Recursive Bayesian Estimation

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Recursive Bayesian estimation is a general probabilistic approach for estimating an unknown probability density function recursively over time using incoming measurements and a mathematical process model.The true state x is assumed to be an unobserved Markov process, and the measurements z are the observed states of a Hidden Markov Model (HMM). The following picture presents a Bayesian Network of a HMM. Because of the Markov assumption, the probability of the current true state given the immediately previous one is conditionally independent of the other earlier states. p(textbf{x}k textbf{x}{k-1},textbf{x}{k-2},dots,textbf{x}0) = p(textbf{x}k textbf{x}{k-1} ), Similarly, the measurement at the k-th timestep is dependent only upon the current state, so is conditionally independent of all other states given the current state.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786131306624
    • Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
    • Größe H220mm x B220mm
    • EAN 9786131306624
    • Format Fachbuch
    • Titel Recursive Bayesian Estimation
    • Herausgeber Betascript Publishing
    • Anzahl Seiten 104
    • Genre Mathematik

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