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Applied Mathematics-A Journal of Chinese Universities  2019, Vol. 34 Issue (2): 127-    DOI: 10.1007/s11766-019-3515-6
    
The exponentiated generalized power Lindley distribution: Properties and applications
S.M.T.K. MirMostafaee   Morad Alizadeh   Emrah Altun    Saralees Nadarajah
1 Department of Statistics,University of Mazandaran, 47416-1467, Babolsar, Iran.
2 Department of Statistics, Persian Gulf University, Bushehr, 75169, Iran.
3 Department of Statistics, Bartin University, Bartin 74100, Turkey.
4 School of Mathematics, University of Manchester, Manchester M13 9PL, UK.
The exponentiated generalized power Lindley distribution: Properties and applications
S.M.T.K. MirMostafaee   Morad Alizadeh   Emrah Altun    Saralees Nadarajah
1 Department of Statistics,University of Mazandaran, 47416-1467, Babolsar, Iran.
2 Department of Statistics, Persian Gulf University, Bushehr, 75169, Iran.
3 Department of Statistics, Bartin University, Bartin 74100, Turkey.
4 School of Mathematics, University of Manchester, Manchester M13 9PL, UK.
 全文: PDF 
摘要： In this paper, we introduce a new extension of the power Lindley distribution, called
the exponentiated generalized power Lindley distribution. Several mathematical properties of
the new model such as the shapes of the density and hazard rate functions, the quantile function,
moments, mean deviations, Bonferroni and Lorenz curves and order statistics are derived.
Moreover, we discuss the parameter estimation of the new distribution using the maximum
likelihood and diagonally weighted least squares methods. A simulation study is performed to
evaluate the estimators. We use two real data sets to illustrate the applicability of the new
model. Empirical findings show that the proposed model provides better fits than some other
well-known extensions of Lindley distributions.
关键词： Anderson-Darling test statistic;  Exponentiated generalized class of distributions;  Lambert function;  Maximum likelihood method;  Power Lindley distribution    
Abstract: In this paper, we introduce a new extension of the power Lindley distribution, called
the exponentiated generalized power Lindley distribution. Several mathematical properties of
the new model such as the shapes of the density and hazard rate functions, the quantile function,
moments, mean deviations, Bonferroni and Lorenz curves and order statistics are derived.
Moreover, we discuss the parameter estimation of the new distribution using the maximum
likelihood and diagonally weighted least squares methods. A simulation study is performed to
evaluate the estimators. We use two real data sets to illustrate the applicability of the new
model. Empirical findings show that the proposed model provides better fits than some other
well-known extensions of Lindley distributions.
Key words: Anderson-Darling test statistic    Exponentiated generalized class of distributions    Lambert function    Maximum likelihood method    Power Lindley distribution
出版日期: 2019-03-01
CLC:  60E05  
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S.M.T.K. MirMostafaee Morad Alizadeh Emrah Altun Saralees Nadarajah

引用本文:

S.M.T.K. MirMostafaee Morad Alizadeh Emrah Altun Saralees Nadarajah. The exponentiated generalized power Lindley distribution: Properties and applications[J]. Applied Mathematics-A Journal of Chinese Universities, 2019, 34(2): 127-.

S.M.T.K. MirMostafaee Morad Alizadeh Emrah Altun Saralees Nadarajah. The exponentiated generalized power Lindley distribution: Properties and applications. Applied Mathematics-A Journal of Chinese Universities, 2019, 34(2): 127-.

链接本文:

http://www.zjujournals.com/amjcub/CN/10.1007/s11766-019-3515-6    或    http://www.zjujournals.com/amjcub/CN/Y2019/V34/I2/127

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