Let us assume that duration of epidemic-induced unemployment in a given country, in months, follows a uniform distributi

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Let Us Assume That Duration Of Epidemic Induced Unemployment In A Given Country In Months Follows A Uniform Distributi 1 (118.25 KiB) Viewed 70 times

Let us assume that duration of epidemic-induced unemployment in a given country, in months, follows a uniform distribution over the range (0,0] for workers previously employed in production and a uniform distribution over the range (0, 1.50] for workers previously employed in services, where 0 > 0 is an unknown parameter. Policymakers are interested in estimating the value of this parameter, based on random independent samples of 6 observations for workers previously employed in production and 4 observations for workers previously employed in services. • Let (1) = (2) 2 X+ Ý, 2 and (3) ôz = be three estimators of the parameter 8. The bias of estimator 03 amounts to From among the three estimators, estimator has the highest variance and estimator has the lowest MSE. • The VALUE of the Maximum Likelihood estimator of parameter 0, based on the following joint random sample of observations: X1 = 5, X2 = 3, X3 = 4, X4 = 1, X5 = 7, X6 = 6 for those previously employed in production, and Y = 5, Y2 = 6,Y3 = 8,74 = 2 for those previously employed in services. amounts to ÔML Note. Please input numbers in decimal notation, rounded to two digits. When providing formulas, please use the word "theta" for 0, please avoid spaces, use" for powers, * for multiplication (but avoid unnecessary multiplication signs, as in for example 170 ) and / for division.