Power Garima-Rayleigh distribution: properties and applications

Authors

  • Issaraporn Thiamsorn Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi
  • Ekapak Tanprayoon Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi
  • Sirinapa Aryuyuen Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi

Keywords:

Power Garima-Rayleigh distribution, lifetime data, maximum likelihood estimation, hazard function

Abstract

In this paper, we have considered a new lifetime model of the class of power Garima generalized models, called the power Garima-Rayleigh (PG-R) distribution. Some statistical properties are provided, including quantile function, hazard function, moments, and order statistics. The maximum likelihood estimation is used to estimate the parameters of the PG-R distribution. In addition, we apply the PG-R distribution with two real-life data sets. The study found that the PG-R distribution is a model that describes the probability distribution of observation values close to the real data. The proposed distribution is more flexible and comprehensive with lifetime data than other related distributions, such as the Rayleigh, power Garima-Lindley, and Lindley distributions.

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Published

2023-06-19

How to Cite

Thiamsorn, I. ., Tanprayoon, E. ., & Aryuyuen, S. (2023). Power Garima-Rayleigh distribution: properties and applications. Journal of Applied Statistics and Information Technology, 8(1), 23–34. Retrieved from https://ph02.tci-thaijo.org/index.php/asit-journal/article/view/247718

Issue

Vol. 8 No. 1 (2023): Journal of Applied Statistics and Information Technology Vol 8 No 1 (January - June 2023)

Section

Research Articles

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เนื้อหาและข้อมูลที่ปรากฏในบทความที่ตีพิมพ์ในวารสารสถิติประยุกต์และเทคโนโลยีสารสนเทศถือเป็นความคิดเห็นส่วนบุคคลของผู้เขียนแต่ละท่าน ความผิดพลาดของข้อความและผลที่อาจเกิดจากนำข้อความเหล่านั้นไปใช้ผู้เขียนบทความจะเป็นผู้รับผิดชอบแต่เพียงผู้เดียว บทความ ข้อมูล เนื้อหา รูปภาพ ฯลฯ ที่ได้รับการตีพิมพ์ในวารสารถือเป็นลิขสิทธิ์ของวารสาร หากบุคคลหรือหน่วยงานใดต้องการนำทั้งหมดหรือส่วนหนึ่งส่วนใดไปเผยแพร่ต่อหรือเพื่อกระทำการใดๆ จะต้องได้รับอนุญาตเป็นลายลักอักษรณ์จากวารสาร ก่อนเท่านั้น