Applications of Bladder Cancer Data Using a Modified Log-Logistic Model

Kayid, Mohamed

doi:10.1155/2022/6600278

Cited by 3 publications

(3 citation statements)

References 25 publications

(25 reference statements)

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“…This dataset was collected from bladder cancer patients and reported by Lee and Wang (2003). It has been studied in detail by Ieren et al (2019), Ijaz et al (2020), andKayid (2022). The real-life data contains a set of remission times (in months) from 128 bladder cancer patients which is represented in Table 6.…”

Section: The Remission Time Of the Bladder Cancer Patients Datasetmentioning

confidence: 99%

The exponentiated new exponential-gamma distribution: Properties and applications

Alnaji¹,

Alghamdi²

2023

Int. j. adv. appl. sci.

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We propose a novel lifetime model by extending the new exponential-gamma distribution to the exponentiated new exponential-gamma distribution. This extension allows for the derivation of a more flexible density function that combines the characteristics of the exponential and gamma distributions. We present various statistical properties of the newly proposed method, including the cumulative function, probability density function, moment-generating function, and moments. Additionally, we discuss the estimation of parameters using maximum likelihood. To compare the performance of our newly developed model with existing probability distributions (gamma, exponential, Lindley, generalized gamma, generalization of the generalized gamma, and new exponential-gamma distribution), we employ model selection criteria such as the Akaike Information Criterion (AIC), the corrected Akaike Information Criterion (AICC), and the Bayesian Information Criterion (BIC). The application of these criteria to different models demonstrates that our proposed model outperforms the other six models across various datasets. For instance, in the first dataset, the AIC, AICC, and BIC values for our model are 366.975, 373.805, and 373.805, respectively, whereas the values for the other six models (exponential, Lindley, generalized gamma, generalization of the generalized gamma) range from 503.012 to 834.327. We conduct simulation studies to assess the efficiency of our proposed model. Furthermore, we apply the proposed method to three real data applications to further examine its effectiveness. It is important to note that the quantile function of the proposed model does not have a closed-form solution, requiring the computation of the quantile function through the Newton-Raphson iterative approach.

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Section: The Remission Time Of the Bladder Cancer Patients Datasetmentioning

confidence: 99%

The exponentiated new exponential-gamma distribution: Properties and applications

Alnaji¹,

Alghamdi²

2023

Int. j. adv. appl. sci.

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show abstract

“…This article has been retracted by Hindawi following an investigation undertaken by the publisher [ 1 ]. This investigation has uncovered evidence of one or more of the following indicators of systematic manipulation of the publication process: Discrepancies in scope Discrepancies in the description of the research reported Discrepancies between the availability of data and the research described Inappropriate citations Incoherent, meaningless and/or irrelevant content included in the article Peer-review manipulation …”

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confidence: 99%

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confidence: 99%