Research Article

Exponentiated generalized geometric distribution: A new discrete distribution

Volume: 45 Number: 6 December 1, 2016
  • Hamid Bidram
  • Rasool Roozegar *
  • Vahid Nekoukhou
EN

Exponentiated generalized geometric distribution: A new discrete distribution

Abstract

In this paper, a new three-parameter extension of the generalized geometric distribution of [6] is introduced. The new discrete distribution belongs to the resilience parameter family and handles a decreasing, increasing, upside-down and bathtub-shaped hazard rate function. The new distributions can also be considered as discrete analogs of some recent continuous distributions belonging to the known Marshall-Olkin family. Here, some basic statistical and mathematical properties of the new distribution are studied. In addition, estimation of the unknown parameters, a simulated example and an application of the new model are illustrated.

Keywords

References

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Details

Primary Language

English

Subjects

Statistics

Journal Section

Research Article

Authors

Hamid Bidram This is me

Rasool Roozegar * This is me

Vahid Nekoukhou This is me

Publication Date

December 1, 2016

Submission Date

May 18, 2015

Acceptance Date

September 26, 2015

Published in Issue

Year 2016 Volume: 45 Number: 6

APA
Bidram, H., Roozegar, R., & Nekoukhou, V. (2016). Exponentiated generalized geometric distribution: A new discrete distribution. Hacettepe Journal of Mathematics and Statistics, 45(6), 1767-1779. https://izlik.org/JA29DJ89ZF
AMA
1.Bidram H, Roozegar R, Nekoukhou V. Exponentiated generalized geometric distribution: A new discrete distribution. Hacettepe Journal of Mathematics and Statistics. 2016;45(6):1767-1779. https://izlik.org/JA29DJ89ZF
Chicago
Bidram, Hamid, Rasool Roozegar, and Vahid Nekoukhou. 2016. “Exponentiated Generalized Geometric Distribution: A New Discrete Distribution”. Hacettepe Journal of Mathematics and Statistics 45 (6): 1767-79. https://izlik.org/JA29DJ89ZF.
EndNote
Bidram H, Roozegar R, Nekoukhou V (December 1, 2016) Exponentiated generalized geometric distribution: A new discrete distribution. Hacettepe Journal of Mathematics and Statistics 45 6 1767–1779.
IEEE
[1]H. Bidram, R. Roozegar, and V. Nekoukhou, “Exponentiated generalized geometric distribution: A new discrete distribution”, Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 6, pp. 1767–1779, Dec. 2016, [Online]. Available: https://izlik.org/JA29DJ89ZF
ISNAD
Bidram, Hamid - Roozegar, Rasool - Nekoukhou, Vahid. “Exponentiated Generalized Geometric Distribution: A New Discrete Distribution”. Hacettepe Journal of Mathematics and Statistics 45/6 (December 1, 2016): 1767-1779. https://izlik.org/JA29DJ89ZF.
JAMA
1.Bidram H, Roozegar R, Nekoukhou V. Exponentiated generalized geometric distribution: A new discrete distribution. Hacettepe Journal of Mathematics and Statistics. 2016;45:1767–1779.
MLA
Bidram, Hamid, et al. “Exponentiated Generalized Geometric Distribution: A New Discrete Distribution”. Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 6, Dec. 2016, pp. 1767-79, https://izlik.org/JA29DJ89ZF.
Vancouver
1.Hamid Bidram, Rasool Roozegar, Vahid Nekoukhou. Exponentiated generalized geometric distribution: A new discrete distribution. Hacettepe Journal of Mathematics and Statistics [Internet]. 2016 Dec. 1;45(6):1767-79. Available from: https://izlik.org/JA29DJ89ZF