The Gompertz Length Biased Exponential Distribution and its application to Uncensored Data
Volume 1 - Issue 3
Obubu Maxwell1*, Oluwafemi Samuel Oyamakin2 and Eghwerido Joseph Thomas3
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- 1 Department of Statistics, Nnamdi Azikiwe University, Awka, Nigeria
- 2Department of Statistics, University of Ibadan, Ibadan, Nigeria
- 3 Department of Mathematics and Computer Science, Federal University of Petroleum Resources, Effurun, Nigeria
*Corresponding author:
Obubu Maxwell, Department of Statistics, Nnamdi Azikiwe University, Awka, Nigeria
Received: December 17, 2018; Published: December 20, 2018
DOI: 10.26717/CTBB.MS.ID.000111
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This paper proposes a generalization of the length biased exponential distribution, called the Gompertz length biased
exponential (GLBE) distribution. Some of the basic properties of the proposed model were derived in minute details and model
parameters estimated by the maximum likelihood estimate method. The adequacy of the model is empirically validated with the
use of real - life data.
Keywords: Exponential Distribution; Length Biased; Gompertz Generalized Family Of Distribution; Quantile Function; Hazard
Functions; Survival Function
Abstract|
Introduction|
Gompertz Length Biased Exponential (Go-LBE) Distribution|
Some Statistical Properties of the Go-LBE Distribution|
Data Analysis|
Conclusion|
References|