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The probability mass function has different probabilities fordifferent x P(x) =

ID: 2914354 • Letter: T

Question

The probability mass function has different probabilities fordifferent x P(x) =       2/3     when x = 0                   /3      when x = 1                2(1-)/3 when x = 2                  (1-)/3 when x =3 the data of 10 obervations are given: 0, 0,1,1,1,2,2,2,3,3, I need to find using the maximum liklihoodmethod I know how this method works but I'm stuck at the first stepwhere I need to find the expression for Lik(). Usually Lik() = the multiplication of "the" massfunction n times, but here I have more than one mass functionso what do I need todo?          The probability mass function has different probabilities fordifferent x P(x) =       2/3     when x = 0                   /3      when x = 1                2(1-)/3 when x = 2                  (1-)/3 when x =3 the data of 10 obervations are given: 0, 0,1,1,1,2,2,2,3,3, I need to find using the maximum liklihoodmethod I know how this method works but I'm stuck at the first stepwhere I need to find the expression for Lik(). Usually Lik() = the multiplication of "the" massfunction n times, but here I have more than one mass functionso what do I need todo?         

Explanation / Answer

this is actually wrong... I found out later that for amutinomial distribution instead of multiplying theprobabilities by it's frequency we have to put it to apower. Example, since the observation 0 appears 2 timesand
x = 0 has a probability of (2/3) weneed to do (2/3)^2 instead of 2(2/3) and soon...
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