The transition threshold from aerobic to anaerobic metabolism of athletes practising endurance sports is identified with the deflection point in the graph of cardiac frequency versus velocity. A parametric statistical background was provided (Calderoni et al., 1990) by assuming a transition from linear to parabolic regression. By interpreting the threshold as a jump-point for the first derivative of a continuous regression curve, the use of one-sided kernel estimators can be a useful explorative treatment. Here Müller’s theory of such kernels is summarized and simulations are discussed for this type of application.
ANAEROBIC THRESHOLD AND KERNEL ESTIMATORS / Maioli, Marco. - In: STATISTICA APPLICATA. - ISSN 1125-1964. - 29:1(2017), pp. 49-60.
ANAEROBIC THRESHOLD AND KERNEL ESTIMATORS
MAIOLI, Marco
2017
Abstract
The transition threshold from aerobic to anaerobic metabolism of athletes practising endurance sports is identified with the deflection point in the graph of cardiac frequency versus velocity. A parametric statistical background was provided (Calderoni et al., 1990) by assuming a transition from linear to parabolic regression. By interpreting the threshold as a jump-point for the first derivative of a continuous regression curve, the use of one-sided kernel estimators can be a useful explorative treatment. Here Müller’s theory of such kernels is summarized and simulations are discussed for this type of application.
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