{"id":4473,"date":"2021-03-05T12:04:42","date_gmt":"2021-03-05T10:04:55","guid":{"rendered":"http:\/\/150.140.135.22\/wordpress\/?post_type=product&#038;p=4473"},"modified":"2022-05-16T09:23:23","modified_gmt":"2022-05-16T07:23:23","slug":"statistical-data-analysis-2","status":"publish","type":"product","link":"https:\/\/www.civil.upatras.gr\/index.php\/product\/statistical-data-analysis-2\/?lang=en","title":{"rendered":"Statistical analysis and modeling of extreme values for hydrologic applications"},"content":{"rendered":"","protected":false},"excerpt":{"rendered":"<p>1. Setting the stage<br \/>\n1.1. Extremes: low frequencies vs extreme consequences<br \/>\n1.2. Functions of random vectors: the case of min\/max functions<br \/>\n1.3. Engineers\u2019 approach to extremes: The return period concept and alternative definitions<br \/>\n2. Univariate extremes<br \/>\n2.1. Introduction to extreme value theory and models<br \/>\n2.1.1. Extreme value theorem and max-stability: assumptions and limitations<br \/>\n2.1.2. The generalized extreme value (GEV) distribution<br \/>\n2.1.3. Distribution fitting<br \/>\n2.1.3.1. Method of moments<br \/>\n2.1.3.2. Method of maximum likelihood<br \/>\n2.1.3.3. Method of probability weighted moments<br \/>\n2.1.4. Estimation of return levels from data: Construction of intensity-duration-frequency (IDF) curves from annual rainfall maxima<br \/>\n2.2. Introduction to extreme excess theory and threshold models<br \/>\n2.2.1. Extreme excess theorem: assumptions and limitations<br \/>\n2.2.2. The generalized Pareto (GP) distribution: assumptions and limitations<br \/>\n2.2.3. Threshold detection<br \/>\n2.2.4. Distribution fitting<br \/>\n2.2.4.1. Method of moments<br \/>\n2.2.4.2. Method of maximum likelihood<br \/>\n2.2.4.3. Method of probability weighted moments<br \/>\n2.2.5. Estimation of return levels from data: Construction of intensity-duration-frequency (IDF) curves from peaks-over-threshold (PoT) series<br \/>\n3. Multivariate extremes<br \/>\n3.1. Multivariate extreme value distributions and max-stability<br \/>\n3.2. Max-stable models and extreme value copulas<br \/>\n3.3. Fitting extreme value copulas to data<br \/>\n4. Extremes of dependent realizations<br \/>\n4.1. Asymptotic convergence and its dependence on the observation scale: Extreme value theory vs Large-deviation theory<br \/>\n4.2. Relaxation of the independence assumption under pre-asymptotic conditions and approximate convergence<br \/>\n4.3. Stationary stochastic self-similar (sss, or multifractal) processes<br \/>\n4.3.1. Properties and generation<br \/>\n4.3.2. The beta-lognormal discrete multifractal model<br \/>\n4.3.3. Parameter estimation<br \/>\n4.4. Estimation of return levels from data: Construction of intensity-duration-frequency (IDF) curves from short rainfall records (e.g. 1-2 years of data).<\/p>\n","protected":false},"featured_media":8234,"template":"","meta":[],"product_brand":[],"product_cat":[531,518,534],"product_tag":[],"class_list":{"0":"post-4473","1":"product","2":"type-product","3":"status-publish","4":"has-post-thumbnail","6":"product_cat-hydraulic-and-environmental-engineering-for-sustainable-infrastructures","7":"product_cat-postgraduate-en","8":"product_cat-spring","10":"first","11":"instock","12":"shipping-taxable","13":"product-type-simple"},"_links":{"self":[{"href":"https:\/\/www.civil.upatras.gr\/index.php\/wp-json\/wp\/v2\/product\/4473","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.civil.upatras.gr\/index.php\/wp-json\/wp\/v2\/product"}],"about":[{"href":"https:\/\/www.civil.upatras.gr\/index.php\/wp-json\/wp\/v2\/types\/product"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.civil.upatras.gr\/index.php\/wp-json\/wp\/v2\/media\/8234"}],"wp:attachment":[{"href":"https:\/\/www.civil.upatras.gr\/index.php\/wp-json\/wp\/v2\/media?parent=4473"}],"wp:term":[{"taxonomy":"product_brand","embeddable":true,"href":"https:\/\/www.civil.upatras.gr\/index.php\/wp-json\/wp\/v2\/product_brand?post=4473"},{"taxonomy":"product_cat","embeddable":true,"href":"https:\/\/www.civil.upatras.gr\/index.php\/wp-json\/wp\/v2\/product_cat?post=4473"},{"taxonomy":"product_tag","embeddable":true,"href":"https:\/\/www.civil.upatras.gr\/index.php\/wp-json\/wp\/v2\/product_tag?post=4473"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}