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Exponential distribution likelihood

  1. Feb 17, 2009 #1
    In general what do you do when some kind of data is missing from some data that follows exponential distribution. For example, say 3 observations are made by an instrument where x1=5, x2=3, but for x3 the instrument can not give a specific answer because it cant measure past 10. So the only info we have about x3 is that x3>10. How can we come up with a likelihood function of lambda for this data (which is exponential distributed)? do we just use x3=10, or what?
     
  2. jcsd
  3. Feb 20, 2009 #2
    This is censored data (since we know there were 3 observations):

    do the likelihood function as follows:

    f(5)*f(3)*(1 - F(10))
     
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