{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Lab 11 - CE 93 Spring 2011 Prof Joan Walker CE 93 Lab 11...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
CE 93 Spring 2011 Prof. Joan Walker 1 CE 93 Lab 11 (Apr 13, 2011) Part I) Illustration of maximum likelihood estimation The number of accidents occurring weekly on a particular stretch of a highway has a Poisson distribution. From historical data we randomly picked ten weeks records, as follows: 4 3 5 0 2 4 6 1 3 4 1. What are the likelihood function and log-likelihood function? 2. Determine the maximum likelihood estimator of the parameter λ . 3. Plot L( λ ) and LL( λ ) respectively against λ , for values of λ ranging from 1 to 10. You will observe the log transformation does not change the point where the maximum value in the respective functions is achieved. Part II) Confidence interval of unknown parameters of Normal distribution Suppose that we know that the concrete cube compressive strength (in N/mm^2) at 28 days is normally distributed, and you measured ten such cubes whose compressive strengths are 64.9, 48.6, 69.1, 78.2, 55.1, 70.6, 74.5, 46.1, 47.6, 67.7.
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern