Probability-Probability Distributions [ISS (Statistical Services) Statistics Paper I]: Questions 92 - 97 of 108
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Question 92
Question MCQ▾
Maximum Likelihood estimator of lognormal distribution for a series of with parameters and are________.
Choices
Choice (4) | Response | |
---|---|---|
a. | and | |
b. | and | |
c. | and | |
d. | Question does not provide sufficient data or is vague |
Question 93
Question MCQ▾
Suppose now that and are real-valued random variables for an experiment, so that is random vector taking values in a subset of Suppose that with and . Then ________.
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 94
Question 95
Question MCQ▾
A three-point estimate of a lognormal distribution parameters and is________.
Choices
Choice (4) | Response | |
---|---|---|
a. | and | |
b. | and | |
c. | and | |
d. | and |
Question 96
Question MCQ▾
is a continuous random variable with density function for is also jointly distributed with the continuous random variable , and the conditional density of given is . Find for
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. | Question does not provide sufficient data or is vague |
Question 97
Question MCQ▾
Suppose that and are independent random variables, and that has the gamma distribution with shape parameter and scale parameter for . Then has the ________distribution with shape parameter________and scale parameter________.
Choices
Choice (4) | Response | |
---|---|---|
a. | Gamma, | |
b. | Gamma, | |
c. | Normal, | |
d. | None of the above |