Let X1, . . ., Xn be a random sample of size n from the exponential distribution whose pdf (by taking y = 1/β in Definition 2.3.7) is

(a) Use the method of moments to find a point estimator for θ.
(b) The following data represent the time intervals between the emissions of beta particles.

Assuming the data follow an exponential distribution, obtain a moment estimate for the parameter θ. Interpret.

Transcribed Image Text:

0. <0 0.9 0. 0.1 08 0.9 0. 0 0.7 1.0 0.2 0.1 0.1 0.1 2.3 08 0.3 0.2 0. 1.0 0.9 0.1 0.5 04 0.6 0.2 0.4 0.2 0.1 08 0.2 0.5 3.0 10 05 0.2 2.0 17 0.1 03 0.1 0.4 0.5 08 0. 0. 7 0 0.2 0.3 0.1