Question 3 Which of the following statements is/are true? (1) For any given distribution and its associated parameters, the method of moments estimators are always consistent. (1I) All normally...


Question 3<br>Which of the following statements is/are true?<br>(1) For any given distribution and its associated parameters, the method of moments estimators are<br>always consistent.<br>(1I) All normally distributed random variables are complete.<br>(11I) The sample mean is always a sufficient statistic for the population mean.<br>(IV) If an estimator 0 is found to be the MVUE of a parameter 0, then the variance of any other<br>unbiased estimator, 0, is necessarily larger than the variance of 0.<br>(V) For any given distribution and its associated parameters, the method of moment estimators may<br>not be efficient nor unique.<br>O (1). (IV) and (V) only<br>O (I1), (I1) and (IV) only<br>O ) and (I1) only<br>O (I) and (IV) only<br>O (1) and (V) only<br>

Extracted text: Question 3 Which of the following statements is/are true? (1) For any given distribution and its associated parameters, the method of moments estimators are always consistent. (1I) All normally distributed random variables are complete. (11I) The sample mean is always a sufficient statistic for the population mean. (IV) If an estimator 0 is found to be the MVUE of a parameter 0, then the variance of any other unbiased estimator, 0, is necessarily larger than the variance of 0. (V) For any given distribution and its associated parameters, the method of moment estimators may not be efficient nor unique. O (1). (IV) and (V) only O (I1), (I1) and (IV) only O ) and (I1) only O (I) and (IV) only O (1) and (V) only

Jun 08, 2022
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