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Research Interests

My main interest is statistical methods in continuous stochastic process, with the application in finance and neural science, including stochastic volatility estimation, jump component testing and estimation, and model calibration (parameter estimation) under semimartingale (levy process).

In addition, I have interests in machine learning and Bayesian data analysis.  

PHD Candidate    2006-2010 (Expected)
Department of Statistics, University of Pittsburgh

Advisor: Satish Iyengar

Office: 2617 Cathedral of Learning Email: naz11@pitt.edu

 

Summer Intern in Commercial Actuarial Strategic Development    May,2009-August, 2009

Co-op/BioPham Discovery Statistician    June,2008-December, 2008

 

Bachelor of Science    2002-2006
Department of Mathematics and Applied Mathematics
, Zhejiang University

Affiliated with ChuKechen Honors College, a program for outstanding students.

Study-Basic Knowledge                                                                                

Stochastical Process

·  Ornstein-Uhlenbeck Process

·  Change of Measure

Machine Learning

·  Information Theory

·  Generative & Discriminative

·  Supervised learning

·  Clustering Algorithms

·  Combine labeled and unlabeled data

·  Bayesian Network

·  Hidden Markov Model

·  Markov Decision Process

·  Reinforcement Learning

Statistics and Probability

·  Point Estimations

·  Interval Estimations

·  Hypothesis Testing

·  Exchangeable random variables

Bayesian Analysis

·  Sampling Approaches

Finance

·  Notes for Finance Calculus

Projects                                                                            

 

Testing and Estimation of Jumps in Continuous Stochastic Processes Based on High Frequency Data

with Microstructure Noise (Ph.D. Thesis)

 

Dose Response and Bayesian Adaptive Design with PK/PD Models (Jun 2008~Dec 2008)

Programming in R

 

Pricing in Electricity Market with Stochastic Volatility Models (Nov 2007~ Dec 2008)

Paper  Programming in Matlab

§           Built the Stochastic Volatility models for the electricity prices

§           Calibrated models with Bayesian methods based on historical data

§           Designed statistical testing to compare fitting goodness of different models

 

 

 

 

 

 

Bayesian GAM Models for FMRI Event-Related Connectivity Analyses (Jan 2008~April 2008)

Paper  Programming in Matlab

§           Applied Hierarchical linear models combined with Spline to smooth the FMRI data.

§           Used longitudinal data analysis to build the connection between blood pressure and FMRI.

 

 

TAN Network Classification for Cognitive States from Brain Images (Jan 2007~May 2007)

Paper  Programming in Matlab

 

Courses             

Theory of Statistics

Linear Model Theory

Asymptotic Methods in Statistics

Applied Statistical Methods I & II

 

Probability Theory I & IIStochastic Differential Equations

 

 

Mathematics of Finance I & II

Time Series

 

Machine Learning(Course at CMU)

Bayesian Dynamic Linear & Non-Linear Models

Applied Nonparametric Statistics

Survival Analysis

                   

Teaching   

 

Instructor:

STAT 1000 

STAT 0200

Teaching Assistant:

STAT 1100

                                                                      

Links                                                                                

Project Euclid

Journals in Statistics

·  Annals of Statistics             ·  Annals of Applied Statistics                    ·  Annals of Probability  ·  Bernoulli

·  Annals of Applied Probability   ·  Journal of the American Statistical Association     

               

Journals in Economics & Finance

·  Economica            ·  Journal of Econometrics

Mathematical Finance

·  Bloomberg             ·  WILMOTT              ·  WSJ                ·  Quantnet                ·  Global Derivatives                    ·  VN Quantitative Finance

·  金融界             ·  中文WSJ              ·  和讯         ·  Financial Times

 

 

 

Nan Zhou 周楠

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