Question: (a) Compare and contrast the following: (i) sample vs. sample realization, (ii) estimator vs. estimate, (iii) distribution of the sample vs. likelihood function. (b) Explain

(a) Compare and contrast the following: (i) sample vs. sample realization, (ii) estimator vs. estimate, (iii) distribution of the sample vs. likelihood function.

(b) Explain briefly why frequentist estimation (point and interval), testing, and prediction are primarily based on mappings between the sample and parameter spaces.

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