Pub Date : 2023-04-20DOI: 10.19139/soic-2310-5070-1707
M. Zozyuk, D. Koroliouk, Pavel Krysenko, Alexei Yurikov, Y. Yakymenko
This work proposes an algorithm for properties predicting metamaterials depending on their structure, physical properties of the components of metamaterials, and their characteristics. In this context, the term ”properties” means the result of interacting with the irradiation of a material with electromagnetic exposure of a certain frequency or spectral composition to determine the transmittance/reflection coefficients of the metamaterial. The model is based on the construction of metamaterial in form of a 3D object, the presentation of physical properties in the form of additional components in the object’s vectors, the presentation of experimental data in the form of polynomial coefficients, or the points on the chart of dependencies. Despite the small amount of data, a sufficiently small error rate was obtained for both cases, and the prediction results of experimental data are presented. The amount of experimental data can be increased by supplementary parameters which characterize the conditions under which the experimental data were obtained - polarization, angle of incidence, the intensity of irradiation, etc. The main issues may arise during the preparation of data for neural network learning due to difficulties in converting 3D formats into the required array of data and taking into account all the circumstances, dielectric and magnetic permeabilities, and specific conductivity.
{"title":"Prediction of Characteristics Using a Convolutional Neural Network Based on Experimental Data on the Structure and Composition of Metamaterials","authors":"M. Zozyuk, D. Koroliouk, Pavel Krysenko, Alexei Yurikov, Y. Yakymenko","doi":"10.19139/soic-2310-5070-1707","DOIUrl":"https://doi.org/10.19139/soic-2310-5070-1707","url":null,"abstract":"This work proposes an algorithm for properties predicting metamaterials depending on their structure, physical properties of the components of metamaterials, and their characteristics. In this context, the term ”properties” means the result of interacting with the irradiation of a material with electromagnetic exposure of a certain frequency or spectral composition to determine the transmittance/reflection coefficients of the metamaterial. The model is based on the construction of metamaterial in form of a 3D object, the presentation of physical properties in the form of additional components in the object’s vectors, the presentation of experimental data in the form of polynomial coefficients, or the points on the chart of dependencies. Despite the small amount of data, a sufficiently small error rate was obtained for both cases, and the prediction results of experimental data are presented. The amount of experimental data can be increased by supplementary parameters which characterize the conditions under which the experimental data were obtained - polarization, angle of incidence, the intensity of irradiation, etc. The main issues may arise during the preparation of data for neural network learning due to difficulties in converting 3D formats into the required array of data and taking into account all the circumstances, dielectric and magnetic permeabilities, and specific conductivity.","PeriodicalId":131002,"journal":{"name":"Statistics, Optimization & Information Computing","volume":"53 1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130332680","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}
Pub Date : 2023-04-20DOI: 10.19139/soic-2310-5070-1443
H. Alizadeh Noughabi, M. S. Noughabi
The Lindley distribution may serve as a useful reliability model. Applications of this distribution are presented in statistical literature. In this article, goodness of fit tests for the Lindley distribution based on the empirical distribution function (EDF) are considered. In order to compute the test statistics, we use the maximum likelihood estimate (MLE) suggested by Ghitany et al. (2008), which is simple explicit estimator. Critical points of the proposed test statistics are obtained by Monte Carlo simulation. Power comparisons of the considered tests are carried out via simulations. Finally, two illustrative examples are presented and analyzed.
林德利分布可以作为一种有用的可靠性模型。统计文献中介绍了这种分布的应用。本文考虑了基于经验分布函数(EDF)的林德利分布的拟合优度检验。为了计算检验统计量，我们使用Ghitany et al.(2008)提出的最大似然估计(MLE)，这是一种简单的显式估计量。通过蒙特卡罗模拟得到了试验统计量的临界点。通过仿真对所考虑的测试进行了功率比较。最后，给出了两个实例并进行了分析。
{"title":"On Testing the Adequacy of the Lindley Model and Power Study","authors":"H. Alizadeh Noughabi, M. S. Noughabi","doi":"10.19139/soic-2310-5070-1443","DOIUrl":"https://doi.org/10.19139/soic-2310-5070-1443","url":null,"abstract":"The Lindley distribution may serve as a useful reliability model. Applications of this distribution are presented in statistical literature. In this article, goodness of fit tests for the Lindley distribution based on the empirical distribution function (EDF) are considered. In order to compute the test statistics, we use the maximum likelihood estimate (MLE) suggested by Ghitany et al. (2008), which is simple explicit estimator. Critical points of the proposed test statistics are obtained by Monte Carlo simulation. Power comparisons of the considered tests are carried out via simulations. Finally, two illustrative examples are presented and analyzed.","PeriodicalId":131002,"journal":{"name":"Statistics, Optimization & Information Computing","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116685179","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}
Pub Date : 2023-04-01DOI: 10.19139/soic-2310-5070-1089
Olga Borysenko, Oleksandr Borysenko
We study the non-autonomous stochastic predator-prey model with a modified version of Leslie-Gower term and Holling-type II functional response driven by the system of stochastic differential equations with white noise, centered and non-centered Poisson noises. The sufficient conditions of strong persistence in the mean of the solution to the considered system are obtained.
{"title":"A Note on a Strong Persistence of Stochastic Predator-Prey Model with Jumps","authors":"Olga Borysenko, Oleksandr Borysenko","doi":"10.19139/soic-2310-5070-1089","DOIUrl":"https://doi.org/10.19139/soic-2310-5070-1089","url":null,"abstract":"We study the non-autonomous stochastic predator-prey model with a modified version of Leslie-Gower term and Holling-type II functional response driven by the system of stochastic differential equations with white noise, centered and non-centered Poisson noises. The sufficient conditions of strong persistence in the mean of the solution to the considered system are obtained.","PeriodicalId":131002,"journal":{"name":"Statistics, Optimization & Information Computing","volume":"79 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128212997","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}
Pub Date : 2023-04-01DOI: 10.19139/soic-2310-5070-1308
H. Muhammed
In this paper, the likelihood function under progressive Type II censoring is generalized for Marshal-Olkin bivariate class of distributions and applied it on the bivariate Dagum distribution. Maximum likelihood estimation is considered for the model unknown parameters. Asymptotic and bootstrap confidence intervals for the unknown parameters are evaluated under progressive Type II censoring. Bayesian estimation is also considered in both complete and progressive Type II censored samples; moreover, the Bayes estimators are obtained explicitly with respect to square error loss function in both cases.
{"title":"Analysis of Dependent Variables Following Marshal- Olkin Bivariate Distributions in the Presence of Progressive Type II Censoring","authors":"H. Muhammed","doi":"10.19139/soic-2310-5070-1308","DOIUrl":"https://doi.org/10.19139/soic-2310-5070-1308","url":null,"abstract":"In this paper, the likelihood function under progressive Type II censoring is generalized for Marshal-Olkin bivariate class of distributions and applied it on the bivariate Dagum distribution. Maximum likelihood estimation is considered for the model unknown parameters. Asymptotic and bootstrap confidence intervals for the unknown parameters are evaluated under progressive Type II censoring. Bayesian estimation is also considered in both complete and progressive Type II censored samples; moreover, the Bayes estimators are obtained explicitly with respect to square error loss function in both cases.","PeriodicalId":131002,"journal":{"name":"Statistics, Optimization & Information Computing","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129243141","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}
Pub Date : 2023-03-18DOI: 10.19139/soic-2310-5070-1758
najeeb al-matar, L. Tadj
We use optimal control theory to determine the optimal manufacturing, remanufacturing, and disposal rates in a closed-loop supply chain. The returned items are of different quality levels. The firm grades the returned items according to their quality. Each class of returned items is remanufactured and stocked separately. Also, all items are subject to deterioration and the deterioration rate depends on the class. Finally, each class of items is sold to a different segment of customers. An illustrative example is presented along with a sensitivity analysis on some of the system parameters.
{"title":"On a Closed-Loop Supply Chain with Graded Returns","authors":"najeeb al-matar, L. Tadj","doi":"10.19139/soic-2310-5070-1758","DOIUrl":"https://doi.org/10.19139/soic-2310-5070-1758","url":null,"abstract":"We use optimal control theory to determine the optimal manufacturing, remanufacturing, and disposal rates in a closed-loop supply chain. The returned items are of different quality levels. The firm grades the returned items according to their quality. Each class of returned items is remanufactured and stocked separately. Also, all items are subject to deterioration and the deterioration rate depends on the class. Finally, each class of items is sold to a different segment of customers. An illustrative example is presented along with a sensitivity analysis on some of the system parameters.","PeriodicalId":131002,"journal":{"name":"Statistics, Optimization & Information Computing","volume":"50 4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120868576","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}
Pub Date : 2023-03-18DOI: 10.19139/soic-2310-5070-1396
Afrah Al-Bossly, M. Eliwa, Muhammad Ahsan-ul-Haq, M. El-Morshedy
In this paper, a new two-parameter discrete logistic exponential distribution is proposed based on the survival discretization approach. Some statistical properties are derived, and it is found that the proposed model can be used to discuss several kinds of failure rates including unimodal, bathtub, and increasing-shaped. Moreover, it can be utilized effectively to model under- and over-dispersed data. The distribution parameters are estimated using the maximum likelihood technique. The behavior of maximum likelihood estimators is assessed utilizing a comprehensive simulation study. In the end, two real data are analyzed to show the usefulness of the new discrete distribution.
{"title":"Discrete Logistic Exponential Distribution with Application","authors":"Afrah Al-Bossly, M. Eliwa, Muhammad Ahsan-ul-Haq, M. El-Morshedy","doi":"10.19139/soic-2310-5070-1396","DOIUrl":"https://doi.org/10.19139/soic-2310-5070-1396","url":null,"abstract":"In this paper, a new two-parameter discrete logistic exponential distribution is proposed based on the survival discretization approach. Some statistical properties are derived, and it is found that the proposed model can be used to discuss several kinds of failure rates including unimodal, bathtub, and increasing-shaped. Moreover, it can be utilized effectively to model under- and over-dispersed data. The distribution parameters are estimated using the maximum likelihood technique. The behavior of maximum likelihood estimators is assessed utilizing a comprehensive simulation study. In the end, two real data are analyzed to show the usefulness of the new discrete distribution.","PeriodicalId":131002,"journal":{"name":"Statistics, Optimization & Information Computing","volume":"138 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122040070","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}
Pub Date : 2023-03-17DOI: 10.19139/soic-2310-5070-1514
Gorgees Shaheed
Based on T-X transform due to Alzaatreh et al. (2013), we propose the new weighted Topp-Leone (NWTL-Π) continuous statistical distributions with two extra shpae parameters .Then we study some basic mathematical properties. Then we study Uniform model as member of the new class with more details. Using a simulation study, we compared some methods of estimation. Finally we analyzed and used lifetime and failure time real data sets to illustrate the purposes.
基于Alzaatreh et al.(2013)的T-X变换，我们提出了带有两个额外形状参数的新的加权Topp-Leone (NWTL-Π)连续统计分布，并研究了一些基本的数学性质。然后，我们作为新类的一员对统一模型进行了更详细的研究。通过仿真研究，对几种估计方法进行了比较。最后，我们用寿命和故障时间的实际数据集来分析和说明目的。
{"title":"A New Weighted Topp-Leone Family of Distributions","authors":"Gorgees Shaheed","doi":"10.19139/soic-2310-5070-1514","DOIUrl":"https://doi.org/10.19139/soic-2310-5070-1514","url":null,"abstract":"Based on T-X transform due to Alzaatreh et al. (2013), we propose the new weighted Topp-Leone (NWTL-Π) continuous statistical distributions with two extra shpae parameters .Then we study some basic mathematical properties. Then we study Uniform model as member of the new class with more details. Using a simulation study, we compared some methods of estimation. Finally we analyzed and used lifetime and failure time real data sets to illustrate the purposes.","PeriodicalId":131002,"journal":{"name":"Statistics, Optimization & Information Computing","volume":"176 23","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120885380","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}
Pub Date : 2023-03-13DOI: 10.19139/soic-2310-5070-1225
Omid Khazaei, M. Ganjali, M. Khazaei
Quantile regression (QR) models are one of the methods for longitudinal data analysis. When responses seemto be skew and asymmetric due to outliers and heavy-tails, QR models may work suitably. This paper developes the semi-parametric quantile regression model for analyzing longitudinal continuous and ordinal mixed responses. The latent variable model and some threshold parameters are used to perform the quantile regression model’s ordinal part. The error of the latent variable model has Asymmetric Laplace (AL) distribution. The error term’s distribution is assumed to be AL distribution to model the continuous responses. The correlations of longitudinal responses belong to the same individual and those of mixed continuous and ordinal responses are considered using a random-effects approach. The regression spline is used to approximate the non-parametric part of the model. The parameter estimation procedure is performed under aBayesian paradigm using the Gibbs sampling method. A simulation study is performed to demonstrate the proposed model’s performance where the relative biases, standard errors, and root of MSEs of estimated parameters are decreased in the semi- parametric QR joint model when the number of subjects is increased. In our application, it was found that the mother’s age and her child’s age have significant effects on reading ability, and antisocial behavior depends on the child’s gender.
{"title":"A Bayesian Semi-parametric Quantile Regression Approach for Joint Modeling of Longitudinal Ordinal and Continuous Responses","authors":"Omid Khazaei, M. Ganjali, M. Khazaei","doi":"10.19139/soic-2310-5070-1225","DOIUrl":"https://doi.org/10.19139/soic-2310-5070-1225","url":null,"abstract":"Quantile regression (QR) models are one of the methods for longitudinal data analysis. When responses seemto be skew and asymmetric due to outliers and heavy-tails, QR models may work suitably. This paper developes the semi-parametric quantile regression model for analyzing longitudinal continuous and ordinal mixed responses. The latent variable model and some threshold parameters are used to perform the quantile regression model’s ordinal part. The error of the latent variable model has Asymmetric Laplace (AL) distribution. The error term’s distribution is assumed to be AL distribution to model the continuous responses. The correlations of longitudinal responses belong to the same individual and those of mixed continuous and ordinal responses are considered using a random-effects approach. The regression spline is used to approximate the non-parametric part of the model. The parameter estimation procedure is performed under aBayesian paradigm using the Gibbs sampling method. A simulation study is performed to demonstrate the proposed model’s performance where the relative biases, standard errors, and root of MSEs of estimated parameters are decreased in the semi- parametric QR joint model when the number of subjects is increased. In our application, it was found that the mother’s age and her child’s age have significant effects on reading ability, and antisocial behavior depends on the child’s gender.","PeriodicalId":131002,"journal":{"name":"Statistics, Optimization & Information Computing","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125507503","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}
Pub Date : 2023-02-26DOI: 10.19139/soic-2310-5070-1591
A. S. Nik, A. Asgharzadeh, A. Baklizi
We consider estimation and prediction of future records based on observed records from the new Pareto type distribution proposed recently by Bourguignon et al. (2016), “M. Bourguignon, H. Saulo, R. N. Fernandez, A new Pareto-type distribution with applications in reliability and income data, Physica A, 457 (2016), 166-175.”. We derived several point predictors for a future record on the basis of the first n records. Two real data sets on precipitation and Covid 19 are analysed and a Monte Carlo simulation study has been performed to evaluate the statistical performance of point predictors presented in this paper.
{"title":"Inference Based on New Pareto-Type Records With Applications to Precipitation and Covid-19 Data","authors":"A. S. Nik, A. Asgharzadeh, A. Baklizi","doi":"10.19139/soic-2310-5070-1591","DOIUrl":"https://doi.org/10.19139/soic-2310-5070-1591","url":null,"abstract":"We consider estimation and prediction of future records based on observed records from the new Pareto type distribution proposed recently by Bourguignon et al. (2016), “M. Bourguignon, H. Saulo, R. N. Fernandez, A new Pareto-type distribution with applications in reliability and income data, Physica A, 457 (2016), 166-175.”. We derived several point predictors for a future record on the basis of the first n records. Two real data sets on precipitation and Covid 19 are analysed and a Monte Carlo simulation study has been performed to evaluate the statistical performance of point predictors presented in this paper.","PeriodicalId":131002,"journal":{"name":"Statistics, Optimization & Information Computing","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127872450","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}
Pub Date : 2023-02-17DOI: 10.19139/soic-2310-5070-1678
S. Bouzebda, I. Elhattab, Y. Slaoui, Nourelhouda Taachouche
We are mainly concerned with kernel-type estimators for the moment-generating function in the present paper. More precisely, we establish the central limit theorem with the characterization of the bias and the variance for the nonparametric recursive kernel-type estimators for the moment-generating function under some mild conditions in the censored data setting. Finally, we investigate the methodology’s performance for small samples through a short simulation study.
{"title":"Nonparametric Recursive Kernel Type Eestimators for the Moment Generating Function Under Censored Data","authors":"S. Bouzebda, I. Elhattab, Y. Slaoui, Nourelhouda Taachouche","doi":"10.19139/soic-2310-5070-1678","DOIUrl":"https://doi.org/10.19139/soic-2310-5070-1678","url":null,"abstract":"\u0000 \u0000 \u0000We are mainly concerned with kernel-type estimators for the moment-generating function in the present paper. More precisely, we establish the central limit theorem with the characterization of the bias and the variance for the nonparametric recursive kernel-type estimators for the moment-generating function under some mild conditions in the censored data setting. Finally, we investigate the methodology’s performance for small samples through a short simulation study. \u0000 \u0000 \u0000","PeriodicalId":131002,"journal":{"name":"Statistics, Optimization & Information Computing","volume":"2016 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127358835","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}
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