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- 저자 : Arslan Olcay (검색결과 2 건)
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Doğru Fatma Zehra,Arslan Olcay 한국통계학회 2023 Journal of the Korean Statistical Society Vol.52 No.1
In this paper, we propose a weighted extension of the family of multivariate Generalized Asymmetric Laplace (GAL) distributions. This extension is formed as a variance-mean mixture of the multivariate normal distribution and the weighted gamma distribution. By using the weighted gamma distribution as the mixing distribution, the resulting family of weighted GAL (WGAL) distributions gains an additional parameter to further regulate kurtosis and tail thickness; this is an advantage over the family of GAL distributions for modeling data sets. In particular, this new parameter provides great flexibility in adjusting the kurtosis and tail thickness for some members of the GAL distributions family, since these distributions are the widely used members of the GAL family without any shape parameter regulating kurtosis and tail thickness. After defning the multivariate WGAL distributions family and constructing the probability density function, we give some special cases of the new family and examine various properties of the new distributions, such as linear transformations, conditional distributions, and multivariate kurtosis measure. We study the maximum likelihood (ML) estimation to estimate the parameters and describe an algorithm based on the expectation maximization (EM) principle to obtain the ML estimates. We also provide simulation studies and real data examples to explore the modeling capacity of some distributions belonging to the newly proposed family of distributions.
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Olmez-Hanci, Tugba,Imren, Ceren,Arslan-Alaton, Idil,Kabdasli, Isik,Tunay, Olcay Korean Society of Photoscience 2009 Photochemical & photobiological sciences Vol.8 No.5
This paper discusses the feasibility of the ultraviolet radiation-hydrogen peroxide ($H_2O_2$/UV-C) process as an advanced oxidation process (AOP) in the treatment of endocrine disrupting compounds (EDC). Dimethyl phthalate (DMP) was chosen as the model compound owing to its classification as an EDC. Experiments have been conducted at various pH values (3.5, 6.0 and 9.0) and initial $H_2O_2$ concentrations (0-60 mM) in a batch reactor equipped with a low-pressure mercury UV-C lamp in order to evaluate the optimal operation conditions of the $H_2O_2$/UV-C process. The most effective pH value for the degradation of DMP by $H_2O_2$/UV-C treatment was found as 6.0. DMP abatement increased with increasing $H_2O_2$ concentrations from 5 to 30 mM. Further increase in initial $H_2O_2$ concentration, however, reduced both the rate and extent of DMP removal as well as chemical oxygen demand (COD) and total organic carbon (TOC) removals. A simple kinetic model was proposed for DMP, COD and TOC abatements confirmed pseudo-first-order reaction. The electrical energy per order (EE/O) values for DMP oxidation and TOC mineralization were calculated as 3.3 and $19\;kWh\;m^{-3}\;order^{-1}$ respectively for the optimum treatment conditions ($H_2O_{2,o}$ = 30 mM, $pH_o$ = 6.0, $DMP_{o}\;=\;100\;mg\;L^{-1}$). Inhibition of oxygen uptake rate by activated sludge (ISO 8192) was evaluated as a tool for assessing the acute toxicity of untreated and $H_2O_2$/UV-C treated DMP. According to the results obtained in this work, the use of the $H_2O_2$/UV-C process is recommended to achieve a complete DMP oxidation and high mineralization degree of aqueous solution of DMP.
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