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ANALYSIS OF AN IMPORTANCE SAMPLING IN A STOCHASTIC VOLATILITY MODEL

Sun, Qiang (2010) ANALYSIS OF AN IMPORTANCE SAMPLING IN A STOCHASTIC VOLATILITY MODEL. Doctoral Dissertation, University of Pittsburgh. (Unpublished)

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Abstract

This thesis analyzes an importance sampling method whose effectiveness relies in many cases onthe selection of sampler's parameters. In its typical application of a Taylor's stochasticvolatility model, a new approach, referred to as `universal importance sampling', was designedand shown to be much more efficient than those in the literature, such as the sequential importancesampling. One obvious advantage of the universal sampling is that the parameters selected do notrely on the sampling process, so that Monte Carlo simulations can be done on different computerswith a final averaging.


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Details

Item Type: University of Pittsburgh ETD
Status: Unpublished
Creators/Authors:
CreatorsEmailPitt UsernameORCID
Sun, Qiangsunqiang@pitt.eduSUNQIANG
ETD Committee:
TitleMemberEmail AddressPitt UsernameORCID
Committee ChairChen, Xinfuxinfu@pitt.eduXINFU
Committee MemberCaginalp, Gunduzcaginalp@pitt.eduCAGINALP
Committee MemberYotov, Ivanyotov@math.pitt.eduYOTOV
Committee MemberChadam, Johnchadam@pitt.eduCHADAM
Committee MemberHusted, Stevenhusted1@pitt.eduHUSTED1
Date: 1 October 2010
Date Type: Completion
Defense Date: 19 May 2010
Approval Date: 1 October 2010
Submission Date: 16 July 2010
Access Restriction: 5 year -- Restrict access to University of Pittsburgh for a period of 5 years.
Institution: University of Pittsburgh
Schools and Programs: Dietrich School of Arts and Sciences > Mathematics
Degree: PhD - Doctor of Philosophy
Thesis Type: Doctoral Dissertation
Refereed: Yes
Uncontrolled Keywords: Importance Sampling; Maximum Likelihood.; Monte Carlo; Stochastic Volatility
Other ID: http://etd.library.pitt.edu/ETD/available/etd-07162010-131350/, etd-07162010-131350
Date Deposited: 10 Nov 2011 19:51
Last Modified: 15 Nov 2016 13:46
URI: http://d-scholarship.pitt.edu/id/eprint/8408

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