When looking for a maximum likelihood estimator for the Uniform distribution I noticed that a common method is to use an indicator function. My initial understanding is that the reason for that is for taking into account the region of ℝ that x produces - or not - a non-zero probability.(adsbygoogle = window.adsbygoogle || []).push({});

If I go on finding the maximum likelihood function without involving an indicator function in the math and then in the end only mention the boundaries of effect of the result, is it correct?

I'd be happy if I can avoid it (correctly) because I find the indicator function method very unintuitive for my style.

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# Can I omit using an indicator function when estimating an MLE?

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