods and Practice (cemmap)
• (where): London
• (when): 2008

Further information

• DOI: doi:10.1920/wp.cem.2008.0808
• Handle: http://hdl.handle.net/10419/79395
• Last update: 10.03.2025, 11:45 AM CET