Heterogeneous Weibull count distribution

Tania M. Karina, Siti Nurrohmah, Ida Fithriani

Research output: Contribution to journalConference articlepeer-review


In this paper, we present a generalized model for count data based upon an assumed Weibull interarrival times. Weibull interarrival times could handle overdispersed data with shape parameter 0 < c < 1, and underdispersed data with c > 1, and is reduced as exponential when c = 1. Weibull count model will be obtained by Taylor expansion and convolution method. By mixing, we obtain heterogeneous Weibull count model. Finally, we fit this model and several other models to non-equidispersed data and show that this model fit the data better than Poisson.

Original languageEnglish
Article number012020
JournalJournal of Physics: Conference Series
Issue number1
Publication statusPublished - 31 May 2019
Event3rd International Conference on Mathematics; Pure, Applied and Computation, ICoMPAC 2018 - Surabaya, Indonesia
Duration: 20 Oct 2018 → …

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