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Öğe The Burr XII-Geometric Distribution(Selçuk Üniversitesi, 2014) Korkmaz, Mustafa Cagatay; Erisoglu, MuratIn this paper a lifetime distribution which is obtained by compounding Burr XII and geometric distributions, named Burr XII-geometric (BXIIG) distribution, is introduced. Several properties of the distribution such as density function, survival function, hazard function, mean lifetime, moments, order statistics, estimation by maximum likelihood and inference for large sample are derived. The BXIIG distribution has decreasing and unimodal hazard function. Furthermore, EM algorithm is also used to determine the maximum likelihood estimates of parameters. Applications to real data sets are given to show the exibility and potentiality of the proposed distribution.Öğe Detecting influential observations in Liu and modified Liu estimators(TAYLOR & FRANCIS LTD, 2013) Ertas, Hasan; Erisoglu, Murat; Kaciranlar, SelahattinIn regression, detecting anomalous observations is a significant step for model-building process. Various influence measures based on different motivational arguments are designed to measure the influence of observations through different aspects of various regression models. The presence of influential observations in the data is complicated by the existence of multicollinearity. The purpose of this paper is to assess the influence of observations in the Liu [9] and modified Liu [15] estimators by using the method of approximate case deletion formulas suggested by Walker and Birch [14]. A numerical example using a real data set used by Longley [10] and a Monte Carlo simulation are given to illustrate the theoretical results.