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Monte-Carlo and Empirical Methods for Statistical Inference, HT-09

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Overview

Lectures:

Mondays 8-10, MH:309A
Thursdays 13-15, MH:309A
Except October 1:st (MA:3) and October 12:th (MH:362D)
The first lecture is given on Monday 31 August. See also the schedule below.

Computer exercises:

Tuesdays 15-17, MH:230
or
Wednesdays 15-17, MH:230
With the first lab on September 8.
For those of you who are new to matlab:
Introduktion till Matlab (in Swedish)
Introduction to Matlab (Mathworks)
Matlab to R reference

Office hours:

Mondays 13-15, MH:245
Thursdays 15-17, MH:245

Examination

Six computer exercises, each requiring a very short report (no longer than one page). Three home assignments/projects, with oral examination after the last project (focus will be in the last project, but all three projects may be discussed).
The assignments will be handed out during the 2:nd, 4:th and 6:th course week.

v2: 1) Simulation and Monte-Carlo integration, (pdf)
Handed out 2009-09-07, due 2009-09-24.

v4: 2) MCMC and Bayesian inference, (pdf)
Data: coal_mine.txt and challenger.txt)
Handed out 2009-09-21, due 2009-10-08.
Several of the projects have now been graded (I'm still working on a few that handed in late). If you want feedback the projects are available in my office.

v6: 3) Bootstrap, (pdf)
Estimation function: est_negbin.m
Data: austria.txt
denmark.txt
france.txt
germany.txt
greece.txt
holland.txt
italy.txt
spain.txt
sweden.txt
switzerland.txt
Handed out 2009-10-06, due 24 hours before your oral exam.

Tips:

Oral exam

Times for the oral exam are If you have not signed up yet please contact the lecturer (additional times may be considered given sufficient interest).

Schedule

Updated 2009-09-17.
Day Lectures (chapters in the book) Computer Ex.
v1/36Mon31/8L1 Introduction pdf
Thu3/9L2 Random number generation (2-3)
Ziggurat algorithm
pdf
v2/37Mon7/9L3 Monte Carlo-integration (4) pdf
Tue8/9C1 pdf
Wed9/9C1
Thu10/9L4 MCMC (5.1,5.3,5.5-5.6)
Equation of state calculations by fast
computing machines (1953)

Monte Carlo sampling methods using Markov
chains and their applications (1970)

Extra material about MCMC pdf
pdf
v3/38Mon14/9L5 MCMC (5.2,5.4,5.7)
MCMC example, sampling from Gumbel ( example.m)
pdf
Tue15/9C2 pdf
Wed16/9C2
Thu17/9L6 Stochastic modelling and Bayesian inference (6.1,10.1)
MCMC example, change point ( MCMC_Exp.m)
pdf
v4/39Mon21/9L7 Bayesian examples, simulation (10.2-10.3,11) pdf
Tue22/9C3 pdf
Wed23/9C3
Thu24/9L8 Statistical models (6) pdf
v5/40Mon28/9L9 Bootstrap (7.1-7.3)
A leisurely look at the Bootstrap, the Jackknife,
and Cross-Validation (1983)
pdf
Tue29/9C4 pdf
ph1.txt and ph2.txt
Wed30/9C4
Thu1/10L10 Parametric Bootstrap (7.4-7.5) pdf
v6/41Mon5/10L11 Permutaion test (8) pdf
Tue6/10C5 pdf
atlantic.txt
est_gumbel.m
Wed7/10C5
Thu8/10L12 The EM-algorithm (9)
Maximum Likelihood from Incomplete Data
via the EM Algorithm (1977)
pdf
v7/42Mon12/10L13 Summary, comments
No, the pdf file is not broken. It just contains huge imges.
pdf
Tue13/10C6 Help with project 3
Wed14/10C6 Help with project 3

Literature

M. Sköld, Computer Intensive Statistical Methods and some additional handouts.
The book is available from the Department for Mathematical Statistics.

The above book is the only one needed for the course.
However if you wish to explore other literature some good options are:

Monte Carlo

Bootstrap

People

Course administrator/lecturer:

Johan Lindström
room: MH:245
phone: 046-222 40 60
e-mail: johanl@maths.lth.se

Computer exercises:

Jonas Wallin
room: MH:237b
e-mail: wallin@maths.lth.se