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Math Help - Problem understanding the which distribution to use

  1. #1
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    Problem understanding the which distribution to use

    Assume that the time of failure T of a telephone switching system is exponentially distributed with a failure rate \lambda. Find the maximum likelihood estimate of the failure rate from a random sample T_1 = t_1, T_2 = t_2, ...........T_n=t_n of a n times to failure.


    I dont know whether to use exponential as stated in the question or to use Poisson as the parameter passed is of possion !!!!!!!!!!
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  2. #2
    MHF Contributor matheagle's Avatar
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    forget the Poisson.
    Just get the MLE of lambda where you have a random sample from an exponential distribution
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  3. #3
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    Quote Originally Posted by flintstone View Post
    Assume that the time of failure T of a telephone switching system is exponentially distributed with a failure rate \lambda. Find the maximum likelihood estimate of the failure rate from a random sample T_1 = t_1, T_2 = t_2, ...........T_n=t_n of a n times to failure.


    I dont know whether to use exponential as stated in the question or to use Poisson as the parameter passed is of possion !!!!!!!!!!
    This question was dealt with here: http://www.mathhelpforum.com/math-he...e-failure.html

    Thread closed.
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