Italicize the y-axis label in the expression part in Example 7.3.1.

Data from in Example 7.3.1

Suppose X ∼ b(100, p), and we have four statistics/estimators, see Table 7.2, for estimation of p. To verify that the risk functions  are correctly given in the table, let us check them out:

Verify that the risk function for χ₄ is indeed as given by R( p, χ₄) in Table 7.2.

Transcribed Image Text:

E(-p)² = (p-0.25)², 2 X E(6₁-p)² = E(-p) = EX-py² = P(1-P) P n +3 E(6₂ − p)² = E(X + ³ − p)² = -2E((X - np)² + 2 × 3 × (X− n) + 3²) - n 9 + np(1-P) n²