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  • Open Access


    On a Novel Extended Lomax Distribution with Asymmetric Properties and Its Statistical Applications

    Aisha Fayomi1, Christophe Chesneau2,*, Farrukh Jamal3, Ali Algarni1

    CMES-Computer Modeling in Engineering & Sciences, Vol.136, No.3, pp. 2371-2403, 2023, DOI:10.32604/cmes.2023.027000

    Abstract In this article, we highlight a new three-parameter heavy-tailed lifetime distribution that aims to extend the modeling possibilities of the Lomax distribution. It is called the extended Lomax distribution. The considered distribution naturally appears as the distribution of a transformation of a random variable following the logweighted power distribution recently introduced for percentage or proportion data analysis purposes. As a result, its cumulative distribution has the same functional basis as that of the Lomax distribution, but with a novel special logarithmic term depending on several parameters. The modulation of this logarithmic term reveals new types of asymetrical shapes, implying a… More >

  • Open Access


    Modeling Reliability Engineering Data Using Scale-Invariant Quasi-Inverse Lindley Model

    Mohamed Kayid*, Tareq Alsayed

    CMC-Computers, Materials & Continua, Vol.72, No.1, pp. 1847-1860, 2022, DOI:10.32604/cmc.2022.025401

    Abstract An important property that any lifetime model should satisfy is scale invariance. In this paper, a new scale-invariant quasi-inverse Lindley (QIL) model is presented and studied. Its basic properties, including moments, quantiles, skewness, kurtosis, and Lorenz curve, have been investigated. In addition, the well-known dynamic reliability measures, such as failure rate (FR), reversed failure rate (RFR), mean residual life (MRL), mean inactivity time (MIT), quantile residual life (QRL), and quantile inactivity time (QIT) are discussed. The FR function considers the decreasing or upside-down bathtub-shaped, and the MRL and median residual lifetime may have a bathtub-shaped form. The parameters of the… More >

  • Open Access


    A New Rayleigh Distribution: Properties and Estimation Based on Progressive Type-II Censored Data with an Application

    Ali Algarni, Abdullah M. Almarashi*

    CMES-Computer Modeling in Engineering & Sciences, Vol.130, No.1, pp. 379-396, 2022, DOI:10.32604/cmes.2022.017714

    Abstract In this paper, we propose a new extension of the traditional Rayleigh distribution called the modified Kies Rayleigh distribution. The new distribution contains one scale and one shape parameter and its hazard rate function can be increasing and bathtub-shaped. Some mathematical properties of the new distribution are derived including quantiles and moments. The parameters of modified Kies Rayleigh distribution are estimated based on progressively Type-II censored data. For this purpose, we consider two estimation methods, namely maximum likelihood and maximum product of spacing estimation methods. To compare the efficiency of the proposed estimators, a simulation study is carried out. To… More >

  • Open Access


    The Arcsine-X Family of Distributions with Applications to Financial Sciences

    Yen Liang Tung1, Zubair Ahmad2, Eisa Mahmoudi2,*

    Computer Systems Science and Engineering, Vol.39, No.3, pp. 351-363, 2021, DOI:10.32604/csse.2021.014270

    Abstract The heavy-tailed distributions are very useful and play a major role in actuary and financial management problems. Actuaries are often searching for such distributions to provide the best fit to financial and economic data sets. In the current study, a prominent method to generate new distributions useful for modeling heavy-tailed data is considered. The proposed family is introduced using trigonometric function and can be named as the Arcsine-X family of distributions. For the purposes of the demonstration, a specific sub-model of the proposed family, called the Arcsine-Weibull distribution is considered. The maximum likelihood estimation method is adopted for estimating the… More >

  • Open Access


    Extended Rama Distribution: Properties and Applications

    Khaldoon M. Alhyasat1,*, Kamarulzaman Ibrahim1, Amer Al-Omari2, Mohd Aftar Abu Bakar1

    Computer Systems Science and Engineering, Vol.39, No.1, pp. 55-67, 2021, DOI:10.32604/csse.2021.014909

    Abstract In this paper, the Rama distribution (RD) is considered, and a new model called extended Rama distribution (ERD) is suggested. The new model involves the sum of two independent Rama distributed random variables. The probability density function (pdf) and cumulative distribution function (cdf) are obtained and analyzed. It is found that the new model is skewed to the right. Several mathematical and statistical properties are derived and proved. The properties studied include moments, coefficient of variation, coefficient of skewness, coefficient of kurtosis and moment generating function. Some simulations are undertaken to illustrate the behavior of these properties. In addition, the… More >

  • Open Access


    A New Four-Parameter Moment Exponential Model with Applications to Lifetime Data

    Abdullah Ali H. Ahmadini1, Amal S. Hassan2, Rokaya E. Mohamed3,*, Shokrya S. Alshqaq4, Heba F. Nagy5

    Intelligent Automation & Soft Computing, Vol.29, No.1, pp. 131-146, 2021, DOI:10.32604/iasc.2021.017652

    Abstract In this research article, we propose and study a new model the so-called Marshal-Olkin Kumaraswamy moment exponential distribution. The new distribution contains the moment exponential distribution, exponentiated moment exponential distribution, Marshal Olkin moment exponential distribution and generalized exponentiated moment exponential distribution as special sub-models. Some significant properties are acquired such as expansion for the density function and explicit expressions for the moments, generating function, Bonferroni and Lorenz curves. The probabilistic definition of entropy as a measure of uncertainty called Shannon entropy is computed. Some of the numerical values of entropy for different parameters are given. The method of maximum likelihood… More >

  • Open Access


    A New Modified Inverse Lomax Distribution: Properties, Estimation and Applications to Engineering and Medical Data

    Abdullah M. Almarashi*

    CMES-Computer Modeling in Engineering & Sciences, Vol.127, No.2, pp. 621-643, 2021, DOI:10.32604/cmes.2021.014407

    Abstract In this paper, a modified form of the traditional inverse Lomax distribution is proposed and its characteristics are studied. The new distribution which called modified logarithmic transformed inverse Lomax distribution is generated by adding a new shape parameter based on logarithmic transformed method. It contains two shape and one scale parameters and has different shapes of probability density and hazard rate functions. The new shape parameter increases the flexibility of the statistical properties of the traditional inverse Lomax distribution including mean, variance, skewness and kurtosis. The moments, entropies, order statistics and other properties are discussed. Six methods of estimation are… More >

  • Open Access


    Modeling Liver Cancer and Leukemia Data Using Arcsine-Gaussian Distribution

    Farouq Mohammad A. Alam1, Sharifah Alrajhi1, Mazen Nassar1,2, Ahmed Z. Afify3,*

    CMC-Computers, Materials & Continua, Vol.67, No.2, pp. 2185-2202, 2021, DOI:10.32604/cmc.2021.015089

    Abstract The main objective of this paper is to discuss a general family of distributions generated from the symmetrical arcsine distribution. The considered family includes various asymmetrical and symmetrical probability distributions as special cases. A particular case of a symmetrical probability distribution from this family is the Arcsine–Gaussian distribution. Key statistical properties of this distribution including quantile, mean residual life, order statistics and moments are derived. The Arcsine–Gaussian parameters are estimated using two classical estimation methods called moments and maximum likelihood methods. A simulation study which provides asymptotic distribution of all considered point estimators, 90% and 95% asymptotic confidence intervals are… More >

  • Open Access


    The Bivariate Transmuted Family of Distributions: Theory and Applications

    Jumanah Ahmed Darwish, Lutfiah Ismail Al turk, Muhammad Qaiser Shahbaz*

    Computer Systems Science and Engineering, Vol.36, No.1, pp. 131-144, 2021, DOI:10.32604/csse.2021.014764

    Abstract The bivariate distributions are useful in simultaneous modeling of two random variables. These distributions provide a way to model models. The bivariate families of distributions are not much widely explored and in this article a new family of bivariate distributions is proposed. The new family will extend the univariate transmuted family of distributions and will be helpful in modeling complex joint phenomenon. Statistical properties of the new family of distributions are explored which include marginal and conditional distributions, conditional moments, product and ratio moments, bivariate reliability and bivariate hazard rate functions. The maximum likelihood estimation (MLE) for parameters of the… More >

  • Open Access


    Bivariate Beta–Inverse Weibull Distribution: Theory and Applications

    Ali Algarni, Muhammad Qaiser Shahbaz*

    Computer Systems Science and Engineering, Vol.36, No.1, pp. 83-100, 2021, DOI:10.32604/csse.2021.014342

    Abstract Probability distributions have been in use for modeling of random phenomenon in various areas of life. Generalization of probability distributions has been the area of interest of several authors in the recent years. Several situations arise where joint modeling of two random phenomenon is required. In such cases the bivariate distributions are needed. Development of the bivariate distributions necessitates certain conditions, in a field where few work has been performed. This paper deals with a bivariate beta-inverse Weibull distribution. The marginal and conditional distributions from the proposed distribution have been obtained. Expansions for the joint and conditional density functions for… More >

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