E-ISSN 3043-6125 | ISSN 3043-6133
 
2024, Vol: 1, Issue: 2
1 / 2Current Issue Online FirstArchiveAims and ScopeAbstracting & Indexing

Research Article 


Sine Type II Topp-Leone Exponential Distribution: Properties, Simulation and Application

Sule Omieza Bashiru, Ibrahim Ali, Abubakar Muhammad Auwal, Alhaji Modu Isa.


Abstract
In this study, we introduce a novel extension of the exponential distribution known as the Sine Type II Topp-Leone Exponential (STIITLEx) distribution. We derive key properties of this distribution, including the quantile function, survival function, moments, moment-generating function, and entropy. Parameter estimation is performed using the maximum likelihood estimation method, and a comprehensive simulation study was conducted to evaluate the estimator's consistency. Our simulation results confirmed the estimator's consistency, as indicated by diminishing bias and root mean square error (RMSE) with increasing sample sizes. Applying the model to two real-world datasets, we compare its performance against existing models with a common baseline. Our findings demonstrate that the STIITLEx model offers a superior fit to the datasets across all seven evaluation metrics considered.

Key words: Exponential distribution, moments, maximum likelihood estimation, covid19 dataset


 
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How to Cite this Article
Pubmed Style

Bashiru SO, Ali I, Auwal AM, Isa AM. Sine Type II Topp-Leone Exponential Distribution: Properties, Simulation and Application. CUJOSTECH. 2024; 1(2): 126-137. doi:10.5455/CUJOSTECH.241008

Web Style

Bashiru SO, Ali I, Auwal AM, Isa AM. Sine Type II Topp-Leone Exponential Distribution: Properties, Simulation and Application. https://www.cujostech.com.ng/?mno=210182 [Access: February 24, 2025]. doi:10.5455/CUJOSTECH.241008

AMA (American Medical Association) Style

Bashiru SO, Ali I, Auwal AM, Isa AM. Sine Type II Topp-Leone Exponential Distribution: Properties, Simulation and Application. CUJOSTECH. 2024; 1(2): 126-137. doi:10.5455/CUJOSTECH.241008


Vancouver/ICMJE Style

Bashiru SO, Ali I, Auwal AM, Isa AM. Sine Type II Topp-Leone Exponential Distribution: Properties, Simulation and Application. CUJOSTECH. (2024), [cited February 24, 2025]; 1(2): 126-137. doi:10.5455/CUJOSTECH.241008


Harvard Style

Bashiru, S. O., Ali, . I., Auwal, . A. M. & Isa, . A. M. (2024) Sine Type II Topp-Leone Exponential Distribution: Properties, Simulation and Application. CUJOSTECH, 1 (2), 126-137. doi:10.5455/CUJOSTECH.241008


Turabian Style

Bashiru, Sule Omieza, Ibrahim Ali, Abubakar Muhammad Auwal, and Alhaji Modu Isa. 2024. Sine Type II Topp-Leone Exponential Distribution: Properties, Simulation and Application. Confluence University Journal of Science and Technology, 1 (2), 126-137. doi:10.5455/CUJOSTECH.241008


Chicago Style

Bashiru, Sule Omieza, Ibrahim Ali, Abubakar Muhammad Auwal, and Alhaji Modu Isa. "Sine Type II Topp-Leone Exponential Distribution: Properties, Simulation and Application." Confluence University Journal of Science and Technology 1 (2024), 126-137. doi:10.5455/CUJOSTECH.241008


MLA (The Modern Language Association) Style

Bashiru, Sule Omieza, Ibrahim Ali, Abubakar Muhammad Auwal, and Alhaji Modu Isa. "Sine Type II Topp-Leone Exponential Distribution: Properties, Simulation and Application." Confluence University Journal of Science and Technology 1.2 (2024), 126-137. Print. doi:10.5455/CUJOSTECH.241008


APA (American Psychological Association) Style

Bashiru, S. O., Ali, . I., Auwal, . A. M. & Isa, . A. M. (2024) Sine Type II Topp-Leone Exponential Distribution: Properties, Simulation and Application. Confluence University Journal of Science and Technology, 1 (2), 126-137. doi:10.5455/CUJOSTECH.241008


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