st.statistics – Maximum likelihood estimator of parameter 𝑎

Just wanna find out how to derive the MLE, not sure how to make it right 🙁

You’ve found that the best model to describe the distribution of the data you’re working on is given by the following cdf:

𝐹(𝑡)=𝑃(𝑋≤𝑡)=𝑒−𝑎/𝑡,(𝑡>0)

where 𝑎 is the parameter.

Derive the MLE (maximum likelihood estimator) of parameter 𝑎 in this distribution (for 𝑛 elements sample of independent observations).