Published

2022-01-01

Extended Lindley Distribution with Applications

Distribución Lindley transmutada de rango cúbico con aplicaciones

DOI:

https://doi.org/10.15446/rce.v45n1.93548

Keywords:

Lindley Distribution, Cubic Rank Transmutation Map, Reliability Analysis, Parameter Estimation (en)
Análisis de foabilidad, Distribución Lindley, Estimación de parámetros, Mapa de transmutación de rango cúbico (es)

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Authors

  • Sher Chhetri University of South Carolina
  • Nonhle Mdziniso Bloomsburg University of Pennsylvania
  • Cory Ball Oak Ridge National Lab, Tennessee, USA

In this work, we propose a three-parameter generalized Lindley distribution using the cubic rank transmutation map approach by Granzotto, Louzada & Balakrishnan (2017). We derive expressions for several mathematical properties including moments and moment generating function, mean deviation, probability weighted moments, quantile function, reliability analysis, and order statistics. We conducted a simulation study to assess the performance of the maximum likelihood estimation procedure for estimating model parameters. The flexibility of the proposed model is illustrated by analyzing two real data sets.

En este trabajo, proponemos una distribución generalizada Lindley con tres parámetros utilizando el enfoque de mapa de transmutación de rango cúbico de Granzotto et al. (2017). Derivamos expresiones para varias propiedades matemáticas, incluyendo momentos y función generadora de momentos, desviación media, momentos ponderados por probabilidad, función cuantil, análisis de conabilidad y estadísticas de orden. Se realizó un estudio de simulación para evaluar el rendimiento del procedimiento de estimación de máxima verosimilitud para estimar los parámetros del modelo. La exibilidad del modelo propuesto se ilustra mediante el análisis de dos conjuntos de datos reales.

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How to Cite

APA

Chhetri, S., Mdziniso, N. and Ball, C. (2022). Extended Lindley Distribution with Applications. Revista Colombiana de Estadística, 45(1), 65–83. https://doi.org/10.15446/rce.v45n1.93548

ACM

[1]
Chhetri, S., Mdziniso, N. and Ball, C. 2022. Extended Lindley Distribution with Applications. Revista Colombiana de Estadística. 45, 1 (Jan. 2022), 65–83. DOI:https://doi.org/10.15446/rce.v45n1.93548.

ACS

(1)
Chhetri, S.; Mdziniso, N.; Ball, C. Extended Lindley Distribution with Applications. Rev. colomb. estad. 2022, 45, 65-83.

ABNT

CHHETRI, S.; MDZINISO, N.; BALL, C. Extended Lindley Distribution with Applications. Revista Colombiana de Estadística, [S. l.], v. 45, n. 1, p. 65–83, 2022. DOI: 10.15446/rce.v45n1.93548. Disponível em: https://revistas.unal.edu.co/index.php/estad/article/view/93548. Acesso em: 28 mar. 2025.

Chicago

Chhetri, Sher, Nonhle Mdziniso, and Cory Ball. 2022. “Extended Lindley Distribution with Applications”. Revista Colombiana De Estadística 45 (1):65-83. https://doi.org/10.15446/rce.v45n1.93548.

Harvard

Chhetri, S., Mdziniso, N. and Ball, C. (2022) “Extended Lindley Distribution with Applications”, Revista Colombiana de Estadística, 45(1), pp. 65–83. doi: 10.15446/rce.v45n1.93548.

IEEE

[1]
S. Chhetri, N. Mdziniso, and C. Ball, “Extended Lindley Distribution with Applications”, Rev. colomb. estad., vol. 45, no. 1, pp. 65–83, Jan. 2022.

MLA

Chhetri, S., N. Mdziniso, and C. Ball. “Extended Lindley Distribution with Applications”. Revista Colombiana de Estadística, vol. 45, no. 1, Jan. 2022, pp. 65-83, doi:10.15446/rce.v45n1.93548.

Turabian

Chhetri, Sher, Nonhle Mdziniso, and Cory Ball. “Extended Lindley Distribution with Applications”. Revista Colombiana de Estadística 45, no. 1 (January 19, 2022): 65–83. Accessed March 28, 2025. https://revistas.unal.edu.co/index.php/estad/article/view/93548.

Vancouver

1.
Chhetri S, Mdziniso N, Ball C. Extended Lindley Distribution with Applications. Rev. colomb. estad. [Internet]. 2022 Jan. 19 [cited 2025 Mar. 28];45(1):65-83. Available from: https://revistas.unal.edu.co/index.php/estad/article/view/93548

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CrossRef citations1

1. Guillermo Martínez-Flórez, Barry C. Arnold, Héctor W. Gómez. (2024). A Bivariate Power Lindley Survival Distribution. Mathematics, 12(21), p.3334. https://doi.org/10.3390/math12213334.

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