basic statistic and probability theory in civil engineering system
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Intro to Basic Statistics & Probability
Theory in Civil Engineering Systems
Department of Civil Engineering
Graduate Program
University of Indonesia
27 September 2013
Iwan Renadi S Ir. MSCE Ph.D.
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Basic Statistics & Probability Theory
in
Civil Engineering Systems[PART-1]
1.Why Statistics and Probability inEngineering?
2.Decision Problems in Engineering
3.Examples
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Why Statistics and Probability in Engineering?
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Why Statistics and Probability in Engineering?
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Why Statistics and Probability in Engineering?
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Why Statistics and Probability in Engineering?
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Why Statistics and Probability in Engineering?
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Why Statistics and Probability in Engineering?
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Why Statistics and Probability in Engineering?
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Why Statistics and Probability in Engineering?
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Why Statistics and Probability in Engineering?
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Why Statistics and Probability in Engineering?
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Why Statistics and Probability in Engineering?
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Why Statistics and Probability in Engineering?
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Why Statistics and Probability in Engineering?
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Decision Problems in Engineering?
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Decision Problems in Engineering?
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Decision Problems in Engineering?
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Decision Problems in Engineering?
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Decision Problems in Engineering?
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Basic Statistics & Probability Theory
in
Civil Engineering Systems[PART-2]
1. Risk and Motivation for Risk Assessment
2. Overview of Probability Theory3. Interpretation of Probability
4. Sample Space and Events
5. The Three Axioms of Probability Theory6. Conditional Probability and Bayess Rule
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Overview of Probability Theory
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Interpretation of Probability
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Interpretation of Probability
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Interpretation of Probability
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Interpretation of Probability
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Sample Space and Events
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Sample Space and Events
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Sample Space and Events
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Sample Space and Events
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Sample Space and Events
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Sample Space and Events
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The Three Axioms of Probability
Theory
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Conditional Probability and Bayess Rule
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Conditional Probability and Bayess Rule
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Conditional Probability and Bayess Rule
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Conditional Probability and Bayess Rule
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Conditional Probability and Bayess Rule
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Conditional Probability and Bayess Rule
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Conditional Probability and Bayess Rule
B i St ti ti & P b bilit Th
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Basic Statistics & Probability Theory
in
Civil Engineering Systems
[PART-3]
1. Overview of Uncertainty Modeling
2. Random Variables3. Extreme Value Distribution
4. Probability Density Function in Statistics
5. Basics of Reliability Analysis6. Decision Analysis in Engineering
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Overview of Uncertainty Modeling
Random variables and their characteristics
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Tools in Uncertainty Modeling
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Overview of Uncertainty Modeling
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Overview of Uncertainty Modeling
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Overview of Uncertainty Modeling
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Overview of Uncertainty Modeling
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Random Variable
W = 1/6 bh2
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What is Random Variable?
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What is Random Variable?
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What is Random Variable?
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What is Random Variable?
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What is Random Variable?
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What is Random Variable?
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What is Random Variable?
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The Decision Context
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What are we doing today?
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What are we doing today?
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What are we doing today?
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Extreme Value Distributions
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Extreme Value Distributions
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Extreme Value Distributions
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Return Period
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Return Period
Probability Density Functions in
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Probability Density Functions in
Statistics
Probability Density Functions in
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Probability Density Functions in
Statistics