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Modeling Liver Cancer and leukemia data Using Arcsine-Gaussian Distribution

Computers, Materials & Continua 2021年第5期67卷 2185-2202页

作者： Farouq Mohammad A.Alam Sharifah Alrajhi Mazen Nassar Ahmed Z.Afify Department of Statistics Faculty of ScienceKing Abdulaziz UniversityJeddah21589Saudi Arabia Department of Statistics Faculty of CommerceZagazig UniversityZagazig44511Egypt Department of Statistics Mathematics and InsuranceBenha UniversityBenha13511Egypt

The main objective of this paper is to discuss a general family of distributions generated from the symmetrical arcsine *** 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 *** statistical properties of this distribution including quantile,mean residual life,order statistics and moments are *** 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 performed to examine the estimation efficiency of the considered methods *** simulation results show that both biases and variances of the estimators tend to zero as the sample size increases,i.e.,the estimators are asymptotically ***,when the sample size increases the coverage probabilities of the confidence intervals increase to the nominal levels,while the corresponding length decrease and approach *** real data sets from the medicine filed are used to illustrate the flexibility of the Arcsine–Gaussian distribution as compared with the normal,logistic,and Cauchy *** proposed distribution is very versatile to fit real applications and can be used as a good alternative to the traditional gaussian distribution.

关键词： Liver cancer data leukemia data normal distribution moments estimation maximum likelihood estimation

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