Skip to content
Research Article Open access CC BY 4.0

The Exponentiated Generalized Lindley Distribution

J. A. Rodrigues, A. C. Percontini, G. G. Hamedani

Asian Research Journal of Mathematics · pp. 1–14 · Published 20 Jul 2017

10.9734/ARJOM/2017/26892

Abstract

A new distribution called the exponentiated generalized Lindley is proposed and studied. This distribution includes as special cases the Lindley and exponentiated Lindley distributions. We study the main properties of this distribution, with special emphasis on its moments and some characteristics related to reliability studies. The estimation of the model parameters using the methods of moments and maximum likelihood is also discussed. The flexibility of this distribution is illustrated via an application to a real data set.

Akaike information criterion characterizations Hazard function lindley distribution maximum likelihood estimators moments

References (16)

  1. 1 Table of Integrals, Series and Products. [DOI]
  2. 2 Fiducial Distributions and Bayes' Theorem [DOI]
  3. 3 A First Course in Order Statistics [DOI]
  4. 4 The Exponentiated Generalized Class of Distributions [DOI]
  5. 5 A generalized Lindley distribution [DOI]
  6. 6 The beta modified Weibull distribution [DOI]
  7. 7 A Characterization Theorem Based on Truncated Moments and its Application to Some Distribution Families [DOI]
  8. 8 The Exponentiated Generalized Class of Distributions [DOI]
  9. 9 Some consequences of a characterization theorem based on truncated moments [DOI]
  10. 10 The beta Burr XII distribution with application to lifetime data [DOI]
  11. 11 Weibull-Pareto Distribution and Its Applications [DOI]
  12. 12 The Kumaraswamy generalized gamma distribution with application in survival analysis [DOI]
  13. 13 The Beta-Lindley Distribution: Properties and Applications [DOI]
  14. 14 The Gamma-Exponentiated Weibull Distribution
  15. 15 The Mc-Dagum Distribution and Its Statistical Properties with Applications
  16. 16 Statistics: A Journal of Theoretical and Applied Statistics [DOI]

Cited by 17

Topp-Leone Power Lindley Distribution(Tlpld): its Properties and Application

Festus C. Opone, Nosakhare Ekhosuehi, Sunday E. Omosigho · Sankhya A · 2020

A New Classical Two Parameter Asymmetric Probability Distribution: Properties and Application

Nomuoja, A. J., Agu, C., Olawale, T. G. · African Journal of Mathematics and Statistics Studies · 2024

Extended odd Weibull–Lindley distribution

Fatehi Yahya Eissa, Chhaya Dhanraj Sonar · AIP Advances · 2024

Exponentiated Ailamujia distribution with statistical inference and applications of medical data

Aafaq A. Rather, C. Subramanian, Amer Ibrahim Al-Omari · Journal of Statistics and Management Systems · 2022

An extended sujatha distribution with statistical properties and applications

Rama Shanker, Hosenur Rahman Prodhani · Biometrics & Biostatistics International Journal · 2024

Showing 6 of 17 known citations — external sources report more than can currently be individually listed.

Article metrics

Real usage data collected on this platform.

53

Page views

0

PDF downloads

15

Outbound clicks

17

Citations

Views over time

Views by country

Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".

Traffic sources

Referring site, by host.

Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.