Pub Date : 2022-01-01DOI: 10.22075/IJNAA.2022.5816
Mohmmed Salh AbduAlkareem Mahdi, Saad Kadem Hamza
The wavelet shrink estimator is an attractive technique when estimating the nonparametric regression functions, but it is very sensitive in the case of a correlation in errors. In this research, a polynomial model of low degree was used for the purpose of addressing the boundary problem in the wavelet reduction in addition to using flexible threshold values in the case of Correlation in errors as it deals with those transactions at each level separately, unlike the comprehensive threshold values that deal with all levels simultaneously, as (Visushrink) methods, (False Discovery Rate) method, (Improvement Thresholding) and (Sureshrink method), as the study was conducted on real monthly data represented in the rates of theft crimes for juveniles in Iraq, specifically the Baghdad governorate, and the risk ratios about those crimes for the years 2008-2018, with a sample size of (128) (Sureshrink) The study also showed an increase in the rate of theft crimes for juveniles in recent years.
{"title":"Using the wavelet analysis to estimate the nonparametric regression model in the presence of associated errors","authors":"Mohmmed Salh AbduAlkareem Mahdi, Saad Kadem Hamza","doi":"10.22075/IJNAA.2022.5816","DOIUrl":"https://doi.org/10.22075/IJNAA.2022.5816","url":null,"abstract":"The wavelet shrink estimator is an attractive technique when estimating the nonparametric regression functions, but it is very sensitive in the case of a correlation in errors. In this research, a polynomial model of low degree was used for the purpose of addressing the boundary problem in the wavelet reduction in addition to using flexible threshold values in the case of Correlation in errors as it deals with those transactions at each level separately, unlike the comprehensive threshold values that deal with all levels simultaneously, as (Visushrink) methods, (False Discovery Rate) method, (Improvement Thresholding) and (Sureshrink method), as the study was conducted on real monthly data represented in the rates of theft crimes for juveniles in Iraq, specifically the Baghdad governorate, and the risk ratios about those crimes for the years 2008-2018, with a sample size of (128) (Sureshrink) The study also showed an increase in the rate of theft crimes for juveniles in recent years.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"1855-1862"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68127785","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 : 2022-01-01DOI: 10.22075/IJNAA.2020.21543.2270
Mesaud Tesfaye Yimer, Kidane Koyas, S. Gebregiorgis
The aim of this paper is to establish coupled coincidence and coupled common fixed point theorems involving a pair of weakly compatible mappings satisfying rational type contractive condition in the setting of dislocated quasi b-metric spaces. The presented result improves and generalizes several well-known comparable results in the existing literature. We also provided an example in support of our main result.
{"title":"Some coupled coincidence and coupled common fixed point result in dislocated quasi b-metric spaces for rational type contraction mappings","authors":"Mesaud Tesfaye Yimer, Kidane Koyas, S. Gebregiorgis","doi":"10.22075/IJNAA.2020.21543.2270","DOIUrl":"https://doi.org/10.22075/IJNAA.2020.21543.2270","url":null,"abstract":"The aim of this paper is to establish coupled coincidence and coupled common fixed point theorems involving a pair of weakly compatible mappings satisfying rational type contractive condition in the setting of dislocated quasi b-metric spaces. The presented result improves and generalizes several well-known comparable results in the existing literature. We also provided an example in support of our main result.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"52 1","pages":"573-582"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68115805","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 : 2022-01-01DOI: 10.22075/IJNAA.2021.23299.2515
H. Mehravaran, Hojjatollah Amiri Kayvanloo, R. Allahyari
The purpose of this article, is to establish the existence of solution of infinite systems of fractional differential equations in space of tempered sequence $m^beta(phi)$ by using techniques associated with Hausdorff measures of noncompactness. Finally, we provide an example to highlight and establish the importance of our main result.
{"title":"Solvability of infinite systems of fractional differential equations in the space of tempered sequence space $m^beta(phi)$","authors":"H. Mehravaran, Hojjatollah Amiri Kayvanloo, R. Allahyari","doi":"10.22075/IJNAA.2021.23299.2515","DOIUrl":"https://doi.org/10.22075/IJNAA.2021.23299.2515","url":null,"abstract":"The purpose of this article, is to establish the existence of solution of infinite systems of fractional differential equations in space of tempered sequence $m^beta(phi)$ by using techniques associated with Hausdorff measures of noncompactness. Finally, we provide an example to highlight and establish the importance of our main result.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"1023-1034"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68119267","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 : 2022-01-01DOI: 10.22075/IJNAA.2021.23332.2521
U. S. Jim, D. Igbokwe
A split common fixed point and null point problem (SCFPNPP) which includes the split common fixed point problem, the split common null point problem and other problems related to the fixed point problem and the null point problem is studied. We introduce a Halpern--Ishikawa type algorithm for studying the split common fixed point and null point problem for Lipschitzian $J-$quasi pseudocontractive operators and maximal monotone operators in real Banach spaces. Moreover, we establish a strong convergence results under some suitable conditions and reduce our main result to the above-mentioned problems. Finally, we applied the study to split feasibility problem (FEP), split equilibrium problem (SEP), split variational inequality problem (SVIP) and split optimization problem (SOP).
{"title":"A split common fixed point and null point problem for Lipschitzian $J-$quasi pseudocontractive mappings in Banach spaces","authors":"U. S. Jim, D. Igbokwe","doi":"10.22075/IJNAA.2021.23332.2521","DOIUrl":"https://doi.org/10.22075/IJNAA.2021.23332.2521","url":null,"abstract":"A split common fixed point and null point problem (SCFPNPP) which includes the split common fixed point problem, the split common null point problem and other problems related to the fixed point problem and the null point problem is studied. We introduce a Halpern--Ishikawa type algorithm for studying the split common fixed point and null point problem for Lipschitzian $J-$quasi pseudocontractive operators and maximal monotone operators in real Banach spaces. Moreover, we establish a strong convergence results under some suitable conditions and reduce our main result to the above-mentioned problems. Finally, we applied the study to split feasibility problem (FEP), split equilibrium problem (SEP), split variational inequality problem (SVIP) and split optimization problem (SOP).","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"71 1","pages":"1827-1853"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68119321","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 : 2022-01-01DOI: 10.22075/IJNAA.2021.23361.2523
S. Semnani, Samira Sabeti
Let $ X(V,E) $ be a simple graph with $ n $ vertices and $ m $ edges without isolated vertices. Denote by $ B = (b_{ij})_{mtimes m} $ the edge adjacency matrix of $ X $. Eigenvalues of the matrix $ B $, $mu_1, mu_2, cdots, mu_m $, are the edge spectrum of the graph $ X $. An important edge spectrum-based invariant is the graph energy, defined as $ E_e(X) =sum_{i=1}^{m} vert mu_i vert $. Suppose $ B^{'} $ be an edge subset of $ E(X) $ (set of edges of $ X $). For any $ e in B^{'} $ the degree of the edge $ e_i $ with respect to the subset $ B^{'} $ is defined as the number of edges in $ B^{'} $ that are adjacent to $ e_i $. We call it as $ varepsilon $-degree and is denoted by $ varepsilon_i $. Denote $ mu_1(X) $ as the largest eigenvalue of the graph $ X $ and $ s_i $ as the sum of $ varepsilon $-degree of edges that are adjacent to $ e_i $. In this paper, we give lower bounds of $ mu_1(X) $ and $ mu_1^{D^{'}}(X) $ in terms of $ varepsilon $-degree. Consequently, some existing bounds on the graph invariants $ E_e(X) $ are improved.
设$ X(V,E) $是一个简单的图,有$ n $个顶点和$ m $条边,没有孤立的顶点。用$ B = (b_{ij})_{mtimes m} $表示$ X $的边邻接矩阵。矩阵$ B $, $mu_1, $ mu_2, cdots, mu_m $的特征值是图$ X $的边谱。一个重要的基于边缘谱的不变量是图能量,定义为$ E_e(X) =sum_{i=1}^{m} vert mu_i vert $。假设$ B^{'} $是$ E(X) $ ($ X $的边集)的边子集。对于B^{'} $中的任意$ e,边$ e_i $相对于子集$ B^{'} $的度定义为$ B^{'} $中与$ e_i $相邻的边的个数。我们称它为$ varepsilon $-degree,用$ varepsilon_i $表示。表示$ mu_1(X) $为图$ X $的最大特征值,$ s_i $为与$ e_i $相邻的$ varepsilon $-度的边的和。本文给出了$ mu_1(X) $和$ mu_1^{D^{'}}(X) $的下界用$ varepsilon $-degree表示。因此,改进了图不变量$ E_e(X) $上的一些已有界。
{"title":"New bound for edge spectral radius and edge energy of graphs","authors":"S. Semnani, Samira Sabeti","doi":"10.22075/IJNAA.2021.23361.2523","DOIUrl":"https://doi.org/10.22075/IJNAA.2021.23361.2523","url":null,"abstract":"Let $ X(V,E) $ be a simple graph with $ n $ vertices and $ m $ edges without isolated vertices. Denote by $ B = (b_{ij})_{mtimes m} $ the edge adjacency matrix of $ X $. Eigenvalues of the matrix $ B $, $mu_1, mu_2, cdots, mu_m $, are the edge spectrum of the graph $ X $. An important edge spectrum-based invariant is the graph energy, defined as $ E_e(X) =sum_{i=1}^{m} vert mu_i vert $. Suppose $ B^{'} $ be an edge subset of $ E(X) $ (set of edges of $ X $). For any $ e in B^{'} $ the degree of the edge $ e_i $ with respect to the subset $ B^{'} $ is defined as the number of edges in $ B^{'} $ that are adjacent to $ e_i $. We call it as $ varepsilon $-degree and is denoted by $ varepsilon_i $. Denote $ mu_1(X) $ as the largest eigenvalue of the graph $ X $ and $ s_i $ as the sum of $ varepsilon $-degree of edges that are adjacent to $ e_i $. In this paper, we give lower bounds of $ mu_1(X) $ and $ mu_1^{D^{'}}(X) $ in terms of $ varepsilon $-degree. Consequently, some existing bounds on the graph invariants $ E_e(X) $ are improved.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"1175-1181"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68119335","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 : 2022-01-01DOI: 10.22075/IJNAA.2021.22496.2382
I. A. Wani, Mohammad Hedayetullah Mir, I. Nazir
Let $P(z) =displaystyle prod_{v=1}^n (z-z_v),$ be a monic polynomial of degree $n$, then, $G_gamma[P(z)] = displaystyle sum_{k=1}^n gamma_k prod_{{v=1},{v neq k}}^n (z-z_v),$ where $gamma= (gamma_1,gamma_2,dots,gamma_n)$ is a n-tuple of positive real numbers with $sum_{k=1}^n gamma_k = n$, be its generalized derivative. The classical Gauss-Lucas Theorem on the location of critical points have been extended to the class of generalized derivativecite{g}. In this paper, we extend the Specht Theorem and the results proved by A.Aziz cite{1} on the location of critical points to the class of generalized derivative .
{"title":"On the location of zeros of generalized derivative","authors":"I. A. Wani, Mohammad Hedayetullah Mir, I. Nazir","doi":"10.22075/IJNAA.2021.22496.2382","DOIUrl":"https://doi.org/10.22075/IJNAA.2021.22496.2382","url":null,"abstract":"Let $P(z) =displaystyle prod_{v=1}^n (z-z_v),$ be a monic polynomial of degree $n$, then, $G_gamma[P(z)] = displaystyle sum_{k=1}^n gamma_k prod_{{v=1},{v neq k}}^n (z-z_v),$ where $gamma= (gamma_1,gamma_2,dots,gamma_n)$ is a n-tuple of positive real numbers with $sum_{k=1}^n gamma_k = n$, be its generalized derivative. The classical Gauss-Lucas Theorem on the location of critical points have been extended to the class of generalized derivativecite{g}. In this paper, we extend the Specht Theorem and the results proved by A.Aziz cite{1} on the location of critical points to the class of generalized derivative .","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"179-184"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68119442","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 : 2022-01-01DOI: 10.22075/IJNAA.2021.23635.2570
M. Kazemi
In this research, we analyze the existence of solution for some nonlinear functional integral equations using the techniques of measures of noncompactness and the Petryshyn's fixed point theorem in Banach space. The results obtained in this paper cover many existence results obtained by numerous authors under some weaker conditions. We also give an example satisfying the conditions of our main theorem but not satisfying the conditions described by other authors.
{"title":"On existence of solutions for some functional integral equations in Banach algebra by fixed point theorem","authors":"M. Kazemi","doi":"10.22075/IJNAA.2021.23635.2570","DOIUrl":"https://doi.org/10.22075/IJNAA.2021.23635.2570","url":null,"abstract":"In this research, we analyze the existence of solution for some nonlinear functional integral equations using the techniques of measures of noncompactness and the Petryshyn's fixed point theorem in Banach space. The results obtained in this paper cover many existence results obtained by numerous authors under some weaker conditions. We also give an example satisfying the conditions of our main theorem but not satisfying the conditions described by other authors.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"451-466"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68120327","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 : 2022-01-01DOI: 10.22075/ijnaa.2021.6073
Z. K. Gaafar, M. H. Al-Sharoot
The aim of this paper is the needs to analyze the survival time for patients with Covide-19b who remains in the hospital until death, so it is necessary to study the survival times and estimate the reliability. The problem of finding the best distribution that fits the data is the key idea to analyze the data accurately. Consequently, the misspecifying of the distribution that fit the data leads to poor quality inference criteria of the phenomenon, also leads to unreliable reliability estimations. Many data of sciences areas are of different probability distributions depending on the nature of the phenomenon within the studied communities Some of the data are represented simple phenomena that cope with a unique probability distribution, and some of which are very complex and heterogeneous systems that force the researchers to use probability distributions fits the behavior of this random phenomenon. Many works in the field of reliability, failure and survival times, and the function of reliability (survival) follows some common distributions such as the Exponential distribution, Weibull distribution and other distributions. In this paper we introduced the survival function that follows an important distribution in survival modeling, that is called the Lindley distribution with two Parameters, taking into account two forms of this distribution, one of them we proposed based on different forms of the probability density function and finding the survival function for the distribution and compared to other distributions using several methods of estimation including the Maximum Likelihood Estimator (MLE), (percentiles estimators) by using Monte Carlo simulation experiments and comparing using the Integrated Mean Square Error (IMSE), (-2ln L) and AIC to achieve the best estimate of survival function among the distributions, as well as a real data analysis conducted for the survival times for patients with COVID-19 stay in hospital until death. The proposed distribution fitted the data very well in the Maximum Likelihood method compared with the other distribution.
{"title":"Using some methods for estimating the survival times of patients infected with Covid-19 utilizing new two parameters Lindley distribution NTPLD","authors":"Z. K. Gaafar, M. H. Al-Sharoot","doi":"10.22075/ijnaa.2021.6073","DOIUrl":"https://doi.org/10.22075/ijnaa.2021.6073","url":null,"abstract":"The aim of this paper is the needs to analyze the survival time for patients with Covide-19b who remains in the hospital until death, so it is necessary to study the survival times and estimate the reliability. The problem of finding the best distribution that fits the data is the key idea to analyze the data accurately. Consequently, the misspecifying of the distribution that fit the data leads to poor quality inference criteria of the phenomenon, also leads to unreliable reliability estimations. Many data of sciences areas are of different probability distributions depending on the nature of the phenomenon within the studied communities Some of the data are represented simple phenomena that cope with a unique probability distribution, and some of which are very complex and heterogeneous systems that force the researchers to use probability distributions fits the behavior of this random phenomenon. Many works in the field of reliability, failure and survival times, and the function of reliability (survival) follows some common distributions such as the Exponential distribution, Weibull distribution and other distributions. In this paper we introduced the survival function that follows an important distribution in survival modeling, that is called the Lindley distribution with two Parameters, taking into account two forms of this distribution, one of them we proposed based on different forms of the probability density function and finding the survival function for the distribution and compared to other distributions using several methods of estimation including the Maximum Likelihood Estimator (MLE), (percentiles estimators) by using Monte Carlo simulation experiments and comparing using the Integrated Mean Square Error (IMSE), (-2ln L) and AIC to achieve the best estimate of survival function among the distributions, as well as a real data analysis conducted for the survival times for patients with COVID-19 stay in hospital until death. The proposed distribution fitted the data very well in the Maximum Likelihood method compared with the other distribution.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68123047","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 : 2022-01-01DOI: 10.22075/IJNAA.2022.5608
M. F. Khalf, H. Abbas
Let $R$ be a commutative ring with identity, and (U_{R}) be an $R$-module, with (E = End(U_{R})). In this work we consider a generalization of class small essential submodules namely E-small essential submodules. Where the submodule $Q$ of (U_{R}) is said E-small essential if $Q$ (cap W = 0) , when W is a small submodule of (U_{R}), implies that (N_{S}left( W right) = 0), where (N_{S}left( W right) = left{ psi in E | Impsi subseteq W right}). The intersection ({overline{B}}_{R}(U)) of each submodule of (U_{R}) contained in (Soc(U_{R})). The ({overline{B}}_{R}(U)) is unique largest E-small essential submodule of (U_{R}), if (U_{R}) is cyclic. Also in this paper we study ({overline{B}}_{R}(U)) and ({overline{W}}_{E}left( U right)). The condition when ({overline{B}}_{R}(U)) is E-small essential, and (text{Tot}left( U,U right) = {overline{W}}_{E}left( U right) = J(E)) are given.
设$R$是一个具有恒等的交换环,且(U_{R})是一个$R$-模,具有(E = End(U_{R}))。本文考虑一类小本质子模的推广,即e -小本质子模。其中(U_{R})的子模块$Q$表示E-小本质,如果$Q$ (cap W = 0),当W是(U_{R})的子模块时,意味着(N_{S}左(W右)= 0),其中(N_{S}左(W右)=左{psi in E | Impsi subseteq W右})。(Soc(U_{R}))中包含的(U_{R})各子模块的交集({overline{B}}_{R}(U))。如果(U_{R})是循环的,则({overline{B}}_{R}(U))是(U_{R})的唯一最大e -小本质子模。本文还研究了({overline{B}}_{R}(U))和({overline{W}}_{E}左(U右))。给出了({overline{B}}_{R}(U))为E小本质,(text{Tot}left(U,U右)= {overline{W}}_{E}left(U右)= J(E))的条件。
{"title":"E-small essential submodules","authors":"M. F. Khalf, H. Abbas","doi":"10.22075/IJNAA.2022.5608","DOIUrl":"https://doi.org/10.22075/IJNAA.2022.5608","url":null,"abstract":"Let $R$ be a commutative ring with identity, and (U_{R}) be an $R$-module, with (E = End(U_{R})). In this work we consider a generalization of class small essential submodules namely E-small essential submodules. Where the submodule $Q$ of (U_{R}) is said E-small essential if $Q$ (cap W = 0) , when W is a small submodule of (U_{R}), implies that (N_{S}left( W right) = 0), where (N_{S}left( W right) = left{ psi in E | Impsi subseteq W right}). The intersection ({overline{B}}_{R}(U)) of each submodule of (U_{R}) contained in (Soc(U_{R})). The ({overline{B}}_{R}(U)) is unique largest E-small essential submodule of (U_{R}), if (U_{R}) is cyclic. Also in this paper we study ({overline{B}}_{R}(U)) and ({overline{W}}_{E}left( U right)). The condition when ({overline{B}}_{R}(U)) is E-small essential, and (text{Tot}left( U,U right) = {overline{W}}_{E}left( U right) = J(E)) are given.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"881-887"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68125329","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 : 2022-01-01DOI: 10.22075/ijnaa.2022.5745
Aakk Ashoor A. S. Naji
A time series has been adopted for the numbers of people infected with the Covid-19 pandemic in Iraq for a whole year, starting from the first infection recorded on February 18, 2020 until the end of February 2021, which was collected in the form of weekly observations and at a size of 53 observations. The study found the quality and suitability of the autoregressive moving average model from order (1,3) among a group of autoregressive moving average models. This model was built according to the diagnostic criteria. These criteria are the Akaike information criterion, Bayesian Information Criterion, and Hannan & Quinn Criterion models. The study concluded that this model from order (1,3) is good and appropriate, and its predictions can be adopted in making decisions.
{"title":"A statistical approach and analysis computing based on autoregressive integrated moving averages models to predict COVID-19 outbreak in Iraq","authors":"Aakk Ashoor A. S. Naji","doi":"10.22075/ijnaa.2022.5745","DOIUrl":"https://doi.org/10.22075/ijnaa.2022.5745","url":null,"abstract":"A time series has been adopted for the numbers of people infected with the Covid-19 pandemic in Iraq for a whole year, starting from the first infection recorded on February 18, 2020 until the end of February 2021, which was collected in the form of weekly observations and at a size of 53 observations. The study found the quality and suitability of the autoregressive moving average model from order (1,3) among a group of autoregressive moving average models. This model was built according to the diagnostic criteria. These criteria are the Akaike information criterion, Bayesian Information Criterion, and Hannan & Quinn Criterion models. The study concluded that this model from order (1,3) is good and appropriate, and its predictions can be adopted in making decisions.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68126408","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}