# Questions tagged [maximum-likelihood]

a method of estimating parameters of a statistical model by choosing the parameter value that optimizes the probability of observing the given sample.

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### MLE estimator for Poisson Variable [closed]

Let $X_1,\dots,X_n$ be an random sample of a Poisson process with unknow mean $\mu$. How can we find an estimator for $p(0)+p(1)$? This is the first time i see an exercise like that, so i don't have ...
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### Why does setting the derivative of a likelihood function equal to 0 maximize the likelihood function? [migrated]

I'm learning from a statistics tutorial which defines a likelihood function as \begin{align} L(1,3,2,2; \theta)=27 \cdot \theta^{8} (1-\theta)^{4} \tag{1} \end{align} and then the tutorial sets the ...
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### Using Sigmoid in Maximum Likelihood Estimates [duplicate]

I have two questions regarding the use of Sigmoid in MLE: Clearly, the Sigmoid Function is not a PDF. But in the MLE of Logistic Regression, we see Sigmoid being used as if it is a PDF. Is my ...