Poisson- exponential and gamma distribution: properties and applications

Authors

  • Siriporn Samutwachirawong Maejo University

Keywords:

Poisson distribution, Exponential and gamma distribution, Count data

Abstract

The objective of research is a new mixed Poisson distribution for count data based on the exponential and gamma distribution, namely the Poisson–exponential and gamma (Poisson-EG) distribution. Its probability mass function, moments, mean, variance, index of dispersion and the steps for random variate generation have been obtained. The method of parameter estimation for the proposed distribution is maximum likelihood estimation. Additionally, the Poisson–exponential and gamma distribution was applied to fit some real data sets using the maximum likelihood estimation. The results, based on p-value of the discrete Anderson–Daring test and the log–likelihood values show that the Poisson-EG distribution is the most appropriate among the considered distributions for the real data sets.

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Published

2021-12-15

How to Cite

Samutwachirawong, S. (2021). Poisson- exponential and gamma distribution: properties and applications. Journal of Applied Statistics and Information Technology, 6(2), 17–24. Retrieved from https://ph02.tci-thaijo.org/index.php/asit-journal/article/view/243622

Issue

Vol. 6 No. 2 (2021): Journal of Applied Statistics and Information Technology Vol. 6 No. 2 (July - December 2021)

Section

Research Articles

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เนื้อหาและข้อมูลที่ปรากฏในบทความที่ตีพิมพ์ในวารสารสถิติประยุกต์และเทคโนโลยีสารสนเทศถือเป็นความคิดเห็นส่วนบุคคลของผู้เขียนแต่ละท่าน ความผิดพลาดของข้อความและผลที่อาจเกิดจากนำข้อความเหล่านั้นไปใช้ผู้เขียนบทความจะเป็นผู้รับผิดชอบแต่เพียงผู้เดียว บทความ ข้อมูล เนื้อหา รูปภาพ ฯลฯ ที่ได้รับการตีพิมพ์ในวารสารถือเป็นลิขสิทธิ์ของวารสาร หากบุคคลหรือหน่วยงานใดต้องการนำทั้งหมดหรือส่วนหนึ่งส่วนใดไปเผยแพร่ต่อหรือเพื่อกระทำการใดๆ จะต้องได้รับอนุญาตเป็นลายลักอักษรณ์จากวารสาร ก่อนเท่านั้น