The Hamza Distribution with Statistical Properties and Applications

Ahmad, Adeel; Jallal, Muzamil; Ain, S. Qurat Ul; Tripathi, Rajnee

doi:10.9734/ajpas/2020/v8i130198

Cited by 8 publications

(11 citation statements)

References 8 publications

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“…After substituting equation (10) and equation (11) in equation ( 12), yields the posterior probability density function of the scale parameter , we have ( 13)…”

Section: The Posterior Density Using the Inverse Exponential Distribu...mentioning

confidence: 99%

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Bayesian Approach for estimating the unknown Scale parameter of Erlang Distribution Based on General Entropy Loss Function

Al-obedy

2023

IHJPAS

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We are used Bayes estimators for unknown scale parameter when shape Parameter is known of Erlang distribution. Assuming different informative priors for unknown scale parameter. We derived The posterior density with posterior mean and posterior variance using different informative priors for unknown scale parameter which are the inverse exponential distribution, the inverse chi-square distribution, the inverse Gamma distribution, and the standard Levy distribution as prior. And we derived Bayes estimators based on the general entropy loss function (GELF) is used the Simulation method to obtain the results. we generated different cases for the parameters of the Erlang model, for different sample sizes. The estimates have been compared in terms of their mean-squared error (MSE). We concluded that the best estimators of the scale parameterof the Erlang distribution, based on GELF for the shape parameter (c=1,2,3) under inverse gamma prior with for all samples sizes(n) where the true cases of the Erlang model are and according to the smallest values of MSE

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“…After substituting equation (10) and equation (11) in equation ( 12), yields the posterior probability density function of the scale parameter , we have ( 13)…”

Section: The Posterior Density Using the Inverse Exponential Distribu...mentioning

confidence: 99%

“…They applied parametric estimation to the data sets of real life. [10] applied power transformation method to obtain an extension of Erlang distribution. They also derived several mathematical quantities for this distribution.…”

Section: Introductionmentioning

confidence: 99%

Bayesian Approach for estimating the unknown Scale parameter of Erlang Distribution Based on General Entropy Loss Function

Al-obedy

2023

IHJPAS

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“…These new two-parameter distributions have been shown to provide a better fit to complex real life datasets than the one-parameter distributions. Some of the recently developed two-parameter distributions include the Darna distribution (Shraa and Al-Omari [18]), the Hamza distribution (Aijaz et al [2]), the Samade distribution (Aderoju [1]), the Alzoubi distribution (Benrabia and Alzoubi [5]), and recently, the Copoun distribution (Uwaeme et al [23]).…”

Section: Introductionmentioning

confidence: 99%

On the Statistical Properties of the Remkan Distribution

Akpan,

Uwaeme

2024

EJMS

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The Remkan distribution is a two-parameter lifetime distribution that has been introduced into the literature to meet the ever-growing demand for the development of new lifetime distributions to meet the goodness of fit demand of complex datasets. The mathematical properties of the Remkan distribution have been derived in the literature. This study therefore aims to derive important statistical properties including the mode, quantile function, order statistics, entropy, stochastic ordering, average absolute deviation, and mid-point and Reliability indices such as the survivorship or existence measurement function, risk measurement function, and average residual measurement lifetime function.

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“…These new two-parameter distributions have been shown to provide better fit to complex real life datasets than the one-parameter distributions. Some of the recently developed two-parameter distributions includes the Darna distribution [16], the Hamza distribution [17], the Samade distribution [18], the Alzoubi distribution [19], and the Copoun distribution [20].…”

Section: Introductionmentioning

confidence: 99%

The Remkan Distribution and Its Applications

Uwaeme, O. R.,

Akpan, N. P.

2024

AJPAS

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Due to the ever growing demand for the development of new lifetime distributions to meet the goodness of fit demand of complex datasets, two-parameter distributions has been proposed in recent times. This study therefore aims to contribute to this demand. We propose a new two-parameter lifetime distribution known as the Remkan distribution. Important mathematical properties of the Remkan distribution such as the moments and other related measures, and moment generating function were derived and the model parameters estimated using the maximum likelihood estimate technique. Finally, the flexibility of the new Remkan distribution was illustrated using a real life dataset and the results showed that the new Remkan distribution was the best amongst other competing two parameter distributions.

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The Hamza Distribution with Statistical Properties and Applications

Cited by 8 publications

References 8 publications

Bayesian Approach for estimating the unknown Scale parameter of Erlang Distribution Based on General Entropy Loss Function

Bayesian Approach for estimating the unknown Scale parameter of Erlang Distribution Based on General Entropy Loss Function

On the Statistical Properties of the Remkan Distribution

The Remkan Distribution and Its Applications

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