Abstract
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. In this paper, we propose the 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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1593-1602 |
| Number of pages | 10 |
| Journal | Journal of Statistical Planning and Inference |
| Volume | 141 |
| Issue number | 4 |
| DOIs | |
| State | Published - Apr 2011 |
Keywords
- Histogram-valued data
- Interval-valued data
- Likelihood functions
- Maximum likelihood estimators
- Symbolic data analysis
- Triangular-distribution-valued data
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty
- Applied Mathematics
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