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17-10-2022
Mathematics

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suppose we have a sample of n from the multinomial(1,θ, 2θ , 1 − 3θ) distribution, where θ ∈ 9 0, 1/3 : is unknown. determine the form of the likelihood function and show that x1 x2 is a minimal sufficient statistic where xi is the number of sample values corresponding to an observation in the ith category. (hint: problem 6.1.23.)

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