
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Find, using the method of maximum likelihood, the point estimate of the unknown parameter \(\lambda\) of the exponential distribution, whose density function is \( f(x) = \lambda \mathrm{e}^{-\lambda x} \) for \( x \geqslant 0 \), based on the sample \( x_{1}, x_{2}, \ldots, x_{n} \).

Present the answer in LaTex format: \boxed{Your answer}
user