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Apr 21, 2020 at 4:21 comment added DglPr Apprecited.Thank you for your time and effort for the clarification.
Apr 21, 2020 at 4:09 comment added Michael Hardy @DglPr : You can add the MLEs of $\mu$ and $\sigma$ to get the MLE of $\mu+\sigma$ because that is what equivariance of MLEs says.
Apr 21, 2020 at 4:07 comment added Michael Hardy @DglPr : A function increases on intervals where its derivative is positive and decreases on intervals where its derivative is negative. $\qquad$
Apr 21, 2020 at 3:58 comment added DglPr Thank you. what principle lies behind the postive, negative and zero value assign to the partial with respect to σ .In the next question MLE for μ+σ, is it ok to add two ML of μ and σ?
Apr 20, 2020 at 22:05 history answered Michael Hardy CC BY-SA 4.0