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Likelihood functions and some maximum likelihood estimators for symbolic data. (English) Zbl 1204.62026

Summary: Likelihood functions are the foundation of many statistical methodologies in classical data analysis. Likelihood functions for symbolic data must be introduced before these classical methods can be extended to the analysis of symbolic data. We propose a likelihood function for symbolic data and illustrate its applications by finding the maximum likelihood estimators for the mean and the variance of three common types of symbolic-valued random variables: interval-valued, histogram-valued and triangular-distribution-valued variables.

MSC:

62F10 Point estimation
62F99 Parametric inference
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