Further properties and new applications of the nested Dirichlet distribution

Guo Liang Tian*, Man Lai TANG, Kam Chuen Yuen, Kai Wang Ng

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

5 Citations (Scopus)


Recently, Ng et al. (2009) studied a new family of distributions, namely the nested Dirichlet distributions. This family includes the traditional Dirichlet distribution as a special member and can be adopted to analyze incomplete categorical data. However, other important aspects of the family, such as marginal and conditional distributions and related properties are not yet available in the literature. Moreover, diverse applications of the family to the real world need to be further explored. In this paper, we first obtain the marginal and conditional distributions and other related properties of the nested Dirichlet distribution. We then present new applications of the family in fitting competing-risks model, analyzing incomplete categorical data and evaluating cancer diagnosis tests. Three real data involving failure times of radio transmitter receivers, attitude toward the death penalty and ultrasound ratings for breast cancer metastasis are provided.

Original languageEnglish
Pages (from-to)394-405
Number of pages12
JournalComputational Statistics and Data Analysis
Issue number2
Publication statusPublished - 1 Feb 2010

Scopus Subject Areas

  • Statistics and Probability
  • Computational Mathematics
  • Computational Theory and Mathematics
  • Applied Mathematics


Dive into the research topics of 'Further properties and new applications of the nested Dirichlet distribution'. Together they form a unique fingerprint.

Cite this