Thus to estimate lambda from n independent samples x1 xn, Basic Statistics

Thus to estimate lambda from n independent samples x1 xn

Recall that an exponential (λ) random variable X has

Thus, to estimate λ from n independent samples X₁,..., X_n, either of the following techniques should work.

(a) Calculate the sample mean Mn (X) and form the estimate λˆ = 1/M_n(X).

(b) Calculate the unbiased variance estimate V'_n(X) of Theorem 7.11 and form the estimate λ =

Use Matlab to simulate the calculation and for m = 1000 experimental trials to determine which estimate is better.

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Basic Statistics: Thus to estimate lambda from n independent samples x1 xn

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