A negative binomial Erlang-Lindley distribution with applications

Authors

  • Somporn Thepchim Program of Mathematics, Faculty of Science, Ubon Ratchathani Rajabhat University
  • Kajita Matchima Program of Mathematics, Faculty of Science, Ubon Ratchathani Rajabhat University
  • Thanakorn Suthison Program of Mathematics, Faculty of Science, Ubon Ratchathani Rajabhat University
  • Yaovaruk Thongphum Program of Mathematics, Faculty of Science, Ubon Ratchathani Rajabhat University

Keywords:

negative binomial distribution, Erlang-Lindley distribution, Count data, Maximum likelihood estimation, overdispersion

Abstract

In this paper, a new three-parameter negative binomial distribution obtained by mixing the negative binomial distribution and the two-parameter Erlang-Lindley distribution is introduced for modeling count data. Its probability mass function, factorial moment, mean, variance, and index of dispersion have been obtained and discussed. Estimation of the parameters is illustrated using the maximum likelihood method, and the usefulness of the proposed distribution is explained as examples of real data sets, which show that the proposed distribution provides a better fit than the Poisson, negative binomial, and negative binomial-Lindley distributions.

References

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Published

2024-06-21

How to Cite

Thepchim, S., Matchima, K., Suthison, T., & Thongphum, Y. (2024). A negative binomial Erlang-Lindley distribution with applications. Journal of Applied Statistics and Information Technology, 9(1), 1–8. Retrieved from https://ph02.tci-thaijo.org/index.php/asit-journal/article/view/251142

Issue

Vol. 9 No. 1 (2024): Journal of Applied Statistics and Information Technology Vol 9 No 1 (January - June 2024)

Section

Research Articles

License

Copyright (c) 2024 Journal of Applied Statistics and Information Technology

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

เนื้อหาและข้อมูลที่ปรากฏในบทความที่ตีพิมพ์ในวารสารสถิติประยุกต์และเทคโนโลยีสารสนเทศถือเป็นความคิดเห็นส่วนบุคคลของผู้เขียนแต่ละท่าน ความผิดพลาดของข้อความและผลที่อาจเกิดจากนำข้อความเหล่านั้นไปใช้ผู้เขียนบทความจะเป็นผู้รับผิดชอบแต่เพียงผู้เดียว บทความ ข้อมูล เนื้อหา รูปภาพ ฯลฯ ที่ได้รับการตีพิมพ์ในวารสารถือเป็นลิขสิทธิ์ของวารสาร หากบุคคลหรือหน่วยงานใดต้องการนำทั้งหมดหรือส่วนหนึ่งส่วนใดไปเผยแพร่ต่อหรือเพื่อกระทำการใดๆ จะต้องได้รับอนุญาตเป็นลายลักอักษรณ์จากวารสาร ก่อนเท่านั้น