The main of this paper is to treat the estimation of conditional distribution function for functional data. We defined the L1 norm estimator. Under some assumption in functional data analysis the asymptotic normality of estimator is established.
{"title":"ASYMPTOTIC NORMALITY OF L1-APPROACH A KERNEL ESTIMATOR OF CONDITIONAL CUMULATIVE DISTRIBUTION FUNCTION IN THE FUNCTIONAL SINGLE INDEX MODEL","authors":"Abdelkader Bouadjemi, Maroua Mebarki, Abdelkrim Bouadjemi","doi":"10.37418/amsj.12.3.1","DOIUrl":"https://doi.org/10.37418/amsj.12.3.1","url":null,"abstract":"The main of this paper is to treat the estimation of conditional distribution function for functional data. We defined the L1 norm estimator. Under some assumption in functional data analysis the asymptotic normality of estimator is established.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129505216","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}
In this paper we consider some metrical and topological properties of the river metric $d^*$ in the plane $mathbb{R}^2^2$. We give the form of the metric segment and the set of all points that are equidistant from two points in $(rR^2,d^*)$. We also give the characterization of a compact sets in this space.
{"title":"SOME METRICAL AND TOPOLOGICAL PROPERTIES OF THE RIVER METRIC ON $mathbb{R}^2$","authors":"N. Okičić, A. Rekic-Vukovic","doi":"10.37418/amsj.12.2.8","DOIUrl":"https://doi.org/10.37418/amsj.12.2.8","url":null,"abstract":"In this paper we consider some metrical and topological properties of the river metric $d^*$ in the plane $mathbb{R}^2^2$. We give the form of the metric segment and the set of all points that are equidistant from two points in $(rR^2,d^*)$. We also give the characterization of a compact sets in this space.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114365326","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}
The objective of this paper is to develop new class of optimal iterative methods that do not need any derivative evaluations for solving nonlinear equations. Those new methods consist of an approximation of the eighth order and require four function evaluations per iteration which support the Kung-Traub assumption on optimal order for without memory schemes. Lastly, to show those new methods' performance and effectiveness, they are compared numerically with other similar methods in high-precision computation.
{"title":"A CLASS OF OPTIMAL EIGHTH ORDER ITERATIVE METHODS FOR SOLVING NONLINEAR EQUATIONS WITHOUT DERIVATIVES","authors":"Laila A. Alnaser","doi":"10.37418/amsj.12.2.7","DOIUrl":"https://doi.org/10.37418/amsj.12.2.7","url":null,"abstract":"The objective of this paper is to develop new class of optimal iterative methods that do not need any derivative evaluations for solving nonlinear equations. Those new methods consist of an approximation of the eighth order and require four function evaluations per iteration which support the Kung-Traub assumption on optimal order for without memory schemes. Lastly, to show those new methods' performance and effectiveness, they are compared numerically with other similar methods in high-precision computation.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"142 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":"128597497","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}
In this paper, we are concerned with the problem of approximating a solution of an inverse parabolic problem. In order to overcome the instability of the original problem, we use the troncature spectral method to construct a stable approximate solution. To calculate the stabilized solution, we use a numerical procedure based on the Krylov subspace method. This algorithm provides us a practical and simple method to calculate numerically the stabilized solution. Some Numerical tests are presented to illustrate the accuracy and efficiency of this method.
{"title":"COMPARISON BETWEEN THE KRYLOV SUBSPACE METHOD AND THE TRUNCATION METHOD FOR IDENTIFYING AN UNKNOWN SOURCE IN THE HEAT EQUATION","authors":"O. Coulibaly, B. Sangaré","doi":"10.37418/amsj.12.2.5","DOIUrl":"https://doi.org/10.37418/amsj.12.2.5","url":null,"abstract":"In this paper, we are concerned with the problem of approximating a solution of an inverse parabolic problem. In order to overcome the instability of the original problem, we use the troncature spectral method to construct a stable approximate solution. To calculate the stabilized solution, we use a numerical procedure based on the Krylov subspace method. This algorithm provides us a practical and simple method to calculate numerically the stabilized solution. Some Numerical tests are presented to illustrate the accuracy and efficiency of this method.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"146 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128911965","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}
In this paper, we propose a new public key cryptosystem in a non-commutative group over group ring, using a hard problem, Factorization with Discrete Logarithm Problem (FDLP). The security analysis of the proposed scheme is discussed and it is shown that the system is secure.
{"title":"A NEW PUBLIC KEY CRYPTOSYSTEM BASED ON GROUP RING","authors":"S. Makhlouf, K. Guenda","doi":"10.37418/amsj.12.2.4","DOIUrl":"https://doi.org/10.37418/amsj.12.2.4","url":null,"abstract":"In this paper, we propose a new public key cryptosystem in a non-commutative group over group ring, using a hard problem, Factorization with Discrete Logarithm Problem (FDLP). The security analysis of the proposed scheme is discussed and it is shown that the system is secure.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125350708","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}
During the process of analyzing the continuous expanded finite Fourier transforms of strictly stable $(i+j)$ vector-valued time series, it is presumed that some of the observations have been misplaced. This is done on the basis of an assumption. This is due to the fact that the method entails looking at continuous extended finite Fourier transforms. This is done so that the findings can be interpreted in a manner that is as precise as is practical given the information that is available. The reason for this is so that the findings can be used to make better decisions. Consequently of this additional data, the continuous Fourier transform will become the focal point of the researchers' achievements. At the present time, the concept of asymptotic moments is garnering a large amount of interest from researchers all around the world. In this investigation we will apply our theoretical study in case study on the subject of Electricity Energy,
{"title":"SOME DISTINGUISHING CHARACTERISTICS OF THE LINEAR IMMUTABILITY OF CONTINUOUS TIME SERIES VIA BIVARIATE VECTOR VALUED STOCHASTIC PROCESSES","authors":"A.I. El-Deosokey, M. A. Ghazal, A.M. Ben Aros","doi":"10.37418/amsj.12.2.3","DOIUrl":"https://doi.org/10.37418/amsj.12.2.3","url":null,"abstract":"During the process of analyzing the continuous expanded finite Fourier transforms of strictly stable $(i+j)$ vector-valued time series, it is presumed that some of the observations have been misplaced. This is done on the basis of an assumption. This is due to the fact that the method entails looking at continuous extended finite Fourier transforms. This is done so that the findings can be interpreted in a manner that is as precise as is practical given the information that is available. The reason for this is so that the findings can be used to make better decisions. Consequently of this additional data, the continuous Fourier transform will become the focal point of the researchers' achievements. At the present time, the concept of asymptotic moments is garnering a large amount of interest from researchers all around the world. In this investigation we will apply our theoretical study in case study on the subject of Electricity Energy,","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129445070","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}
Using a variety of statistical techniques, time series forecasting is crucial for preparing for and predicting the future. It is contingent on making an accurate forecast as to the value of a variable at some unknown time in the future. This research analyzed the missing data from the time series (a model with no missing observations and three models were considered to be missing data for the dependent variable at various positions). By a standard multiple linear regression of the four models of the study, it is clear that the series is consistent, transparent, within the bounds of statistical acceptability, the analysis used the Ordinary least square and the weighted least square to find the best prediction model with missed observation.
{"title":"INFLUENCE OF UNOBSERVED DATA IN THE TIME SERIES OF THE DEPENDENT VARIABLE AND THEIR POSITION IN ANALYSIS OF MULTIPLE LINEAR REGRESSION ON PREDICTION - CASE STUDY ON: FACTORS AFFECTING CO_2 EMISSIONS","authors":"Amira I. El-Desokey","doi":"10.37418/amsj.12.2.2","DOIUrl":"https://doi.org/10.37418/amsj.12.2.2","url":null,"abstract":"Using a variety of statistical techniques, time series forecasting is crucial for preparing for and predicting the future. It is contingent on making an accurate forecast as to the value of a variable at some unknown time in the future. This research analyzed the missing data from the time series (a model with no missing observations and three models were considered to be missing data for the dependent variable at various positions). By a standard multiple linear regression of the four models of the study, it is clear that the series is consistent, transparent, within the bounds of statistical acceptability, the analysis used the Ordinary least square and the weighted least square to find the best prediction model with missed observation.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133799532","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}
In this paper, We perform a Bayesian analysis of Zeghdoudi distribution based on type II censored data. Using two type of loss functions; balanced and unbalanced loss functions, we use three different loss functions. this estimation includes three cases of prior informations; availability and lack of primary information, we obtain Bayes estimators and the corresponding posterior risks. the analytical forms of these estimators are out of reach, so, we propose Markov chain Monte-Carlo (MCMC) procedure. Moreover, given initial values for the parameters of the model,we obtain maximum likelihood estimators. Furthermore, we compare their performance with those of the Bayesian estimators using balanced and unbalanced loss functions.
{"title":"BAYESIAN ANALYSIS UNDER UNBALANCED AND BALANCED LOSS FUNCTIONS APPLYING DIFFERENT PRIOR INFORMATIONS","authors":"I.N. Benatallah, H. Talhi, H. Aiachi, N. Khodja","doi":"10.37418/amsj.12.2.1","DOIUrl":"https://doi.org/10.37418/amsj.12.2.1","url":null,"abstract":"In this paper, We perform a Bayesian analysis of Zeghdoudi distribution based on type II censored data. Using two type of loss functions; balanced and unbalanced loss functions, we use three different loss functions. this estimation includes three cases of prior informations; availability and lack of primary information, we obtain Bayes estimators and the corresponding posterior risks. the analytical forms of these estimators are out of reach, so, we propose Markov chain Monte-Carlo (MCMC) procedure. Moreover, given initial values for the parameters of the model,we obtain maximum likelihood estimators. Furthermore, we compare their performance with those of the Bayesian estimators using balanced and unbalanced loss functions.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"102 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133457920","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}
Let $R$ be a ring and $(S, leq)$ a strictly ordered monoid. In this paper, we deal with a new approaches to reflexive property for rings by using nilpotent elements. In this direction we introduce the notions of $(S, omega)$-reflexive and $(S, omega)$-$nil$-reflexive. Examples are given that, $(S, omega)$-$nil$-reflexive is not $(S, omega)$-reflexive. Under some suitable conditions, we proved that, if $R$ is a right $APP$-ring, then $R$ is $(S, omega)$-reflexive and $R$ be a semiprime ring with the $ACC$ on left annihilator ideals, $(S, leq)$ an $a.n.u.p.$-monoid, then $R$ is $(S, omega)$-reflexive. Also, we proved that, $R$ is $(S, omega)$-$nil$-reflexive if and only if $R/I$ is $(S, overline{omega})$-$nil$-reflexive, $R$ is $(S, omega)$-$nil$-reflexive if and only if $T_{n}(R)$ is $(S, omega)$-$nil$-reflexive and we will show that, if $R$ is a right Noetherian ring, then $R$ is $(S, omega)$-$nil$-reflexive. Moreover, we investigate ring extensions which have roles in ring theory.
{"title":"ON NIL SKEW GENERALIZED POWER SERIES REFLEXIVE RINGS","authors":"E. Ali","doi":"10.37418/amsj.12.1.17","DOIUrl":"https://doi.org/10.37418/amsj.12.1.17","url":null,"abstract":"Let $R$ be a ring and $(S, leq)$ a strictly ordered monoid. In this paper, we deal with a new approaches to reflexive property for rings by using nilpotent elements. In this direction we introduce the notions of $(S, omega)$-reflexive and $(S, omega)$-$nil$-reflexive. Examples are given that, $(S, omega)$-$nil$-reflexive is not $(S, omega)$-reflexive. Under some suitable conditions, we proved that, if $R$ is a right $APP$-ring, then $R$ is $(S, omega)$-reflexive and $R$ be a semiprime ring with the $ACC$ on left annihilator ideals, $(S, leq)$ an $a.n.u.p.$-monoid, then $R$ is $(S, omega)$-reflexive. Also, we proved that, $R$ is $(S, omega)$-$nil$-reflexive if and only if $R/I$ is $(S, overline{omega})$-$nil$-reflexive, $R$ is $(S, omega)$-$nil$-reflexive if and only if $T_{n}(R)$ is $(S, omega)$-$nil$-reflexive and we will show that, if $R$ is a right Noetherian ring, then $R$ is $(S, omega)$-$nil$-reflexive. Moreover, we investigate ring extensions which have roles in ring theory.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"10 11","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114020722","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}
Mason introduced the reflexive property for ideals and then this concept was generalized by Kim and Baik, defining idempotent reflexive right ideals and rings. In this note we consider reflexive property of a special subring of the infinite upper triangular matrix ring over a ring $R.$ We proved that, if $R$ is a left $APP$-ring, then $V_{n}(R)$ is reflexive. We also give an example which shows that the ring $V_{n}(R)$ need not be left $APP$ when $R$ is a left $APP$-ring.
{"title":"A NOTE ON REFLEXIVE RINGS","authors":"E. Ali, A. Elshokry","doi":"10.37418/amsj.12.1.18","DOIUrl":"https://doi.org/10.37418/amsj.12.1.18","url":null,"abstract":"Mason introduced the reflexive property for ideals and then this concept was generalized by Kim and Baik, defining idempotent reflexive right ideals and rings. In this note we consider reflexive property of a special subring of the infinite upper triangular matrix ring over a ring $R.$ We proved that, if $R$ is a left $APP$-ring, then $V_{n}(R)$ is reflexive. We also give an example which shows that the ring $V_{n}(R)$ need not be left $APP$ when $R$ is a left $APP$-ring.","PeriodicalId":231117,"journal":{"name":"Advances in Mathematics: Scientific Journal","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124791536","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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：