Two Expository Notes On Statistical Inference Generalized Maximum Likelihood Me
Two Expository Notes On Statistical Inference Generalized Maximum Likelihood Me
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60; upper 70. 5%limit: . 63; ... ; upper 99. 2% limit: •74« ^•' •-:/^ T . ( !
Sj h t t -^^ tSUiOS Oij ;. «r. » SB i& 1 « ■ f «li' t tal 18 3« Interpretations of confidence curve estimates . The range and flexibility of possible interpretations of a confidence curve estimate can be illustrated by considering another example, shown in Figure 2, This confidence curve is an estimate of the mean © of a normal distribution with known standard deviation cr= 5> based on a sample of n = Ij. Independent ...observations y. Whose sample mean is t = y = 5» Thus Figure 2 is the graph of the confidence cx:irve estimate c(Q, t) = c(0, 5) = ]^(-( •![. ) lo-5 1 )• (The same estimate would arise in the following different problems: Let 9 = \ip-[i.^ be the unknown difference between two raeans \i. Of normal distributions with known standard deviations cr--, s cri; and suppose that a difference of independent sample means yp - y-j = 5 is observed, based on sample sizes n, n2, such that \/a-l/n^ +or|/n2 = 2.
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To quickly assess the difficulty of the text, read a short excerpt:
60; upper 70. 5%limit: . 63; ... ; upper 99. 2% limit: •74« ^•' •-:/^ T . ( !
Sj h t t -^^ tSUiOS Oij ;. «r. » SB i& 1 « ■ f «li' t tal 18 3« Interpretations of confidence curve estimates . The range and flexibility of possible interpretations of a confidence curve estimate can be illustrated by considering another example, shown in Figure 2, This confidence curve is an estimate of the mean © of a normal distribution with known standard deviation cr= 5> based on a sample of n = Ij. Independent ...observations y. Whose sample mean is t = y = 5» Thus Figure 2 is the graph of the confidence cx:irve estimate c(Q, t) = c(0, 5) = ]^(-( •
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