Cilt:70 Sayı:02 (2021)

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https://dspace.ankara.edu.tr/handle/20.500.12575/86251

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Browsing Cilt:70 Sayı:02 (2021) by Author "İstatistik"

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    Numerical solution to an integral equation for the kth moment function of a geometric process
    (Ankara Üniversitesi, 2021) Pekalp, Mustafa Hilmi; İstatistik; Mühendislik Fakültesi
    In this paper, an integral equation for the kth moment function of a geometric process is derived as a generalization of the lower-order moments of the process. We propose a general solution to solve this integral equation by using the numerical method, namely trapezoidal integration rule. The general solution is reduced to the numerical solution of the integral equations which will be given for the third and fourth moment functions to compute the skewness and kurtosis of a geometric process. To illustrate the numerical method, we assume gamma, Weibull and lognormal distributions for the first interarrival time of the geometric process.
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    On bivariate extension of the univariate transmuted distribution family
    (Ankara Universitesi, 2021) Yılmaz, Mehmet; İstatistik; Fen Fakültesi
    The aim of this study is to examine the bivariate transmuted distributions in the literature and to propose alternative distribution. The method is based on mixing distributions of pairs of order statistics of a sample of size two. Some of proposed distributions allow both negative and positive Pearson correlations with admissible range between pairs of random variates. The results of the study gain importance in terms of eliminating or completing the missing aspects of the bivariate transmuted distributions existing in the literature.