# Probability and Statistics for Engineering Applications

CurriculumHYRIS + ROSE

Term: 1st year, 1st Semester

Syllabus

CFU: 6

SSD: CEAR-07/A

Duration and Scheduleavailable here

OBJECTIVES

Most problems in the different fields of Civil Engineering cannot be fully and efficiently addressed without knowledge of probability and statistics. In this course we will make an attempt to cover some basic aspects of probability and statistics that relate to practical matters keeping dice tossing and card games to a bare minimum. Less emphasis will be given to derivations and more to concepts and applications. We will start by discussing why probability and statistics are related but are not the same. Concept and definition of random variables and different functions of random variables will be covered in this initial part of the course. Afterwards, focus is given to commonly used probability distribution functions in civil engineering. Discussions on statistics and sampling are presented towards the last part of the course. In this part, goodness of fit tests, regression a analyses, estimation of distribution parameters from statistics, hypothesis testing and their significance will be discussed. Finally basics of Monte Carlo simulation and an introduction to variance reduction techniques will also be covered.Each topic is discussed with reference to different application problems and their solutions in different fields of civil engineering, such as Structural Engineering, Earthquake Engineering, Transportation Engineering, Water Resources and Environmental Engineering, and Geotechnical Engineering. Basic applications of decision analysis will also be introduced.

DESCRIPTION

Theoretical lectures will be complemented by tutorials(aiming at the practical application of the concepts and methods developed during the lectures). The topics that will be discussed in the course are reported in the following.

REQUIREMENTS

Knowledge of college-level calculus and basic skills in at least one of the following computer SW tools: Excel, Matlab, R. Proficiency in reading, writing and comprehending English language. Examples from different branches of engineering will be used throughout the course, but no prior in-depth knowledge of engineering is necessary.

REFERENCES
1. Ang, A. H. and Tang, W. H. (2007). “Probability Concepts In Engineering: Emphasis On applications In Civil &amp; Environmental Engineering,” Wiley.
2. Benjamin, J. R. and C. A. Cornell (1970). Probability, Statistics, and Decision for Civil Engineers. New York, McGraw-Hill.
3. Kutner M.H., Nachtsheim C., and Neter J., 2004. Applied linear regression models, McGraw-Hill, 1396 p.

ASSESSMENT
Assignments (weakly basis); 25% of final mark; Documentation Open
Midterm Examination; 25% of final mark; 1 sheet A4 (provided)
Final Examination; 50% of final mark; 2 sheets A4 (provided)

INSTRUCTOR 1: Paolo Bazzurro: official webpage and CV

INSTITUTION: IUSS

E-mailpaolo.bazzurro@iusspavia.it

Voice:  +39 0382 375850

Fax:     +39 0382 375899

Bio: Paolo Bazzurro is professor of Structural Design at University School for Superior Studies (IUSS) in Pavia. He earned his M.S., Engineer Degree, and Ph.D. in Civil Engineering at Stanford University where he has been part-time Consulting Assistant Professor from 2001 to 2005.

Before joining IUSS, he gained more than 25 years of professional experience in Europe and United States dealing with risk assessment of monetary losses caused by natural events for corporate clients, insurance companies, reinsurance companies and brokers, sovereign and local governments and other public institutions. In this period he led projects dealing with the assessment of hazard and risk caused by earthquakes, hurricanes, flood and tsunami to a variety of onshore and off shore structures and portfolios of assets located in five continents.

In this period, he worked for 11 years as a Principal Engineer and Director of Risk Engineering and Analysis of AIR Worldwide where he led the risk assessment work and contributed to the design of the final risk mitigation strategies in ground-breaking projects such as CatMex and MultiCat, which supported the issuance of insured-linked securities and more traditional insurance coverage for the Government of Mexico.

He also carried out the risk assessment work for the Pacific Catastrophe Risk Assessment and Financing Initiative in the Pacific Region for the World Bank, which brought to fruition the first insurance facility in that region of the world. Over the years he has also led many research and application-oriented projects for prestigious organizations such as the United States Geological Survey, the Pacific Earthquake Engineering Research (PEER) Center, and the Earthquake Engineering Research Institute (EERI), for which he led the two damage reconnaissance missions after the 2002 Molise and 2009 L’Aquila Earthquakes.

From 2009 to 2015 he was the Deputy Chair of the Scientific Board of the Global Earthquake Model (GEM) and members of several others international scientific and editorial boards. In the period 2013-2017 he was a member of the Seismic section of the Great Risks Committee appointed by the Italian Prime Minister office and Head of the “Hazard and Risk Assessment” Section at the European Centre for Training and Research in Earthquake Engineering (EUCENTRE) Foundation in Pavia.

He is currently Member of the Working Group for the Review of the Italian Probabilistic Seismic Hazard and Tsunami Maps” that was appointed by the Italian Prime Minister office to provide guidance to the Italian Department of Civil Protection (2017-2019).

He authored more than 150 refereed publications in different engineering areas mostly related to risk assessment.

INSTRUCTOR 2: Paolo Venini: official webpage and CV

INSTITUTION: DICAR (UNIPV)

E-mail: paolo.venini@unipv.it

Voice:  +39 0382 985464

Fax:  +39 0382 985589

Bio: Born in Pavia, December, 19th 1968. Laurea in Civil Engineering (1991) and Mathematics (1997), both summa cum laude, University of Pavia – Master of Science in Civil Engineering, University of Illinois at Urbana Chamapign (1992) – Ph.D. in Structural Engineering (1995), Politecnico di Milano. Assistant Professor in Applied Mechanics (1994-2001) University of Pavia, Associate Professor in Mechanics of Solids and Structures (2001-present) University of Pavia. Habilitation for Full Professor in Mechanics of Solids and Strcutures (2017).

Paolo Venini’s research is focused on structural and topology optimization, finite elements and structural dynamics. Author of 37 papers on high impact factor international journals. Instructor of structural engineering classes on solid and structural mechanics. He is recipient of public as well as private funds in the areas of seismic rehabilitation of structures, fire design, finite elements analysis and design for electro-mechanical applications.

Paolo Venini works also as professional engineer as designer and clerk of works (structural engineering, seismic engineering, enviromental engineering, fire engineering, safety). Research interests: topology optimization of dynamical structures, viscoelasticity and optimization of viscoelastic frames, mixed finite elements, fracture mechanics, system-norm-based optimization.