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viii INDICE 6.3.7 Loadings, rotazioni, interpretazioni . . . . . . . . . . . . . . . . . . . . 347 6.3.8 FA e PCA . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 348 6.3.9 I comandi di R. Linguaggio . . . . . . . . . . . . . . . . . . . . . . . . 349 6.4 Metodi di classi…cazione e clustering . . . . . . . . . . . . . . . . . . . . . . . 349 6.4.1 Regressione logistica . . . . . . . . . . . . . . . . . . . . . . . . . . . . 349 6.4.2 Formulazione probabilistica del problema decisionale e regola di Bayes 352 6.4.3 Classi…cazione: idee generali . . . . . . . . . . . . . . . . . . . . . . . 354 6.4.4 Classi…cazione bayesiana . . . . . . . . . . . . . . . . . . . . . . . . . . 355 6.4.5 Il caso gaussiano e la Linear Discriminant Analysis . . . . . . . . . . . 356 6.4.6 Clustering . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 357 6.5 Esercizi . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 359 6.5.1 Esercizio n. 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 359 6.5.2 Esercizio n. 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 362 6.5.3 Esercizio n. 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 365 6.5.4 Esercizio n. 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 368 6.5.5 Esercizio n. 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 370 6.5.6 Esercizio n. 6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 373
Prefazione Il materiale qui raccolto ha la forma di appunti più che di libro organico. Il testo è pensato per le lauree magistrali in Ingegneria e raccoglie materiale utilizzato in numerosi corsi in anni recenti. Alcune parti devono molto al contributo di alcuni collaboratori e di numerosi studenti; in particolare merita di essere ricordato il contributo di Michele Barsanti alle due sezioni sull’analisi di Fourier dei processi stocastici, oltre che a vari altri punti ed esercizi, di Michele Tocchet alla sezione sul metodo PCA, di Giuseppe Matisi e Lorenzo Doccini ad alcuni esercizi di statistica multivariata (4 e 5). ix
Page 1: Elementi di Probabilità, Statistic
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146 CAPITOLO 3. PROCESSI STOCASTICI
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190 CAPITOLO 4. ANALISI E PREVISION
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266 CAPITOLO 5. SISTEMI MARKOVIANI
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320 CAPITOLO 6. STATISTICA MULTIVAR
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