Assume that =( 1, 2, 3, 4) is a random sample (see page 5 of the handout) ofthe distribution (0, ), where >0 is the parameter. Assume that data have beenobtained in response to this =(11.56,9.39,13.37,6.36)Suppose we know with certainty that <20. Let’s use the uniform distribution ( ) between 0,20 as the prior distribution. i) Calculate the likelihood function |→ ( | ) while justifying why ( | )=0 when <13.37. ii) Calculate thedensity function |
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