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University
| Teaching Since: | Apr 2017 |
| Last Sign in: | 471 Weeks Ago |
| Questions Answered: | 9562 |
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bachelor in business administration
Polytechnic State University Sanluis
Jan-2006 - Nov-2010
CPA
Polytechnic State University
Jan-2012 - Nov-2016
Professor
Harvard Square Academy (HS2)
Mar-2012 - Present
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 •
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