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PROCEEDINGS OF THE 6TH INTERNATIONAL SYMPOSIUM ON CURRENT PROGRESS IN MATHEMATICS AND SCIENCES 2020 (ISCPMS 2020)最新文献

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Review of medical exposure dose in Indonesia based on general radiography technology 基于一般放射照相技术的印度尼西亚医疗照射剂量综述
I. B. G. P. Pratama
General Radiography is a type of x-ray modality that is used widely for diagnostic purposes in Indonesia. There are three types of imaging systems in General Radiography technology in its development, namely Film, Computed Radiography (CR), and Digital Radiography (DR). In this research, an analysis was made related to comparing the three imaging systems for the Chest PA procedure in Indonesia. Comparing the radiation doses of each technology with the Diagnostic Reference Level in Indonesia (IDRL) has been done. Data collection was carried out using the Si-INTAN application from January 1st, 2019, to December 31st, 2019. The analysis was carried out statistically through a t-test to obtain conclusions about each technology’s different radiation doses. Comparisons with IDRL are based on the value of Q3 (75 percentiles) radiation doses distribution for each technology. The research results showed that CR technology gave the highest dose for the Chest PA examination, which was 0.27 mGy, while DR gave the lowest dose, which was 0.11 mGy. Comparison with IDRL showed that there were doses that exceed IDRL for CR technology, whereas Film and DR technology has no dose data that exceed IDRL. This condition was influenced by an extensive dynamic range on the CR modality that allows overexposure.
普通放射照相是一种x射线模式,在印度尼西亚广泛用于诊断目的。一般放射照相技术在其发展过程中有三种成像系统,即胶片、计算机放射照相(CR)和数字放射照相(DR)。在这项研究中,分析了有关比较三种成像系统的胸部PA程序在印度尼西亚。将每种技术的辐射剂量与印度尼西亚的诊断参考水平(IDRL)进行了比较。数据收集于2019年1月1日至2019年12月31日使用Si-INTAN应用程序进行。通过t检验进行统计分析,得出每种技术不同辐射剂量的结论。与IDRL的比较是基于每种技术的Q3(75百分位数)辐射剂量分布值。研究结果显示,CR技术对胸部PA检查的剂量最高,为0.27 mGy, DR最低,为0.11 mGy。与IDRL比较,CR技术有超过IDRL的剂量,而Film和DR技术没有超过IDRL的剂量数据。这种情况受到CR模态上允许过度曝光的广泛动态范围的影响。
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引用次数: 0
Core depletion analysis of long-life CANDLE gas-cooled fast reactor using OpenMC code 用OpenMC程序分析长寿命CANDLE气冷快堆堆芯损耗
H. Raflis, Z. Su'ud, A. Waris, D. Irwanto, N. Takaki
A long-life CANDLE burn up strategy has been performed to determine the start-up core design and power flattening of core configuration for 600 MWt rating. The initial core of fuel composition is applied with a minimum amount of plutonium from the depleted uranium as booster fuel region to keep a continuous operation for several decades. In this work, long life small CANDLE gas-cooled fast reactor (GFR) will be investigated from neutron behavior interaction using OpenMC code. The OpenMC code is an open-source Monte Carlo particle transport code that enabling full-scale and high- fidelity geometry modeling of nuclear reactors and other systems. Our analysis uses nuclear data of Evaluated Nuclear Data File (ENDF/B-VII.b5) and continuous-energy cross-section. The physics parameters are characterized, including the effective multiplication factor, flux distribution, fission reaction rate distribution, and power fraction distribution. The initial CANDLE core keeps successfully in critical condition with slight fluctuation of the multiplication factor. Finally, we got the result that the CANDLE-GFR using the depleted uranium to achieve the equilibrium core is promising.
采用长寿命CANDLE燃烧策略,确定了600 MWt额定功率的启动铁芯设计和铁芯配置的功率平坦化。燃料组成的初始堆芯使用少量贫化铀中的钚作为助推器燃料区域,以保持数十年的连续运行。本文将利用OpenMC程序从中子行为相互作用的角度研究长寿命小型CANDLE气冷快堆(GFR)。OpenMC代码是一个开源的蒙特卡罗粒子传输代码,可以实现核反应堆和其他系统的全尺寸高保真几何建模。我们的分析使用了评估核数据文件(ENDF/B-VII.b5)的核数据和连续能量截面。对物理参数进行了表征,包括有效倍增系数、通量分布、裂变反应速率分布和功率分数分布。初始CANDLE岩心成功地保持在临界状态,倍增系数略有波动。最后,我们得出了使用贫铀实现平衡堆芯的CANDLE-GFR是有前景的。
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引用次数: 1
Synthesis of pyranopyrazole derivative compounds with nano-Fe3O4 catalyst 纳米fe3o4催化合成吡喃吡唑衍生物
A. Cahyana, A. Mufidah
Pyranopyrazole is a heterocyclic organic compound in which the skeleton is a pyran ring substituted by pyrazole in the ortho position. Pyranopyrazole can be synthesized using aldehyde, hydrazine, ethyl acetoacetate, and malononitrile as precursors with a multicomponent reaction method. Synthesis of pyranopyrazole is carried out through the Knoevenagel condensation reaction, Michael’s addition, and cyclization. In this research, nano-Fe3O4 is synthesized from rust and used cooking oil. Synthesis of pyranopyrazole derivate compound reached the optimal condition within 60 min of the reaction with the amount of nano-Fe3O4 catalyst is 1 % (w/w). Benzaldehyde, 2-hydroxybenzaldehyde, and cinnamaldehyde are used in variations of aldehyde in this research. The results show that the reaction in 60 min using nano-Fe3O4 produces pyranopyrazole derivative compounds. The nano-Fe3O4 is characterized using FTIR, XRD, and SEM-EDS instruments. The resulting products are characterized by FTIR, UV-Visible, and GC-MS.
吡喃吡唑是一种杂环有机化合物,其骨架是吡喃环,在邻位上被吡唑取代。以醛、肼、乙酰乙酸乙酯和丙二腈为前驱体,采用多组分反应法合成吡喃吡唑。吡吡唑的合成通过Knoevenagel缩合反应、Michael加成反应和环化反应进行。本研究以铁锈和废食用油为原料合成了纳米fe3o4。在纳米fe3o4催化剂用量为1% (w/w)的条件下,反应60 min内达到吡喃吡唑衍生物的最佳合成条件。在本研究中,苯甲醛、2-羟基苯甲醛和肉桂醛被用作醛的变体。结果表明,用纳米fe3o4在60 min内反应生成吡喃吡唑衍生物。利用FTIR、XRD和SEM-EDS等仪器对纳米fe3o4进行了表征。所得产物经FTIR、uv -可见、GC-MS表征。
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引用次数: 0
Synthesis of Pt mesoflowers as electrocatalysts for water splitting Pt介花水裂解电催化剂的合成
S. Razak, V. Fauzia, S. Budi, M. Khotib
Electrocatalytic water splitting is considered a hopeful technology in the production of hydrogen as affordable green energy. Electrocatalysts are used to enhance the electrokinetics of the hydrogen evolution reaction (HER) and oxygen evolution reaction (OER). Compared to other noble metals, platinum (Pt) has the highest efficiency and stability in HER electrocatalyst in acid or base electrolytes. Literature studies show that the electrocatalytic efficiency of nanostructured Pt is greatly affected by the shape, size, and surface of the crystal facets. For this reason, this research carried out the synthesis of Pt particles on a glass substrate coated with indium tin oxide (ITO) using square-wave pulse (SWP) electrodeposition with two variations in the electrolyte solution (KCl and KCl+H2SO4) to obtain certain crystal facets on the surface. The results show that the growth of Pt particles was affected by the presence of certain ions in the sulfuric acid electrolyte (HSO4− and SO42-). These ions promoted the formation of anisotropic, flower-like particles, while using KCl by itself as an electrolyte produced only spherically shaped Pt particles. Our Pt mesoflowers (MFs) showed better catalytic performance in the HER and a lower overpotential and slope than the Pt mesospheres (MSs). This result might be due to the presence of the high-index facets (220) and (311), which work as active sites that can break the bonding chains of compounds. On the other hand, the dominant crystal facets of the Pt MSs are (100) and (002), which are more favorable for the catalytic activity of the OER.
电催化水分解被认为是一种有希望的技术,在生产氢作为负担得起的绿色能源。电催化剂用于提高析氢反应(HER)和析氧反应(OER)的动力学。与其他贵金属相比,铂(Pt)在酸或碱电解质中作为HER电催化剂具有最高的效率和稳定性。文献研究表明,纳米结构Pt的电催化效率受晶面形状、尺寸和表面的影响很大。为此,本研究在涂有氧化铟锡(ITO)的玻璃基板上进行了方波脉冲(SWP)电沉积,在两种不同的电解质溶液(KCl和KCl+H2SO4)中进行了铂颗粒的合成,以获得表面上一定的晶体面。结果表明:硫酸电解质(HSO4−和SO42-)中存在一定的离子,会影响Pt颗粒的生长;这些离子促进了各向异性、花状颗粒的形成,而使用KCl本身作为电解质只产生球形的Pt颗粒。我们的Pt介孔花(MFs)在HER中表现出更好的催化性能,并且比Pt介孔球(MSs)具有更低的过电位和斜率。这一结果可能是由于高指数面(220)和(311)的存在,它们作为活性位点可以破坏化合物的键链。另一方面,Pt MSs的主要晶面是(100)和(002),这对OER的催化活性更有利。
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引用次数: 0
Performance evaluation of the multi-dimensional Bühlmann credibility approach in predicting multi-population mortality rates 多维<s:1> hlmann可信度方法在预测多人群死亡率中的性能评价
D. N. Parinding, S. Nurrohmah, M. Novita
Mortality prediction is a crucial aspect for insurance and pension fund companies in deciding a suitable premium. The aim of this research is to discuss a cross-country (multi-population) mortality modeling in order to obtain a better mortality prediction. This modeling is based on the multi-dimensional Buhlmann credibility approach. The expansion in this research refers to mortality rate data taken from several countries. The Buhlmann credibility theory is generally used to predict the value of a random variable in a given period in the future. In this research, prediction for years to come was done using two strategies: Expanding Window and Moving Window. For every prediction in the upcoming period, both Expanding Window and Moving Window use prediction result values as additional data to build upon the prediction model for the next year; however, Moving Window also dismisses the oldest data. The model parameter is estimated with non-parametric approach. This model is then applied to the mortality data from Japan, Sweden, and the Czech Republic. Finally, each model’s performance is analyzed using Mean Absolute Percentage Error (MAPE) and Average Mean Absolute Percentage Error (AMAPE). The result shows that the performance of the multi-dimensional Buhlmann credibility approach is satisfactory in modeling cross-country mortality rates.
死亡率预测是保险公司和养老基金公司确定合适保费的一个重要方面。本研究的目的是讨论一个跨国家(多人口)的死亡率模型,以获得更好的死亡率预测。该模型基于多维Buhlmann可信度方法。本研究的扩展涉及来自几个国家的死亡率数据。Buhlmann可信度理论通常用于预测一个随机变量在未来某一特定时期的值。在这项研究中,对未来几年的预测使用了两种策略:扩展窗口和移动窗口。对于每一个即将到来的时期的预测,扩展窗口和移动窗口都将预测结果值作为附加数据来构建下一年的预测模型;然而,移动窗口也忽略了最古老的数据。采用非参数方法估计模型参数。然后将该模型应用于日本、瑞典和捷克共和国的死亡率数据。最后,使用平均绝对百分比误差(MAPE)和平均平均绝对百分比误差(AMAPE)对每个模型的性能进行分析。结果表明,多维Buhlmann可信度方法在模拟越野死亡率方面的性能令人满意。
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引用次数: 0
Application of the adaptive neuro-fuzzy inference system (ANFIS) for simulating water fluid level control systems on horizontal separator 自适应神经模糊推理系统(ANFIS)在水平分离器水位控制系统仿真中的应用
A. N. Ismail, P. Prajitno, K. Adhitya
Control system process is an important process that occurs in the branch of industrial world, one of which is in the realm of the oil and gas industry in production of the upstream process. One of the main instrument in the upstream oil and gas process is a separator which has the function of separating the fluid content of crude oil which flows through the pipe into several phases. In a three-phase separator, the separator will separate the heavy content of crude oil into three phases, namely the gas, water and oil phases before being distributed to the gathering station. In fact, almost all control processes separator instrument at PT. Pertamina EP still using the conventional PID control model which must be continuously monitored by human resources 24 hours per day. Sometimes also with a manual control system like this causes many factors in the calculation of daily logging data errors. Therefore, this research designed an intelligent system- based control method, which is a neuro-fuzzy control. This neuro-fuzzy control method is designed using Adaptive Neuro- Fuzzy Inference System (ANFIS) algorithm model with input in the form of setpoint, error, and error difference from the process of fluid separator variable, namely fluid level (h). The research was conducted using the Simulink / MATLAB application by entering the transfer function of the separator mathematical model and then making a comparison by looking at the response graph and parameters between the PID and ANFIS controller models. The results of this research conclude that the performance of the ANFIS model controller on average has a much better overshoot than the PID model because it is always close to zero in each set point condition and the ANFIS model has a better error value when the set point is 5 with a difference in error 0.712 instead of the error value of PID controller model.
控制系统过程是发生在工业领域的一个重要过程分支,其中之一就是石油天然气工业领域中生产的上游过程。油气上游工艺的主要设备之一是分离器,它的作用是将流经管道的原油中的流体成分分离成几个相。在三相分离器中,分离器将重质原油分离成气相、水相和油相,然后分配到集输站。实际上,PT. Pertamina EP几乎所有的控制过程分离器仪器仍然使用传统的PID控制模型,必须由人力资源每天24小时连续监控。有时还采用手动控制系统,这样会导致许多因素在计算日常测井数据时出现错误。因此,本研究设计了一种基于智能系统的控制方法,即神经模糊控制。该神经模糊控制方法采用自适应神经模糊推理系统(ANFIS)算法模型设计,输入形式为设定点、误差和流体分离器过程变量的误差差。即液位(h)。研究采用Simulink / MATLAB应用程序,输入分离器数学模型的传递函数,通过对比PID和ANFIS控制器模型的响应图和参数进行研究。本研究的结果表明,ANFIS模型控制器的性能平均优于PID模型,因为它在每个设定点条件下都接近于零,并且当设定点为5时,ANFIS模型的误差值优于PID控制器模型的误差值,误差值相差0.712。
{"title":"Application of the adaptive neuro-fuzzy inference system (ANFIS) for simulating water fluid level control systems on horizontal separator","authors":"A. N. Ismail, P. Prajitno, K. Adhitya","doi":"10.1063/5.0059111","DOIUrl":"https://doi.org/10.1063/5.0059111","url":null,"abstract":"Control system process is an important process that occurs in the branch of industrial world, one of which is in the realm of the oil and gas industry in production of the upstream process. One of the main instrument in the upstream oil and gas process is a separator which has the function of separating the fluid content of crude oil which flows through the pipe into several phases. In a three-phase separator, the separator will separate the heavy content of crude oil into three phases, namely the gas, water and oil phases before being distributed to the gathering station. In fact, almost all control processes separator instrument at PT. Pertamina EP still using the conventional PID control model which must be continuously monitored by human resources 24 hours per day. Sometimes also with a manual control system like this causes many factors in the calculation of daily logging data errors. Therefore, this research designed an intelligent system- based control method, which is a neuro-fuzzy control. This neuro-fuzzy control method is designed using Adaptive Neuro- Fuzzy Inference System (ANFIS) algorithm model with input in the form of setpoint, error, and error difference from the process of fluid separator variable, namely fluid level (h). The research was conducted using the Simulink / MATLAB application by entering the transfer function of the separator mathematical model and then making a comparison by looking at the response graph and parameters between the PID and ANFIS controller models. The results of this research conclude that the performance of the ANFIS model controller on average has a much better overshoot than the PID model because it is always close to zero in each set point condition and the ANFIS model has a better error value when the set point is 5 with a difference in error 0.712 instead of the error value of PID controller model.","PeriodicalId":20561,"journal":{"name":"PROCEEDINGS OF THE 6TH INTERNATIONAL SYMPOSIUM ON CURRENT PROGRESS IN MATHEMATICS AND SCIENCES 2020 (ISCPMS 2020)","volume":"11 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87446632","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Transformation of pPICZaA-E2 to Pichia pastoris X-33 and Mut+ phenotype analysis pPICZaA-E2向毕赤酵母X-33的转化及Mut+表型分析
F. Shabihah, S. Pambudi, F. A. Sitepu, C. Ikhsan, B. Yohan, R. Lestari
Chikungunya is one of the current infectious, re-emerging diseases. Chikungunya virus (CHIKV) infection can cause some non-specific symptoms such as fever, arthralgia, and myalgia, similar to dengue and zika virus infection. The similarity of the symptoms frequently makes the diagnosis inaccurate. Therefore, a rapid and accurate diagnostic method such as an antibody-based Rapid Diagnostic Test (RDT) is needed to prevent a late or inaccurate diagnosis that can cause prolonged effects of infection. This study aims to obtain a recombinant clone colony of P. pastoris X-33 as an initial step for antibody-based RDT kit development. This study includes the transformation and the Mut+ phenotype confirmation of recombinant clones. The recombinant plasmid pPICZaA-E2 was transformed and integrated into P. pastoris X-33 genome using the electroporation method. After screening process through genome PCR, four positive recombinant clones colonies were analyzed in minimal dextrose and methanol media for Mut+ confirmation. Visualization of PCR colony shows two bands were formed in the size of 2.200 bp corresponding to the P. pastoris genome’s AOX1 gene and 1.848 bp corresponding to recombinant plasmid’s AOX1 gene that indicates the recombinant plasmid pPICZaA-E2 was integrated into the genome. All of the recombinant clones colonies grew well in minimal dextrose and minimal methanol media. Based on the results, it can be predicted that the Mut+ phenotype of P. pastoris recombinant clone was successfully obtained. However, gene sequencing must be done as a further step to confirm the presence of the recombinant DNA and the AOX1 gene in P. pastoris.
基孔肯雅热是目前再次出现的传染性疾病之一。基孔肯雅病毒感染可引起一些非特异性症状,如发烧、关节痛和肌痛,类似于登革热和寨卡病毒感染。症状的相似性常常使诊断不准确。因此,需要一种快速准确的诊断方法,如基于抗体的快速诊断试验(RDT),以防止可能导致感染长期影响的晚期或不准确诊断。本研究旨在获得重组巴斯德酵母X-33克隆集落,作为基于抗体的RDT试剂盒开发的第一步。本研究包括重组克隆的转化和Mut+表型的确认。利用电穿孔法将重组质粒pPICZaA-E2转化并整合到P. pastoris X-33基因组中。通过基因组PCR筛选后,4个阳性重组克隆菌落在微量葡萄糖和甲醇培养基中进行Mut+确认。PCR菌落可视化显示,形成了2.200 bp大小的两条条带,分别对应于帕斯德酵母基因组的AOX1基因和1.848 bp大小的重组质粒AOX1基因,表明重组质粒pPICZaA-E2已整合到基因组中。所有重组克隆菌落在少量葡萄糖和少量甲醇培养基中生长良好。由此可以预测,成功获得了重组巴斯德酵母克隆的Mut+表型。然而,基因测序必须做进一步的步骤,以确认重组DNA和AOX1基因的存在。
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引用次数: 0
Extended Inverse Lindley distribution 扩展逆Lindley分布
V. D. Maharani, D. Lestari, S. Devila
Modeling survival data depends on the shape of the hazard rate. In this paper, a distribution called the Extended Inverse Lindley distribution, will be introduced. Extended Inverse Lindley distribution is a distribution that is formed from the transformation of the two-parameter Lindley distribution. The transformations used are power transformation and inverse transformation. Thus, the Extended Inverse Lindley distribution can model heavy-tailed data with an upside-down bathtub hazard rate. In this essay, we discuss how to construct Extended Inverse Lindley distribution and characteristics of these distributions. These include the probability density function, cumulative distribution function, survival function, hazard rate, r-th moment, and mode. The parameters of the Extended Inverse Lindley distribution were estimated using the maximum likelihood method. At the end of this paper, the Extended Inverse Lindley distribution is used to illustrate the repairing time data (in hours) for 46 failures of an airborne communications receiver and shown that the Extended Inverse Lindley distribution is more suitable for modeling data than other distributions.
生存数据的建模取决于危险率的形状。本文将介绍一种称为扩展逆林德利分布的分布。扩展逆林德利分布是由双参数林德利分布变换而成的一种分布。使用的变换是幂变换和逆变换。因此,扩展逆Lindley分布可以模拟具有倒立浴缸危险率的重尾数据。本文讨论了如何构造扩展逆林德利分布以及这些分布的特征。这些函数包括概率密度函数、累积分布函数、生存函数、危险率、r矩和模态。利用极大似然法对扩展逆林德利分布的参数进行了估计。最后,利用扩展逆Lindley分布对某型机载通信接收机46个故障的修复时间(小时)数据进行了说明,表明扩展逆Lindley分布比其他分布更适合建模数据。
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引用次数: 0
Synthesis and characterization of ZnO/Au and ZnO/AuAg mesoflower composites for photoelectrochemical water-splitting applications ZnO/Au和ZnO/AuAg介花复合材料的合成与表征
Ana Mentari, V. Fauzia, M. Khotib
Photoelectrochemical (PEC) water splitting is among of the greatest assuring methods in producing hydrogen. One of the alternative semiconductor materials used as a photoanode for water-splitting applications is ZnO. However, this compound has several drawbacks that can be overcome by combining it with noble metal particles. In this study, ZnO nanorods (NRs) were synthesized using the hydrothermal method and then decorated with AuAg mesoflowers (MFs) synthesized by the wet chemical method. A linear sweep voltammogram (LSV) measurement under visible light and AM 1.5 G shows that the ZnO/AuAg MFs produced the highest photocurrent in the oxygen evolution reaction (OER) and hydrogen evolution reaction (HER) with the highest efficiency, of 0.034 % at a voltage of 0.874V vs reversible hydrogen electrode (RHE). The AuAg MFs may act as electron donors, injecting electrons into the ZnO conduction band to increase the photocurrent.
光电化学(PEC)水分解是最可靠的制氢方法之一。作为水分解应用的光阳极的替代半导体材料之一是ZnO。然而,这种化合物有几个缺点,可以通过与贵金属颗粒结合来克服。本研究采用水热法制备ZnO纳米棒(NRs),然后用湿化学法制备的AuAg介花(MFs)进行修饰。在可见光和am1.5 G下的线性扫描伏安图(LSV)测量表明,在可逆氢电极(RHE)电压为0.874V时,ZnO/AuAg MFs在析氧反应(OER)和析氢反应(HER)中产生的光电流最高,效率为0.034%。AuAg MFs可以作为电子供体,将电子注入ZnO导带以增加光电流。
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引用次数: 0
Weibull Lindley distribution 威布尔林德利分布
D. A. Magfira, D. Lestari, S. Nurrohmah
In reliability systems, there are known two types of systems namely series systems and parallel systems. In the series system, failure will occur if any of the possible events happen. Applications of the series system analysis also varies from inspecting the durability of manufactured products to examining diseases in human. Therefore, several distributions have been introduced to model failure data in series system. However, these distributions cannot model data with bathtub shaped hazard function even though it is the one mostly found in real life situation. As a result, distribution which can model lifetime data in series system with bathtub-shaped hazard function has to be developed. In real life application, there is condition where failure could occur caused by several independent events and has a bathtub shaped hazard function, for example engineering cases and competing risk. Weibull Lindley distribution, which was introduced by Asgharzadeh et al. (2018), is developed to solve the problem. As Weibull Lindley distribution describes lifetime data of an object that can experience failure caused by 2 possible events. It can model data with increasing, decreasing and bathtub shaped hazard function. Asgharzadeh et al. (2018) only show the modeling of Weibull Lindley distribution in medical field which is competing risk data. This paper discusses the process of forming the Weibull Lindley distribution, its properties and parameter estimation using the maximum likelihood method. In addition, the application of Weibull Lindley distribution in engineering field which is the lifetime data of machine consists of two independent components paired in series also be discussed.
在可靠性系统中,有两种已知的系统,即串联系统和并联系统。在串联系统中,任何可能发生的事件都将导致故障。该系列系统分析的应用也从检验制造产品的耐久性到检验人类疾病。因此,在串联系统中引入了几种分布来模拟故障数据。然而,这些分布不能用浴缸形的危险函数来模拟数据,尽管浴缸形的危险函数是现实生活中最常见的。因此,必须建立一种具有浴缸形危险函数的串联系统寿命数据的分布模型。在实际应用中,存在由几个独立事件引起的故障情况,并且具有浴缸形的危险函数,例如工程案例和竞争风险。为了解决这个问题,Asgharzadeh等人(2018)提出了Weibull Lindley分布。由于Weibull Lindley分布描述了一个对象的生命周期数据,该对象可能经历由两种可能事件引起的故障。它可以用增加、减少和浴盆形的危险函数对数据进行建模。Asgharzadeh et al.(2018)只展示了Weibull Lindley分布在医疗领域的建模,这是竞争风险数据。本文讨论了Weibull - Lindley分布的形成过程、分布的性质以及用极大似然方法进行参数估计。此外,还讨论了威布尔林德利分布在工程领域的应用,即机器的寿命数据由两个独立的组件串联而成。
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引用次数: 2
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PROCEEDINGS OF THE 6TH INTERNATIONAL SYMPOSIUM ON CURRENT PROGRESS IN MATHEMATICS AND SCIENCES 2020 (ISCPMS 2020)
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