Transmutation of the two parameters Rayleigh distribution

Ullah, Ehsan; Shahzad, Mirza Naveed

doi:10.14419/ijasp.v4i2.6100

Cited by 3 publications

(3 citation statements)

References 8 publications

(7 reference statements)

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“…Gumbel (1958) denotes this distribution of the type I distribution of the smallest extreme, called the Gumbel distribution of the smallest extreme [8]. The Gumbel distribution is a very common distribution due to its global applicability in several fields and its wide applications [11] and [13]. The probability density function is:…”

Section: Gumbel Distributionmentioning

confidence: 99%

“…In order to compare the distributions, we consider some other criterion like Akaike information Criterion (𝐴𝐼𝐶), Akaike information criterion corrected (𝐴𝐼𝐶𝐶) and Bayesian information Criterion (𝐵𝐼𝐶) for the real data set [2]. The best distribution corresponds to lower 𝐴𝐼𝐶, 𝐴𝐼𝐶𝐶, and 𝐵𝐼𝐶 values [7] and [13]:…”

Section: Goodness Of Fit Testmentioning

confidence: 99%

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Parametric Models in Survival Analysis for Lung Cancer Patients

Ahmed¹

2021

IHJPAS

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The aim of this study is to estimate the survival function for the data of lung cancer patients, using parametric methods (Weibull, Gumbel, exponential and log-logistic). Comparisons between the proposed estimation method have been performed using statistical indicator Akaike information Criterion, Akaike information criterion corrected and Bayesian information Criterion, concluding that the survival function for the lung cancer by using Gumbel distribution model is the best. The expected values of the survival function of all estimation methods that are proposed in this study have been decreasing gradually with increasing failure times for lung cancer patients, which means that there is an opposite relationship failure times and survival function.

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Section: Gumbel Distributionmentioning

confidence: 99%

Section: Goodness Of Fit Testmentioning

confidence: 99%

Parametric Models in Survival Analysis for Lung Cancer Patients

Ahmed¹

2021

IHJPAS

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“…Abd EI-Monsef and Sohsah [13] have developed "a new discrete compound distribution namely Poisson transmuted Lindley distribution. Ullah and Shahzad [14] have propose a new distribution using the technique of transmutation map". Azzwidden and AI-Zou'bi [15] have "introduced the transmuted Gamma Gompertze distribution".…”

Section: Introductionmentioning

confidence: 99%

Three Parameter Transmuted Exponential Distribution

Ray

Roy

2023

AJPAS

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Many distribution functions, can be explored in numerous dimensions with their extended form. In this paper an extended form of exponential distribution is studied by the quadratic rank transmutation map, called three parameter transmuted exponential distribution, where the base distribution is exponential distribution with two parameters \(\theta\) > 0 and \(\beta\) > 0 , shape and location parameters respectively. Some statistical properties have been studied for the said distribution including moments, quantile function, moment generating function, reliability analysis, mills ratio, reverse hazard rate function, order statistics, Bonferroni and Lorenz curves and indices, mean deviation about mean and median, estimation of parameter. The applicability have been explored by comparing value of -2ℓ, AIC and BIC using real data set.

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