Rational characteristic functions and markov chains
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Abstract 1 We investigate in this paper how to estimate the density function of a random variable using a parametric ARMA model for its characteristic function. The choice of this model is motivated by the fact that this type of density characterizes the duration of staying at an N-states Markov chain, but the approach is general enough to be applied to many practical problems. Both ML and moment-based linear estimates are derived, the former being based on the optimization of a highly non-linear function. 1.
CitacióVidal, J., Bonafonte, A., Losada, N., Fonollosa, José A. R., R. Fonollosa, J. Rational characteristic functions and markov chains. A: IEEE SIGNAL PROCESSING ATHOS WORKSHOP ON HIGHER-ORDER STATISTICS.. "?". . S.N., 1995, p. 226-230.