Log-linear modeling under generalized inverse sampling scheme

Soumi Lahiri, Sunil K. Dhar

Research output: Contribution to journalArticlepeer-review


This article discusses the log-linear model for a multi-way contingency table, where the cell values represent the frequency counts that follow an extended negative multinomial distribution. This is an extension of the negative multinomial log-linear model described by Evans and Bonett (1989). The parameters of the new model are estimated by the maximum likelihood method. The likelihood ratio test for the general log-linear hypothesis is derived, and a practical application of the log-linear model under the generalized inverse sampling scheme is presented.

Original languageEnglish (US)
Pages (from-to)1237-1244
Number of pages8
JournalCommunications in Statistics - Theory and Methods
Issue number8
StatePublished - Jan 2008

All Science Journal Classification (ASJC) codes

  • Statistics and Probability


  • Extended negative multinomial distribution
  • Generalized inverse sampling
  • Likelihood ratio test
  • Linear model
  • Maximum likelihood estimation


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