The zero-truncated negative binomial-Erlang distribution is introduced. It is developed from negative binomial-Erlang distribution. In this work, the probability mass function is derived and some properties are included. The parameters of the zero-truncated negative binomial-Erlang distribution are estimated by using the maximum likelihood estimation. Finally, the proposed distribution is applied to real data, the number of methamphetamine in the Bangkok, Thailand. Based on the results, it shows that the zero-truncated negative binomial-Erlang distribution provided a better fit than the zero-truncated Poisson, zero-truncated negative binomial, zero-truncated generalized negative-binomial and zero-truncated Poisson-Lindley distributions for this data.
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22 November 2017
PROCEEDINGS OF THE 13TH IMT-GT INTERNATIONAL CONFERENCE ON MATHEMATICS, STATISTICS AND THEIR APPLICATIONS (ICMSA2017)
4–7 December 2017
Kedah, Malaysia
Research Article|
November 22 2017
Zero-truncated negative binomial - Erlang distribution
Winai Bodhisuwan;
Winai Bodhisuwan
a)
1
Department of Statistics, Faculty of Science, Kasetsart University
, Bangkok, 10900, Thailand
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Chookait Pudprommarat;
Chookait Pudprommarat
b)
2
Department of Science, Faculty of Science and Technology, Suan Sunandha Rajabath University
, Bangkok, 10300, Thailand
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Rujira Bodhisuwan;
Rujira Bodhisuwan
c)
3
College of Industrial Technology, King Mongkut’s University of Technology North Bangkok
, 10800, Thailand
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Luckhana Saothayanun
Luckhana Saothayanun
d)
4
Department of Statistics, Faculty of Science and Technology, University of the Thai Chamber of Commerce
, Bangkok 10325, Thailand
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a)
Corresponding author: [email protected]
AIP Conf. Proc. 1905, 050011 (2017)
Citation
Winai Bodhisuwan, Chookait Pudprommarat, Rujira Bodhisuwan, Luckhana Saothayanun; Zero-truncated negative binomial - Erlang distribution. AIP Conf. Proc. 22 November 2017; 1905 (1): 050011. https://doi.org/10.1063/1.5012230
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