2. a) Based on a random sample Y, = 6.3, Y, = 1.8, Y3 = 14.2 and Y4 = 7.6, use the method of maximum likelihood to estimate the parameter e in the uniform pdf 0


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2.<br>a)<br>Based on a random sample Y, = 6.3, Y, = 1.8, Y3 = 14.2 and Y4 = 7.6, use the method of maximum<br>likelihood to estimate the parameter e in the uniform pdf<br>0 <y<0<br>f (y) =<br>elsewhere<br>b)<br>Suppose the random sample in (a) represents the two parameter uniform pdf<br>0, < ys0,<br>ƒ(y)=<br>elsewhere<br>Find the MLES for 0, and 02.<br>

Extracted text: 2. a) Based on a random sample Y, = 6.3, Y, = 1.8, Y3 = 14.2 and Y4 = 7.6, use the method of maximum likelihood to estimate the parameter e in the uniform pdf 0 <><0 f="" (y)="elsewhere" b)="" suppose="" the="" random="" sample="" in="" (a)="" represents="" the="" two="" parameter="" uniform="" pdf="" 0,="">< ys0,="" ƒ(y)="elsewhere" find="" the="" mles="" for="" 0,="" and="">
d)<br>Show that whether 0 = Y is sufficient or not.<br>max<br>e)<br>Show that whether 0 = Y is consistent or not.<br>max<br>c)<br>Show that whether 0 = Y, is unbiased or not. If biased find an unbiased estimator for 0.<br>max<br>

Extracted text: d) Show that whether 0 = Y is sufficient or not. max e) Show that whether 0 = Y is consistent or not. max c) Show that whether 0 = Y, is unbiased or not. If biased find an unbiased estimator for 0. max

Jun 09, 2022
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