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Math Help - Exponential Distribution general and practical example

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    Exponential Distribution general and practical example

    (a)Suppose we obtain a random sample Y1, Y2, . . . , Yn from an Exponential(μ) distribution. Using the log–likelihood function, find an expression for the maximum likelihood estimator for μ.

    (b) Suppose the time interval between arrivals of buses at rush–hour at a bus–stop is thought to follow an Exponential(μ) distribution. The first 10 inter–arrival times (in minutes) are observed to be:

    4.2, 3.6, 3.0, 9.0, 1.3, 0.8, 2.7, 2.1, 1.8, 1.5.

    Find the maximum likelihood estimate for μ. What assumption have you made about the ten measurements?
    Last edited by sirellwood; October 19th 2009 at 03:31 PM.
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    MHF Contributor matheagle's Avatar
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    It makes a big difference how you write you exponential density.
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