Mixtures of Gamma Distributions and Harris Infinite Divisibility

Harris infinite divisibility

Authors

  • E Sandhya Prajyoti Niketan College, Pudukkad
  • Satheesh S Department of Applied Sciences, Vidya Academy of Science and Technology, Thalakkottukara, Trichur-680 501, India.
  • Lovely Abraham T Department of Statistics, Nehru Arts and Science College, India - 671314.

semicolon

mixtures of gamma, completely monotone, geometric infinite divisibility, Harris infinite divisibility

Abstract

We look at the relation between mixtures of gamma distributions and Harris infinite divisibility. We show that mixtures of gamma distributions with shape parameter 1/k, k > 1 integer, are Harris infinitely divisible. We also prove that Harris infinitely divisible distributions are geometrically infinitely divisible and that all Harris infinitely divisible laws are not mixtures of gamma distributions.

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Published

2017-12-01

Issue

Vol. 28 No. 1 (2017)

Section

Articles

How to Cite

1.
Mixtures of Gamma Distributions and Harris Infinite Divisibility: Harris infinite divisibility. JKSA [Internet]. 2017 Dec. 1 [cited 2026 Feb. 27];28(1):22-7. Available from: https://ojs.ksa.org.in/index.php/JKSA/article/view/21