Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/266282 
Year of Publication: 
2021
Citation: 
[Journal:] Statistics in Transition New Series [ISSN:] 2450-0291 [Volume:] 22 [Issue:] 4 [Publisher:] Exeley [Place:] New York [Year:] 2021 [Pages:] 59-76
Publisher: 
Exeley, New York
Abstract: 
Modelling lifetime data with simple mathematical representations and an ease in obtain ing the parameter estimate of survival models are crucial quests pursued by survival re searchers. In this paper, we derived and introduced a one-parameter distribution called the Agu-Eghwerido (AGUE) distribution with its simple mathematical representation. The re gression model of the AGUE distribution was also presented. Several basic properties of the new distribution, such as reliability measures, mean residual function, median, moment gen erating function, skewness, kurtosis, coefficient of variation, and index of dispersion, were derived. The estimation of the proposed distribution parameter was based on the maximum likelihood estimation method. The real-life applications of the distribution were illustrated using two real lifetime negatively and positively skewed data sets. The new distribution pro vides a better fit than the Pranav, exponential, and Lindley distributions for the data sets. The simulation results showed that the increase in parameter values decreases the mean squared error value. Similarly, the mean estimate tends towards the true parameter value as the sample sizes increas.
Subjects: 
AGUE distribution
AGUE regression model
moment generating function,means residual function
hazard rate function
survival rate function
Persistent Identifier of the first edition: 
Creative Commons License: 
cc-by-nc-nd Logo
Document Type: 
Article

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