ISS (Statistical Services) Statistics Paper II: Questions 130 - 134 of 402
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Question 130
Question MCQ▾
Consider the general form of confidence interval for the mean .
In this expression is known as … and is known as …
Choices
Choice (4) | Response | |
---|---|---|
a. | Critical value, Standard Deviation | |
b. | Point estimate, Critical Value - standard error | |
c. | Control limit, variance | |
d. | All of the above |
Question 131
Question MCQ▾
If the expected value of an estimator is not equal to its parametric function , it is said to be a
Choices
Choice (4) | Response | |
---|---|---|
a. | Sufficient estimator | |
b. | Unbiased estimator | |
c. | Consistent estimator | |
d. | Biased estimator |
Question 132
Question MCQ▾
Which of the following results are true for Minimum Variance Unbiased Estimator (MVUE) -
Choices
Choice (4) | Response | |
---|---|---|
a. | If nd are MVUE of and then will be an MVUE of | |
b. | MVUE is unique | |
c. | The correlation coefficient between a most efficient estimator and any other estimator with efficiency is . | |
d. | All a., b. and c. are correct |
Question 133
Question MCQ▾
If an estimator of population parameter converges in probability to as n tends to infinity is said to be
Choices
Choice (4) | Response | |
---|---|---|
a. | Consistent | |
b. | Unbiased | |
c. | Sufficient | |
d. | Efficient |
Question 134
Question MCQ▾
Which of the following properties of MLE is not correct?
Choices
Choice (4) | Response | |
---|---|---|
a. | MLE is always unique | |
b. | If a sufficient statistic exists, it is a function of the Maximum Likelihood estimators. | |
c. | If a minimum variance bound (MVB) unbiased estimator exists, maximum likelihood estimator provides it. | |
d. | When maximum likelihood estimators exists, it is most efficient for large samples under the assumptions that the distribution of the estimators tends to normal. |