Statistical Inference and Hypothesis Testing-Sufficient Estimator [ISS (Statistical Services) Statistics Paper II]: Questions 1 - 5 of 8
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Question 1
Question MCQ▾
Let be a random sample from a density function . A statistics
is said to be sufficient statistics if the conditional distribution of given T
Choices
Choice (4) | Response | |
---|---|---|
a. | Independent of | |
b. | Dependent of | |
c. | Independent of S | |
d. | Dependent of |
Question 2
Question MCQ▾
If a statistics is a sufficient statistics for a parameter of the density function , then the conditional distribution of is … of for any value of
Choices
Choice (4) | Response | |
---|---|---|
a. | Dependent | |
b. | Either dependent or Independent | |
c. | Independent | |
d. | All of the above |
Question 3
Question MCQ▾
A statistic is called as ________ Estimator for the parameter θ, if the conditional distribution of given T does not depend on θ.
Choices
Choice (4) | Response | |
---|---|---|
a. | Sufficient | |
b. | Maximum Likelihood estimator | |
c. | Efficient | |
d. | Unbiased |
Question 4
Question MCQ▾
Let be a random sample from a uniform population on . Then the sufficient estimator for is
Choices
Choice (4) | Response | |
---|---|---|
a. | Either (i) or (ii) | |
b. | ||
c. | ||
d. | None of the above |
Question 5
Question MCQ▾
Let be a random sample from . Then the sufficient estimator for is
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. | Question does not provide sufficient data or is vague |