Order Statistics of Inverse Pareto Distribution

Mustafa, Ghulam; Ijaz, Muhammad; Jamal, Farrukh

doi:10.21608/cjmss.2022.272724

Cited by 3 publications

(2 citation statements)

References 11 publications

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“…[ 28 ] discussed moments of dual generalized order statistics and characterization for the transmuted exponential model. [ 29 ] obtained order statistics of inverse Pareto distribution. The Lomax distribution has been used for reliability modeling and life testing (e.g., [ 30 ]), and applied to income and wealth distribution data ([ 31 , 32 ]), firm size ([ 33 ]), and queuing problems ([ 31 , 32 ]).…”

Section: Gull Alpha Power Lomax Distribution (Gapl)mentioning

confidence: 99%

The Gull Alpha Power Lomax distributions: Properties, simulation, and applications to modeling COVID-19 mortality rates

Tolba,

Muse,

Fayomi

et al. 2023

PLoS ONE

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The Gull Alpha Power Lomax distribution is a new extension of the Lomax distribution that we developed in this paper (GAPL). The proposed distribution’s appropriateness stems from its usefulness to model both monotonic and non-monotonic hazard rate functions, which are widely used in reliability engineering and survival analysis. In addition to their special cases, many statistical features were determined. The maximum likelihood method is used to estimate the model’s unknown parameters. Furthermore, the proposed distribution’s usefulness is demonstrated using two medical data sets dealing with COVID-19 patients’ mortality rates, as well as extensive simulated data applied to assess the performance of the estimators of the proposed distribution.

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Section: Gull Alpha Power Lomax Distribution (Gapl)mentioning

confidence: 99%

The Gull Alpha Power Lomax distributions: Properties, simulation, and applications to modeling COVID-19 mortality rates

Tolba,

Muse,

Fayomi

et al. 2023

PLoS ONE

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“…Several works in the literature have been done to improve the flexibility of the Burr XII distribution. The Marshall-Olkin exponentiated Burr XII distribution [2], the Marshall-Olkin Generalised Burr XII distribution [3], the Lindley-Burr XII distribution [4], the Kumaraswamy exponentiated Burr XII distribution [5], the Weibull Burr XII distribution [6], the Kumaraswamy Burr XII distribution [7], order statistics of inverse Pareto distribution [8], the exponentiated exponential Burr XII distribution [10], the Garhy-Burr XII [11], the equilibrium renewal Burr XII distribution [12], the Gompertz-modified Burr XII distribution [13], and the odd exponentiated half-logistic Burr XII distribution [14].…”

Section: Introductionmentioning

confidence: 99%

On the Extension of the Burr XII Distribution: Applications and Regression

Ocloo

Brew

NASIRU³

et al. 2023

Computational Journal of Mathematical and Statistical Sciences

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In this paper, we introduce a new four-parameter mixture distribution called the Harmonic Mixture Burr XII distribution. The proposed model can be used to model data which exhibit bimodal shapes or are heavy-tailed. Specific properties like non-central and incomplete moments, quantile function, entropy, mean and median deviation, mean residual life, moment generating function, and stressstrength reliability are derived. Maximum likelihood estimation, ordinary least squares estimation, weighted least squares estimation, Cramér-von Mises estimation, and Anderson-Darling estimation methods were used to estimate the parameters of the distribution. Simulation studies was performed to assess the estimators and the maximum likelihood estimation was adjudged the best estimator. Using three sets of lifetime data, the empirical importance of the new distribution was determined. When compared to nine (9) extensions of the Burr XII distribution, it was clear that the proposed distribution fit the data better. Using the proposed model, a log-linear regression model called the log-harmonic mixture Burr XII is proposed.

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The new Topp-Leone exponentied exponential model for modeling financial data

Alsuhabi

2024

MMC

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<abstract><p>We proposed in this article a new three-parameter distribution, which is referred as the Topp-Leone exponentiated exponential model is proposed. It is used in modeling claim and risk data applied in actuarial and insurance studies. The probability density function of the suggested distribution can be unimodel and positively skewed. Different distributional and mathematical properties of the TL-EE model were provided. Furthermore, we established a maximum likelihood estimation method for estimating the unknown parameters involved in the model, and some actuarial measures were calculated. Also, the potential of these actuarial statistics were provided via numerical simulation experiments. Finally, two real datasets of insurance losses were analyzed to prove the performance and superiority of the suggested model among all its competitors distributions.</p></abstract>

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Order Statistics of Inverse Pareto Distribution

Cited by 3 publications

References 11 publications

The Gull Alpha Power Lomax distributions: Properties, simulation, and applications to modeling COVID-19 mortality rates

The Gull Alpha Power Lomax distributions: Properties, simulation, and applications to modeling COVID-19 mortality rates

On the Extension of the Burr XII Distribution: Applications and Regression

The new Topp-Leone exponentied exponential model for modeling financial data

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