On the Properties of Topp-Leone Kumaraswamyweibul Distribution With Applications to Biomedical Data

Adekunle, Ismail Kolawole; Ibrahim, S.; Bello, Olalekan Akanji

doi:10.33003/fjs-2022-0605-1188

Cited by 2 publications

(1 citation statement)

References 18 publications

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“…The first dataset represents to remission times (in months) of a random sample of 128 bladder cancer patients and the data was extracted from Adekunle et al (2023). The data is given below: "0.08, 2.…”

Section: First Datasetmentioning

confidence: 99%

Sine-Lomax Distribution: Properties and Applications to Real Data Sets

Mustapha,

Isa,

Sule

et al. 2023

FJS

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In this study, a novel distribution called the two-parameter Sine Lomax distribution was introduced. The distribution was developed by combining the Sine generalized family of distributions with the Lomax distribution. Various statistical properties of this new distribution were investigated, including the survival function, hazard function, quantile function, rth moment, entropy, moment generating function, and order statistics. The probability density function (PDF) plot indicated that the distribution is skewed to the right. Additionally, the hazard plot of the Sine Lomax distribution showed both monotonic increase and monotonic decrease. To estimate the parameters of the newly proposed distribution, the maximum likelihood approach was employed. A simulation study was conducted to evaluate the consistency of the estimators. The simulation results indicated that the estimators are consistent, as the bias and mean square error decrease with increasing sample sizes. The performance of the Sine Lomax distribution was compared to other extensions of Lomax distributions and the baseline distribution which is the Lomax distribution using various evaluation criteria, including the Akaike Information Criterion (AIC), Consistent Akaike Information Criterion (CAIC), Bayesian Information Criterion (BIC), and Hannan-Quinn Information Criterion (HQIC). The proposed distribution demonstrated the lowest scores among the competing models, indicating its potential for accurately modeling real-world data sets. Based on the results, the proposed Sine Lomax distribution is recommended as a superior alternative to the competing models for modeling certain real-world data sets.

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Section: First Datasetmentioning

confidence: 99%

Sine-Lomax Distribution: Properties and Applications to Real Data Sets

Mustapha,

Isa,

Sule

et al. 2023

FJS

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Kumaraswamy Type Ii Generalized Topp-Leone-G Family of Distributions With Applications

Adekunle,

Abubakar,

Doguwa

et al. 2024

FJS

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In the field of reliability theory, practitioners have been working assiduously in recent years to propose new families of continuous probability distributions that extend the standard theoretical distribution that is currently in use. They have done this by hybridizing two or more probability models or by introducing one or more parameters to get more flexibility in fitting data from a variety of fields, including the environmental, economics, finance, and medical sciences. The T-X approach was used to establish the Kumaraswamy Type II Generalized Topp-Leone-G (KwT2GTL-G) family, which extends the Type II Generalized Topp-Leone-G family of distributions with extra shape parameters. A few statistical characteristics of the novel family were determined and examined. A sub-model emerged and MLE was used to estimate the model parameters. To demonstrate the value of the new family, two real-life data sets were used: a set that related to the relief times (in minutes) of patients taking an analgesic, and the other that related to the failure and service times for a windshield. The superior goodness-of-fits and empirical flexibility of the KwT2GTL-G distribution are demonstrated by comparisons with other distributions, including the Kumaraswamy Extension Exponential (KwEEx), Kumaraswamy Exponential (KEx), Exponential Generalized Exponentiated Exponential (EGEEx), and Exponentiated Weibull-Exponential (EWEx) distributions.. In the second dataset, the KwT2GTLEx distribution achieved an AIC value of 38.0489, outperforming the EGEEx distribution which had an AIC value of 39.6708 next to it. These findings highlight the KwT2GTL-G family's potential to enhance lifetime data modeling, which would have a substantial impact on engineering,...

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On the Properties of Topp-Leone Kumaraswamyweibul Distribution With Applications to Biomedical Data

Cited by 2 publications

References 18 publications

Sine-Lomax Distribution: Properties and Applications to Real Data Sets

Sine-Lomax Distribution: Properties and Applications to Real Data Sets

Kumaraswamy Type Ii Generalized Topp-Leone-G Family of Distributions With Applications

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