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Category > Statistics Posted 06 May 2017 My Price 5.00

Let X1 , Xi, and X 3 have the multinomial distribution

 

6.4.  Let  X1 ,  Xi, and X 3  have  the multinomial  distribution  in which  n = 25, k = 4,  and  the  unknown   probabilities  are  8i,  82 ,   and  83,  respectively. Here    we    can,    for    convenience,    let    X4  = 25 - X , - X2  - X 3      and 8, = 1 - 81  - 82  - 83 •  If the observed  values of the random  variables are x 1  = 4, x2  = 11, and x3  = 7, find the maximum  likelihood  estimates of 81, 82 ,  and  83.

6.5.The Pareto distribution is frequently used as a model in study of incomes and has the distribution function

 

         81  <>x, zero elsewhere, where 81 > 0         and                           82  > 0.

If X1 , X2 , •  •  •  , X11    is  a  random  sample  from  this  distribution,  find  the maximum  likelihood  estimators of 81  and  82 •

 

 
 

Answers

Alpha Geek
(8)
Status NEW Posted 06 May 2017 04:05 PM My Price 5.00

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file 1494088829-Answer.docx preview (155 words )
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