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Question 157 MSQ · 3.0 marks
Consider an Accept-Reject method to draw samples from Beta(3, 4) distribution. Which among the
following can act as a proposal distribution? Select all that apply:
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Normal(0, 4)
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Uniform(0, 1/2)
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Bernoulli{0, 1}
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F(2, 2)
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Beta(0.5, 0.5)
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The mixed congruential method is used to generate pseudorandom draw of size 1000 from U(0, 1).
The histogram for the 1000 generated pseudorandom numbers is as follows:
By visualizing the plotted histogram, do the pseudorandom draws appear to be i.i.d U(0, 1)
distributed?
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Yes
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No
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Insufficient information
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To generate pseudorandom draws using the multiplicative congruential method, we have set seed
= 5, a = 7 and m = 4. After how many steps, will the deterministic sequence follows?
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Use the following information and answer the given subquestions.
Which of the following is/are true about the given code snippet?
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Both Inverse Transform and Accept-Reject algorithms are implemented.
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Only one of Inverse Transform and Accept-Reject algorithms are implemented.
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The given implemented Accept-Reject is correct as the support of function g is
the same as that of function f.
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The given implemented Accept-Reject is incorrect for the given function f and
g.
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The given implemented Inverse Transform algorithm is correct as the
cumulative distribution function of f is invertible.
**Advanced Algorithms**
**Section Id :** 64065339133
**Section Number :** 9
**Section type :** Online
**Mandatory or Optional :** Mandatory
**Number of Questions :** 12
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