3. Consider a single observation X from a population with density function e(t o) f(:1; 0) (1+elt ))2 - <3 <0,-<< (a) Sh
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- 3 Consider A Single Observation X From A Population With Density Function E T O F 1 0 1 Elt 2 3 0 A Sh 1 (31.15 KiB) Viewed 22 times
3. Consider a single observation X from a population with density function e(t o) f(:1; 0) (1+elt ))2 - <3 <0,-<< (a) Show that this family has a monotone likelihood ratio. (b) Based on one observation X, find the most powerful test of size a = 0.1 for = H: 0=0 against H4:0=1 (c) Find the power of the test from (b). (d) Find the uniformly most powerful test of size a= 0.1 for testing Ho: 0<0 against HQ:0 > 0