Browsing by Author "Karakaya, Kadir"

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    Binomial-Discrete Lindley Distribution
    (Ankara Üniversitesi, 2019-02-01) Kuş, Coşkun; AKdoğan, Yunus; Kınacı, İsmail; Karakaya, Kadir; ASGHARZADEH, Akbar; Other; Other
    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.
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    Modified-Lindley distribution and its applications to the real data
    (Ankara Üniversitesi, 2022) Karakaya, Kadir; Other; Other
    In this paper, a new three-parameter lifetime distribution is proposed by mixing modified Weibull and generalized gamma distributions. The point estimation on the distribution parameters are discussed through several estimators. The interval estimation is also studied with two methods based on asymptotic normality and likelihood ratio. A Monte Carlo simulation study is performed to evaluate the biases and mean square errors behaviors of point estimates for a different sample of size. A simulation study is also conducted to investigate the coverage probabilities of confidence intervals. The distribution modeling analyses are provided based on several real data sets to demonstrate the fitting ability of the introduced distribution.