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Assignment chapter 2 Solution

Single-parameter models

    (1) Estimating a probability from binomial data (2.1)

    (2) Posterior, data, and prior (2.2-2.3)

    (3) Informative prior: conjugate prior and non-conjugate prior (2.4)

    (4) Estimating normal mean with variance is known (2.5)

    (5) Normal distribution with known mean and unknown variance, Poisson distribution, Exponential distribution (2.6)
    (6) Example: cancer rate (2.7)

    (7) Noninformative prior (2.8)



R Examples:

    1. R code for binomial data and normal data

    2. Chapter 2—3, “Bayesian Computation with R”



Homework:

    1. Sec  Exercise: 2.1 (5 pts), 2.5 (20 pts), and 2.20 (15 pts)

    2. Programming: 2.11 (20 pts)

    3. Reading Assignment: Chapter 2 of textbook, Chapter 2—3 of “Bayesian Computation with R”.

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