Abstract:

Several estimators have been developed to estimate the length intensity of fibre processes (see for example Ohser [5], Vedel-Jensen and Kieu [8]). Among them, estimators based on sections of the sample with random planes are popular because of their easy use. Recently, Beneš et al [1] studied an estimator based on projections of the fibre process on hyperplanes. In the present paper the first and second order properties of these estimators will be recalled in the first part. The second part will contain the convergence of the estimator based on serial sections to the estimator based on projections. Two examples will be presented at the end of the paper.