EconPapers    
Economics at your fingertips  
 

Saddle-Type Functionals for Continuous Processes with Applications to Tests for Stochastic Spanning

Stelios Stelios Arvanitis
Additional contact information
Stelios Stelios Arvanitis: Athens University of Economics and Business

No 201509, Working Papers from Athens University Of Economics and Business, Department of Economics

Abstract: We derive the continuity properties of the cdf of a random variable deâined as a saddle-type point of a real valued continuous stochastic process on a compact metric space. This result facilitates the deri- vation of âirst order asymptotic properties of tests for stochastic spanning w.r.t. some stochastic domi- nance relation based on subsampling. As an illustration we define the concept of Markowitz stochastic span- ning, derive an analytic representation upon the empirical analog of which we construct a relevant statisti- cal test. The aforementioned result enables derivation of asymptotic exactness for the relevant procedure based on subsampling,when the metric space has the form of a simplicial complex, the spanning set is a compact subset and the signiâicance level is chosen according to the number of extreme points of the complex inside the spanning set. Consistency is also derived. Such tests are of interest in financial economics since they can provide reductions of portfolio sets.

Keywords: Continuous Process; Malliavin Derivative; Nested Optimizations; Saddle-Type Point; ConnectedSupport; Atom; AbsoluteContinuity; MarkowitzStochasticDominance; Stochastic Spanning; Spanning Test; Subsampling; Gaussian Process; Brownian Bridge; Asymptotic Exactness; Consistency. (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-ecm
Date: 2015-09
References: View references in EconPapers View complete reference list from CitEc
Citations Track citations by RSS feed

Forthcoming

Downloads: (external link)
http://www.econ.aueb.gr/uploadfiles/AllDp092015 Released version, 2015 (application/pdf)
Our link check indicates that this URL is bad, the error code is: 500 Can't connect to www.econ.aueb.gr:443 (http://www.econ.aueb.gr/uploadfiles/AllDp092015 [301 Moved Permanently]--> https://www.econ.aueb.gr/uploadfiles/AllDp092015)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:aeb:wpaper:201509:y:2015

Access Statistics for this paper

More papers in Working Papers from Athens University Of Economics and Business, Department of Economics Contact information at EDIRC.
Series data maintained by Themis Volikas ().

 
Page updated 2017-11-19
Handle: RePEc:aeb:wpaper:201509:y:2015