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| {"entries":[],"headings":["lecture-1-an-introduction-to-statistics","outline-of-lecture-1","contact-details","references","overview-of-the-module---part-i"]} | ||
| {"entries":[{"key":"thm-line","caption":"Line","order":{"number":1,"section":[1,7,1,0,0,0,0]}}],"headings":["lecture-1-an-introduction-to-statistics","outline-of-lecture-1","contact-details","references","main-textbooks","references-1","secondary-references","overview-of-the-module","overview-of-the-module-1","part-i---mathematical-statistics","overview-of-the-module-2","part-ii","line","references-2"]} |
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| {"entries":[],"headings":["license","reuse","citation"]} | ||
| {"headings":["license","reuse","citation"],"entries":[]} |
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| "href": "index.html", | ||
| "title": "Statistical Models", | ||
| "section": "", | ||
| "text": "Welcome\nThese are the Slides of the module Statistical Models 551305 for T2 2023/24 at the University of Hull. If you have any question or find any typo, please email me at\n\[email protected]\n\nUp to date information about the module will be published on the University of Hull Canvas Website\n\ncanvas.hull.ac.uk/courses/70065\n\nand on the Course Webpage hosted on my website\n\nsilviofanzon.com/blog/2023/Statistical-Models/\n\n\n\nSlides\nThere are 11 lectures in this module. Topics and links to the slides can be found below.\n\n\n\n\n\n\n\nSlides\nTitle\n\n\n\n\nLecture 1\nAn introduction to Statistics\n\n\nLecture 2\nTBA\n\n\n\n\n\nReadings\nMain textbooks:\n\nStatistics theory: The book by Bingham and Fry [1]\nStatistics in R: The book by Fry and Burke [2]\n\nReference books:\n\nProbability & Statistics: The book by Casella and Berger [3]\nManual of R: The book by Dalgaard [4]\n\n\n\n\n\n\nReferences\n\n[1] Bingham, Nicholas H., Fry, John, Regression, linear models in statistics, Springer, 2010.\n\n\n[2] Fry, John, Burke, Matt, Quantitative methods in finance using R, Open University Press, 2022.\n\n\n[3] Casella, George, Berger, Roger L., Statistical inference, second edition, Brooks/Cole, 2002.\n\n\n[4] Dalgaard, Peter, Introductory statistics with R, Second Edition, Springer, 2008." | ||
| "text": "Welcome\nThese are the Slides of the module Statistical Models 551305 for T2 2023/24 at the University of Hull. If you have any question or find any typo, please email me at\n\[email protected]\n\nUp to date information about the module will be published on the University of Hull Canvas Website\n\ncanvas.hull.ac.uk/courses/70065\n\nand on the Course Webpage hosted on my website\n\nsilviofanzon.com/blog/2024/Statistical-Models/\n\n\n\nSlides\nThere are 11 lectures in this module. Topics and links to the slides are below.\n\n\n\n\n\n\n\nSlides\nTitle\n\n\n\n\nLecture 1\nAn introduction to Statistics\n\n\nLecture 2\nTBA\n\n\n\n\n\nReadings\nMain textbooks: These lecture slides are self-contained and based on\n\nStatistics theory: The book by Bingham and Fry [1]\nStatistics in R: The book by Fry and Burke [2]\n\nReference books: In addition we reccommend the following\n\nProbability & Statistics: The book by Casella and Berger [3]\nManual of R: The book by Dalgaard [4]\n\n\n\n\n\n\nReferences\n\n[1] Bingham, Nicholas H., Fry, John M., Regression, linear models in statistics, Springer, 2010.\n\n\n[2] Fry, John M., Burke, Matt, Quantitative methods in finance using R, Open University Press, 2022.\n\n\n[3] Casella, George, Berger, Roger L., Statistical inference, second edition, Brooks/Cole, 2002.\n\n\n[4] Dalgaard, Peter, Introductory statistics with R, Second Edition, Springer, 2008." | ||
| } | ||
| ] | ||
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| margin: 0 0.8em 0.2em -1em; /* quarto-specific, see https://github.com/quarto-dev/quarto-cli/issues/4556 */ | ||
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| } | ||
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| /* CSS for citations */ | ||
| div.csl-bib-body { } | ||
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| <link href="../site_libs/revealjs/plugin/reveal-menu/menu.css" rel="stylesheet"> | ||
|
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@@ -373,36 +392,112 @@ <h2>Outline of Lecture 1</h2> | |
| <section id="contact-details" class="slide level2"> | ||
| <h2>Contact details</h2> | ||
| <ul> | ||
| <li>Lecturer: Dr. Silvio Fanzon. Call me: | ||
| <li><strong>Lecturer:</strong> Dr. Silvio Fanzon</li> | ||
| <li><strong>Call me:</strong> | ||
| <ul> | ||
| <li>Silvio</li> | ||
| <li>Dr Fanzon</li> | ||
| <li>Dr. Fanzon</li> | ||
| </ul></li> | ||
| <li>Email: [email protected]</li> | ||
| <li>Office: Room 104a, Larkin Building</li> | ||
| <li>Office hours: Wednesday 12:00-13:00</li> | ||
| <li>Meetings in my office or send me an Email</li> | ||
| <li><strong>Email:</strong> [email protected]</li> | ||
| <li><strong>Office:</strong> Room 104a, Larkin Building</li> | ||
| <li><strong>Office hours:</strong> Wednesday 12:00-13:00</li> | ||
| <li><strong>Meetings</strong>: in my office or send me an Email</li> | ||
| </ul> | ||
| </section> | ||
| <section id="references" class="slide level2"> | ||
| <h2>References</h2> | ||
| <p>Lecture notes are self-contained and based on books</p> | ||
| <h3 id="main-textbooks">Main textbooks</h3> | ||
| <p>These lecture notes are self-contained and based on books</p> | ||
| <ul> | ||
| <li><p><span class="citation" data-cites="bingham-fry">[<a href="#/references-2" role="doc-biblioref" onclick="">1</a>]</span> Bingham, N. H. and Fry, J. M. (2010) <br> <em>Regression: Linear models in statistics.</em> <br> Springer Undergraduate Mathematics Series</p></li> | ||
| <li><p><span class="citation" data-cites="fry-burke">[<a href="#/references-2" role="doc-biblioref" onclick="">2</a>]</span> Fry, J. M. and Burke, M. (2022) <br><em>Quantitative methods in finance using R.</em> <br>Open University Press</p></li> | ||
| </ul> | ||
| </section> | ||
| <section id="references-1" class="slide level2"> | ||
| <h2>References</h2> | ||
| <h3 id="secondary-references">Secondary References</h3> | ||
| <div class="column" style="width:65%;"> | ||
| <ul> | ||
| <li><p>Bingham, N. H. and Fry, J. M. (2010) <br> <em>Regression: Linear models in statistics.</em> <br> Springer Undergraduate Mathematics Series</p></li> | ||
| <li><p>Fry, J. M. and Burke, M. (2022) <br><em>Quantitative methods in finance using R.</em> <br>Open University Press</p></li> | ||
| <li><p><span class="citation" data-cites="casella-berger">[<a href="#/references-2" role="doc-biblioref" onclick="">3</a>]</span> Casella, G. and Berger R. L. (2002)<br> <em>Statistical inference.</em> <br> Second Edition, Brooks/Cole</p></li> | ||
| <li><p><span class="citation" data-cites="dalgaard">[<a href="#/references-2" role="doc-biblioref" onclick="">4</a>]</span> Dalgaard, P. (2008) <br> <em>Introductory statistics with R.</em> <br> Second Edition, Springer<br> | ||
| </p></li> | ||
| </ul> | ||
| <p>Other References</p> | ||
| </div> | ||
| <div class="column" style="width:30%;"> | ||
| <p><strong>Probability and statistics manual</strong></p> | ||
| <p><br></p> | ||
| <p><strong>R manual</strong></p> | ||
| </div> | ||
| </section> | ||
| <section id="overview-of-the-module" class="slide level2"> | ||
| <h2>Overview of the module</h2> | ||
| <p>Module comprises two parts:</p> | ||
| <ul> | ||
| <li><p>ac</p></li> | ||
| <li><p>ad</p></li> | ||
| <li><p><strong>Part I</strong> Mathematical statistics</p></li> | ||
| <li><p><strong>Parti II</strong> Applied statistics</p></li> | ||
| </ul> | ||
| </section> | ||
| <section id="overview-of-the-module---part-i" class="slide level2"> | ||
| <h2>Overview of the module - Part I</h2> | ||
| <section id="overview-of-the-module-1" class="slide level2"> | ||
| <h2>Overview of the module</h2> | ||
| <h3 id="part-i---mathematical-statistics">Part I - Mathematical statistics</h3> | ||
| <p>With a continuous probability density function <span class="math inline">\(f(\cdot)\)</span> the mean and variance can be calculated as</p> | ||
| <p><span class="math display">\[\begin{gather*} | ||
| \mbox{Mean}=E[X]=\int_{-\infty}^{\infty}x \, f(x)dx \\ | ||
| a_1=b_1+c_1\\ | ||
| a_2=b_2+c_2-d_2+e_2 | ||
| \end{gather*}\]</span> <span class="math display">\[ | ||
| E[X^2]=\int_{-\infty}^{\infty}x^2f(x)dx | ||
| \]</span> <span class="math display">\[ | ||
| \mbox{Variance}=E[X^2]-(E[X])^2 | ||
| \]</span></p> | ||
| </section> | ||
| <section id="overview-of-the-module-2" class="slide level2"> | ||
| <h2>Overview of the module</h2> | ||
| <h3 id="part-ii">Part II</h3> | ||
| <p><span class="alert">important note</span></p> | ||
| <div id="thm-line" class="theorem"> | ||
| <p><span class="theorem-title"><strong>Theorem 1 (Line) </strong></span>The equation of any straight line, called a linear equation, can be written as:</p> | ||
| <p><span class="math display">\[ | ||
| y = mx + b | ||
| \]</span></p> | ||
| </div> | ||
| <div class="callout callout-note callout-titled callout-style-default"> | ||
| <div class="callout-body"> | ||
| <div class="callout-title"> | ||
| <div class="callout-icon-container"> | ||
| <i class="callout-icon"></i> | ||
| </div> | ||
| <p><strong>Note</strong></p> | ||
| </div> | ||
| <div class="callout-content"> | ||
| <p>Note that there are five types of callouts, including: <code>note</code>, <code>warning</code>, <code>important</code>, <code>tip</code>, and <code>caution</code>.</p> | ||
| </div> | ||
| </div> | ||
| </div> | ||
| <div class="proof"> | ||
| <p><span class="proof-title"><em>Proof</em>. </span>The solution.</p> | ||
| </div> | ||
| </section> | ||
| <section id="references-2" class="slide level2 smaller scrollable"> | ||
| <h2>References</h2> | ||
|
|
||
| <div class="footer footer-default"> | ||
| <p><a href="../index.html">Homepage</a> <a href="../license.html">License</a> <a href="https://www.silviofanzon.com/contact">Contact</a></p> | ||
| </div> | ||
| <div id="refs" class="references csl-bib-body" role="list"> | ||
| <div id="ref-bingham-fry" class="csl-entry" role="listitem"> | ||
| <div class="csl-left-margin">[1] </div><div class="csl-right-inline">Bingham, Nicholas H., Fry, John M., Regression, linear models in statistics, Springer, 2010.</div> | ||
| </div> | ||
| <div id="ref-fry-burke" class="csl-entry" role="listitem"> | ||
| <div class="csl-left-margin">[2] </div><div class="csl-right-inline">Fry, John M., Burke, Matt, Quantitative methods in finance using <span>R</span>, Open University Press, 2022.</div> | ||
| </div> | ||
| <div id="ref-casella-berger" class="csl-entry" role="listitem"> | ||
| <div class="csl-left-margin">[3] </div><div class="csl-right-inline">Casella, George, Berger, Roger L., Statistical inference, second edition, Brooks/Cole, 2002.</div> | ||
| </div> | ||
| <div id="ref-dalgaard" class="csl-entry" role="listitem"> | ||
| <div class="csl-left-margin">[4] </div><div class="csl-right-inline">Dalgaard, Peter, Introductory statistics with <span>R</span>, Second Edition, Springer, 2008.</div> | ||
| </div> | ||
| </div> | ||
| </section></section> | ||
| </div> | ||
| </div> | ||
|
|
@@ -561,7 +656,7 @@ <h2>Overview of the module - Part I</h2> | |
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