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In a likelihood function,we would like to find out the parameter for the observed events.However,

1)how could we know if we don't have the distribution of the events?

Also,

2)what if we have 2 possible distribution for that particular events to be observed,how do we deduce for the parameter??

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It doesn't make sense to speak of a likelihood function unless one has at least two possible distributions in mind. Usually one has a parametrized family of distributions and the argument to the likelihood function is the parameter. –  Michael Hardy Feb 16 '12 at 1:59
    
What if there are 2 possible distribution for that event to be observed? –  Mathematics Feb 16 '12 at 2:09
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