Approximation Properties of the Edgeworth Cramer Series and Determination of Peak Parameters of Chromatographic Peaks

The approximation properties of the Edgeworth-Cramér series with respect to the Martln-Synge and the stochastic model of the chromatographic peak were analyzed. It has been shown that these series have asymptotic properties, the asymptotic quantity being respectively the number of theoretical plates (or the column length) and the mean number of adsorption- desorption steps. Thus the fundamental role of these series In chromatographic theory is established. Two distances between the original peak and the approximated peak, such as the classical Lévy distance and the integral of the squared deviations were considered. The minimum properties of these distances with respect to the peak parameters were analyzed. Examples of unbiased peak parameter recovery by nonlinear least-squares curve fitting are reported. Peak parameter recovery precision and accuracy are discussed In reference to the series expansion order and to the peak skewness. © 1982, American Chemical Society. All rights reserve...