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You have collected data that are exponentially distributed:  pdf f(x)= θexp(-xθ), x>0. 0.1, 0.2, 0.3, 0.4, 0.5,...

You have collected data that are exponentially distributed:  pdf f(x)= θexp(-xθ), x>0.

0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, and 1.0.

1) Determine the maximum likelihood estimation of θ.

2) Implement the central limit theorem to obtain a 95% CI for θ.

Math   Statistics-And-Probability   
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