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POINT ESTIMATOR OF PARAMETERS Definition 15.2. Let X ~𝑓 𝑥, 𝜃 𝑎𝑛𝑑 𝑥1, 𝑥2, 𝑥3, 𝑥4, …. 𝑥𝑛, be a random sample from the population X. Any statistic that can be used to guess the parameter 𝜃 is called an estimator of 𝜃. The numerical value of this statistic is called an estimate of 𝜃. The estimator of the parameter 𝜃 is denoted by𝜃. One of the basic problems is how to find an estimator of population parameter 𝜃. There are several methods for finding an estimator of 𝜃. Some of these methods are: (1) Maximum Likelihood Method (2) Moment Method (3) Bayes Method (4) Least Squares Method (5) Minimum Chi-Squares Method (6) Minimum Distance Method 15.1. Moment Method Example 15.4. Let X1,X2, ...,Xn be a random sample of size n from a population X with probability density function 15.2. Maximum Likelihood Method Example 15.9. If X1,X2, ...,Xn is a random sample from a distribution with density function