Question

Let X be a geometric random variable with parameter p. Find the maxiμm likelihood estimator of p based on a random sample of size n.

a) (n/x)
b) (1/n)
c) (x/n)
d) (n/x+1)
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Answer 1

The maximum likelihood estimator of the parameter p for a geometric random variable X can be found using the formula (n/x), where n is the sample size and x is the number of successes in the sample.

The correct answer is A.

Step-by-step explanation:

Maximum Likelihood Estimator for Geometric Random Variable

The maximum likelihood estimator of the parameter p based on a random sample of size n for a geometric random variable X can be found using the formula:

(n/x)

where n is the sample size and x is the number of successes in the sample. This estimator is the ratio of the sample size to the number of successes.