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