Likelihood functions and some maximum likelihood estimators for symbolic data

J. Le-Rademacher; L. Billard

doi:10.1016/j.jspi.2010.11.016

Likelihood functions and some maximum likelihood estimators for symbolic data

J. Le-Rademacher, L. Billard

Quantitative Health Sciences

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

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	https://doi.org/10.1016/j.jspi.2010.11.016
State	Published - Apr 1 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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10.1016/j.jspi.2010.11.016

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AB - 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.

KW - Histogram-valued data

KW - Interval-valued data

KW - Likelihood functions

KW - Maximum likelihood estimators

KW - Symbolic data analysis

KW - Triangular-distribution-valued data

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Likelihood functions and some maximum likelihood estimators for symbolic data

Abstract

Keywords

ASJC Scopus subject areas

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