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2012

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Master thesis report IDE 12XX

School of Information Science, Computer and Electrical Engineering

Halmstad University

ISSN XXXXX

Preface

In this initial text a very informal motivation for the work can be expressed and the intended reader may be described. Here also any potential acknowledgments may be given, i.e. thanks and credits to any people, companies, foundations etc. that have helped in the progress of the thesis work.

Abstract

The abstract very concisely summarizes the results of the thesis and their implications.

How to use this template: Make sure not to remove any section breaks (to see section breaks use the Show all non printing characters function in Word). Use formating for Headings and Normal text (Format Styles) To update the Table of contents, right click and chose Update fieldUpdate entire table Do not forget to delete this information when your thesis is finish!

Contents

Preface	i

Abstract	iii

1	Introduction	1

1.1	Mathematical text	1

1.2	Tables	2

1.3	Figures	2

2	Methods	5

3	Results	7

3.1	Theoretical Results	7

3.1.1	This is a subsection	7

3.2	Simulation Results	8

3.3	Examples with Real Data	8

4	Conclusions	11

Appendix	13

Notation	15

Acknowledgments	17

Bibliography	19

Chapter 1

Introduction

Here goes the introduction...

First an informal introduction and explanation of the importance of this specific research is given. Then the study is put into its context, i.e. the historical background is explained and references to previous relevant studies are given in the form: see L.A. Bordag et al [1], Järpe [5], [6], and Frisén [2]. One may also consider Guyon [3] and Hammersley and Clifford [4] in order to get the full picture. The posts of the bibliography should be listed in alphabetical order of the sir names of the first authors. Observe that all citations in the thesis must be referenced in the bibliography, and all posts in the bibliography must occur in the text of the thesis.

Finally the introduction should end with a brief walkthrough of the thesis: In this section the background is given. In Section 2 the methods and models are presented. All results are presented in Section 3 and discussed and interpreted in Section 4. Finally proofs of theoretical results and simulation program code may be found in the Appendix. (Proofs of bearing significance could also be given in the chapters; this is merely a recommendation.)

By default headers and footers are suppressed at the first page of each chapter and on empty pages. On the first page of a chapter only the page number is centered in the foot. In the head of pages except the initial of each chapter the name of that chapter appears to the right on odd pages and the name of the thesis to the left on even pages. In the foot the page number appears to the right on odd pages and to the left on even pages (see next page).

Mathematical text

About notation and mathematical text, the probability of the event A should be written as P(A), expectation of the variable X as E(X), the variance of X as V(X) and covariance of X and Y as C(X, Y). Integrals, sums and matrices should preferably be given in displayed style as

and

Equation 1.1

with the extra utility of reference to equation (1.1) being possible, and

as opposed to the in-line style for integrals, , for sums, ,

and for matrices, . Maybe also limits should be mentioned in

this context. These look like

when displayed and like in-line. Sometimes one likes the text to appear as when given displayed though it is actually given in-line. By the command display style

Tables

Tables may be constructed by using the tables functions in Word. Use the caption function to get an automatic numbering.

Speed	Velocity	Acceleration
5.092	4.819	5.111
5.198	7.247	3.219
2.966	9.135	2.141

Figure 1.1

Figures

Figures of the formats png, gif, jpg, and pdf may be included by the insert picture function or drag and drop.

Figure 1.2: Geometric random walk (black curve), positive part of random walk (red curve) and log of aggregated geometric random walk in green.

A footnote is really easy to make by using the insertfootnote function in Word.

Chapter 2

Methods

Here the models and methods are formally presented. Also basic results and properties are mentioned and references to the current development of the methods in the literature are also given.

Chapter 3

Results

Here the results are formally derived and presented but not interpreted.

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Theoretical Results

Here go theoretical results, e.g. theorems, lemmas, propositions, corollaries etc. Proofs are preferably deferred to the appendix.

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This is a subsection

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This is a subsubsection

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Simulation Results

Here are simulation methods brieﬂy described and results based on the simulations presented. In case the simulation method is novel a more extensive presentation of the method could be given and raw results of the simulations included for illustration.

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didunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exerci- tation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.

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Examples with Real Data

Here examples based on real historical data may be given.

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didunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exerci- tation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.

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didunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exerci- tation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.

Chapter 4

Conclusions

Here all results are interpreted and discussed. Depending on the relevance the results may be compared to related studies. Development of the research in the study of this paper is mentioned.

Appendix

Proofs of theoretical results could be given here. If the results are based on computer programs written by the author, then the program code should be presented here.

Notation

Z+	The set of positive integers.
( , , n, P )	filtered probability space with set of outcomes Ω, sigma algebra Φ , ﬂow or filtration {Φn} and probability measure P.
Pµ(A)	Probability of the event A with respect to the measure µ.
Eµ(X), Vµ(X)	Expectation and variance of the random vari- able X with respect to the measure µ.
Cµ(X, Y)	Covariance of the random variables X and Y with respect to the measure µ.
 Xt : t T	A random process with time index set T.Xtis said to be a process in discrete time if T is discrete and a process in continuous time if T is continuous.
( x ), ( x )	Normal distribution and density values respectively at point x.
( B, S )	A (B, S)-market consisting of a bank account ('risk-free' asset) B =Bn and a stock ('risk asset') S =Sn.
= ( , )	An investment portfolio.
C ( f N ; P ), C ( f N ; P )	Upper and lower price with pay-off function fN and measure P.

Acknowledgments

We would like to thank ...

Bibliography

[1] L.A. Bordag, O.G. Chkhetiani, M. Fröhner and V. Myrnyy (2005)

Interaction of a rotational motion and an axial ﬂow in small geometries for a Couette-Taylor problem. Journal of Fluids and Structures, 20, 621 - 641.

[2] M. Frisén and P. Wessman (1999)

Evaluations of Likelihood Ratio Methods for Surveillance, Differences and Robustness. Communications in statistics, Computation and simulation, 28 (3), 597 - 622.

[3] X. Guyon (1995)

Random Fields on a network. New York: Springer-Verlag.

[4] J.M. Hammersley and P. Clifford (1971)

Markov Fields on Finite Graphs and Lattices. Manuscript, University of Oxford, Oxford.

[5] E. Järpe (2002)

Surveillance, environmental. In: Encyclopedia of Environmetrics, (eds. A.H. El- Shaarawi and W.W. Piegorsch), Wiley. 2150-2153.

[6] E. Järpe (1999)

Surveillance of the interaction parameter of the Ising model. Communications in statistics, Theory and methods, 28 (12), 3009 - 3027.

[7] L. Lamport (1994)

LATEX A Document Preparation System: User's Guide and Reference Manual. Second edition revised 2004 according to the new standards of LATEX2 . Addison-Wesley. A

The difficult question is what to put in it...