Results 1 to 7 of 7

Math Help - Assume that the time of failure..

  1. #1
    Banned
    Joined
    Dec 2008
    From
    Mauritius
    Posts
    523

    Assume that the time of failure..

    Question : Assume that the time of failure, X of a telephone switching system follows exponential distribution with a failure rate \lambda.Estimate the maximum likelihood failure rate \lambda from a random sample of n times to failure
    ------------------------------------------------------------------------------------------------------------------

    can any one provide me with the maximum failure rate of exponential distribution
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by zorro View Post
    Question : Assume that the time of failure, X of a telephone switching system follows exponential distribution with a failure rate \lambda.Estimate the maximum likelihood failure rate \lambda from a random sample of n times to failure
    ------------------------------------------------------------------------------------------------------------------

    can any one provide me with the maximum failure rate of exponential distribution
    The question is simply asking you to find the maximum likelihood estimator of the parameter in an exponential distribution. How to do something like this has been explained in other threads started by you. Please use them as a guide to answering this question.

    If you get stuck, please show ALL of your working and say where you are stuck.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Banned
    Joined
    Dec 2008
    From
    Mauritius
    Posts
    523
    <br />
\frac{d[ln \ L( \theta)]}{d \theta} = - \frac{n}{\theta}+\frac{1}{\theta^2} \sum_{i=1}^{n} x_i

    But after this i am stuck what should i do now??????
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by zorro View Post
    <br />
\frac{d[ln \ L( \theta)]}{d \theta} = - \frac{n}{\theta}+\frac{1}{\theta^2} \sum_{i=1}^{n} x_i

    But after this i am stuck what should i do now??????
    Do you understand what you're meant to do with the likelihood function? What does post #4 here: http://www.mathhelpforum.com/math-he...ival-rate.html

    say you have to do.

    You are meant to have done several of these (you have posted several). Go and review this material in your class notes or textbook.

    By the way,
    please show ALL of your working and say where you are stuck
    does not mean show the final line of your working.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Banned
    Joined
    Dec 2008
    From
    Mauritius
    Posts
    523
    But that link which u provided is for poisson distribution and here we have to use exponential distribution how are they similar
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by zorro View Post
    But that link which u provided is for poisson distribution and here we have to use exponential distribution how are they similar
    The process of finding a maximum likelihood estimator is the same for all distributions. Do you understand this?

    You are meant to learn from previous examples (experience) and apply what you have learned from them to the next problem.
    Follow Math Help Forum on Facebook and Google+

  7. #7
    MHF Contributor matheagle's Avatar
    Joined
    Feb 2009
    Posts
    2,763
    Thanks
    5
    Quote Originally Posted by zorro View Post
    <br />
\frac{d[ln \ L( \theta)]}{d \theta} = - \frac{n}{\theta}+\frac{1}{\theta^2} \sum_{i=1}^{n} x_i

    But after this i am stuck what should i do now??????
    calc 1, set equal to zero, zero
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 5
    Last Post: December 8th 2011, 08:16 AM
  2. failure time
    Posted in the Advanced Statistics Forum
    Replies: 3
    Last Post: June 11th 2010, 03:23 AM
  3. m file failure?
    Posted in the Math Software Forum
    Replies: 18
    Last Post: April 26th 2010, 04:15 AM
  4. Replies: 2
    Last Post: September 24th 2009, 08:02 AM
  5. Replies: 1
    Last Post: December 13th 2008, 06:12 AM

Search Tags


/mathhelpforum @mathhelpforum