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Exercice 1: Consider a random variable X with the following probabilities distribution: 2 where α1 and...
![Exercice 1: Consider a random variable X with the following probabilities distribution: 2 where α1 and α2 are parameters such that 0 < αι < 1,0 < α2 < 1 and αί+a2 1. 1) Compute E[X] and E[X21. 2) Find aǐ and , two estimators of α1 and α2, using the Method of Moments. 3) We assume that: 7t 7 1 1-1 i=1 is as unbiased?](http://img.homeworklib.com/questions/4b93e360-fa40-11eb-9b72-119d04c238c9.png?x-oss-process=image/resize,w_560)
Exercice 1: Consider a random variable X with the following probabilities distribution: 2 where α1 and α2 are parameters such that 0 < αι < 1,0 < α2 < 1 and αί+a2 1. 1) Compute E[X] and E[X21. 2) Find aǐ and , two estimators of α1 and α2, using the Method of Moments. 3) We assume that: 7t 7 1 1-1 i=1 is as unbiased?
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