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  • Küçük Resim
    Öğe
    Binomial-discrete Lindley distribution
    (ANKARA UNIV, FAC SCI, 2019) Kuş, Coşkun; Akdoğan, Yunus; Asgharzadeh, Akbar; Kınacı, İsmail; Karakaya, Kadir
    In this paper, a new discrete distribution called Binomial-Discrete Lindley (BDL) distribution is proposed by compounding the binomial and discrete Lindley distributions. Some properties of the distribution are discussed including the moment generating function, moments and hazard rate function. The estimation of distribution parameter is studied by methods of moments, proportions and maximum likelihood. A simulation study is performed to compare the performance of the different estimates in terms of bias and mean square errors. Automobile claim data applications are also presented to see that the new distribution is useful in modelling data.
  • Küçük Resim Yok
    Öğe
    Uniform-Geometric distribution
    (TAYLOR & FRANCIS LTD, 2016) Akdoğan, Yunus; Kuş, Coşkun; Asgharzadeh, Akbar; Kiınacı, İsmail; Sharafi, Fatemeh
    In this paper, a new discrete distribution called Uniform-Geometric distribution is proposed. Several distributional properties including survival function, moments, skewness, kurtosis, entropy and hazard rate function are discussed. Estimation of distribution parameter is studied by methods of moments, proportions and maximum likelihood. A simulation study is performed to compare the performance of the different estimates in terms of bias and mean square error. Two real data applications are also presented to see that new distribution is useful in modelling data.