Consider the following probability distribution function with parameters
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Consider the following probability distribution function with parameters

Problem 7

Consider the following probability distribution function with parameters λ and µ.


(a) Find the maximum likelihood estimators of λ and µ based on a random sample x1, x2, · · · , xn.

(b) Suppose that n = 3, and x1 = 1.7538, x2 = 3.0649, x3 = 2.4183. Calculate the values of λˆ and ˆµ.

Hint
StatisticsProbability distribution is a statistical function which describes all the possible values and the likelihoods which a random variable could take within a range that is given. These distributions come in several shapes with various characteristics, that are defined by the mean, standard deviation, skewness, and also kurtosis. ...

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