O wyznaczaniu dominanty rozkladu cechy ciągłej w szeregach szczegółowych

Abstract

One of the main descriptive characteristics is the mode. For continuous variables it is not always easy to properly determine the mode. There are some estimates of the mode provided in literature, however, unlike the median or the arithmetic mean, for the mode there does not exist the estimator which would be commonly considered as the best one. Moreover, in many statistical textbooks and computer packages this problem seems to be ignored. In this paper authors consider seven different methods of estimation the mode presented in literature. The efficiency of the estimation procedures has been evaluated on the basis simulation experiments for the normal and lognormal distributions with different degrees of skewness. The evaluation criteria of those procedures involve not only the efficiency of estimation but also simplicity of computation, which is an important aspect of teaching statistics.