proposition 11.72 Nuisance parameters cost information

Rests on

• depends_on definition 11.60 Score and Fisher information ¶
  • depends_on definition 11.53 Statistical model ¶
• depends_on theorem 11.67 Asymptotics of the MLE ¶
  • depends_on corollary 11.51 Weak law of large numbers ¶
    • depends_on lemma 11.50 Markov and Chebyshev inequalities ¶
      • depends_on definition 11.6 Moments, variance, standard deviation ¶
        • depends_on proposition 11.5 Transfer, linearity, monotonicity ¶
      • depends_on proposition 11.5 Transfer, linearity, monotonicity ¶ ↺
      • proves proof ch:09-probability-statistics@proof-18 ¶
    • proves proof ch:09-probability-statistics@proof-19 ¶
  • depends_on definition 11.56 Maximum-likelihood estimator ¶
    • depends_on definition 11.54 Likelihood ¶
      • depends_on definition 11.53 Statistical model ¶ ↺
  • depends_on definition 11.59 Regularity conditions ¶
    • depends_on definition 11.60 Score and Fisher information ¶ ↺
    • depends_on definition 11.53 Statistical model ¶ ↺
  • depends_on lemma 11.61 Score identities ¶
    • depends_on definition 11.60 Score and Fisher information ¶ ↺
    • depends_on definition 11.59 Regularity conditions ¶ ↺
    • proves proof ch:09-probability-statistics@proof-23 ¶
  • depends_on lemma 11.52 Slutsky ¶
    • depends_on definition 11.21 Distribution function ¶
      • depends_on definition 11.20 Density ¶
        • depends_on definition 7.39 Darboux sums and the definite integral ¶
    • proves proof ch:09-probability-statistics@proof-20 ¶
    • proves proof ch:09-probability-statistics@proof-21 ¶
  • depends_on theorem 11.46 Central limit theorem, Lindeberg–Lévy ¶
    • depends_on lemma 11.44 Second-order expansion ¶
      • depends_on definition 11.42 Characteristic function ¶
      • proves proof ch:09-probability-statistics@proof-16 ¶
    • depends_on proposition 11.43 Elementary properties ¶
      • depends_on definition 11.42 Characteristic function ¶ ↺
      • proves proof ch:09-probability-statistics@proof-15 ¶
    • depends_on theorem 11.45 Lévy's continuity theorem ¶
      • depends_on definition 11.42 Characteristic function ¶ ↺
      • proves proof ch:09-probability-statistics@prooflink-1 ¶
    • proves proof ch:09-probability-statistics@proof-17 ¶
  • proves proof ch:09-probability-statistics@proof-27 ¶
  • proves proof ch:09-probability-statistics@proof-29 ¶
• proves proof ch:09-probability-statistics@proof-31 ¶

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