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Using the wavelet analysis to estimate the nonparametric regression model in the presence of associated errors 利用小波分析对存在相关误差的非参数回归模型进行估计
Q4 Mathematics Pub Date : 2022-01-01 DOI: 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.
小波收缩估计是估计非参数回归函数的一种有吸引力的方法,但它在误差相关的情况下非常敏感。在本研究中,为了解决小波约简中的边界问题,除了在误差相关的情况下使用灵活的阈值外,还使用了低度多项式模型,因为它分别处理每一级的事务,而不像Visushrink方法、False Discovery Rate方法、Improvement Thresholding方法和Sureshrink方法那样同时处理所有级别的综合阈值。由于该研究是根据伊拉克青少年(特别是巴格达省)的盗窃犯罪率以及2008-2018年这些犯罪的风险比的真实月度数据进行的,样本量为128人(Sureshrink)。该研究还显示,近年来青少年盗窃犯罪率有所上升。
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引用次数: 1
Some coupled coincidence and coupled common fixed point result in dislocated quasi b-metric spaces for rational type contraction mappings 一些耦合的重合和耦合的公共不动点导致了有理型收缩映射的位错拟b-度量空间
Q4 Mathematics Pub Date : 2022-01-01 DOI: 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.
本文的目的是在位错拟b-度量空间中建立涉及一对满足有理型压缩条件的弱相容映射的耦合重合点定理和耦合公共不动点定理。提出的结果改进和推广了现有文献中几个著名的可比结果。我们还提供了一个示例来支持我们的主要结果。
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引用次数: 0
Solvability of infinite systems of fractional differential equations in the space of tempered sequence space $m^beta(phi)$ 无穷分数阶微分方程组在缓变序列空间中的可解性
Q4 Mathematics Pub Date : 2022-01-01 DOI: 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.
本文的目的是利用非紧性的豪斯多夫测度的相关技术,建立了缓变序列$m^ (φ)$空间中分数阶微分方程无穷系统解的存在性。最后,我们提供了一个例子来强调和确立我们的主要结果的重要性。
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引用次数: 2
A split common fixed point and null point problem for Lipschitzian $J-$quasi pseudocontractive mappings in Banach spaces Banach空间中Lipschitzian $J-$拟伪压缩映射的分裂公共不动点和零点问题
Q4 Mathematics Pub Date : 2022-01-01 DOI: 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).
研究了一种分割公共不动点和零点问题(SCFPNPP),它包括分割公共不动点问题、分割公共零点问题以及与不动点和零点问题相关的其他问题。引入了一种Halpern—Ishikawa型算法,用于研究实数Banach空间中Lipschitzian $J-$拟拟压缩算子和极大单调算子的分裂公共不动点和零点问题。此外,在一些合适的条件下,我们建立了一个强收敛结果,并将我们的主要结果简化为上述问题。最后,我们将研究结果应用于分割可行性问题(FEP)、分割均衡问题(SEP)、分割变分不等式问题(SVIP)和分割优化问题(SOP)。
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引用次数: 0
New bound for edge spectral radius and edge energy of graphs 给出了图的边缘谱半径和边缘能的新边界
Q4 Mathematics Pub Date : 2022-01-01 DOI: 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。
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引用次数: 0
On the location of zeros of generalized derivative 关于广义导数的零点位置
Q4 Mathematics Pub Date : 2022-01-01 DOI: 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 .
设$P(z) =displaystyle prod_{v=1}^n (z-z_v),$是阶为$n的一元多项式$,则$G_gamma[P(z)] =displaystyle sum_{k=1}^n gamma_k prod_{{v=1},{v neq k}}^n (z-z_v),$其中$gamma= (gamma_1,gamma_2,dots,gamma_n)$是一个正实数的n元组,$ sum_{k=1}^n gamma_k = n$是它的广义导数。将经典的关于临界点位置的高斯-卢卡斯定理推广到一类广义导数{g}。本文将Specht定理和A.Aziz引用{1}证明的关于临界点位置的结果推广到广义导数的一类。
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引用次数: 1
On existence of solutions for some functional integral equations in Banach algebra by fixed point theorem 用不动点定理研究Banach代数中若干泛函积分方程解的存在性
Q4 Mathematics Pub Date : 2022-01-01 DOI: 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.
本文利用非紧性测度技术和Banach空间中的Petryshyn不动点定理,分析了一类非线性泛函积分方程解的存在性。本文所得到的结果涵盖了许多作者在一些较弱条件下得到的存在性结果。我们还给出了一个满足我们主要定理的条件,但不满足其他作者所描述的条件的例子。
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引用次数: 2
Using some methods for estimating the survival times of patients infected with Covid-19 utilizing new two parameters Lindley distribution NTPLD 利用新的两参数Lindley分布NTPLD估计Covid-19患者生存时间的方法
Q4 Mathematics Pub Date : 2022-01-01 DOI: 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.
本文的目的是需要分析covid -19b患者住院至死亡的生存时间,因此有必要对生存时间进行研究并估计其信度。找到适合数据的最佳分布问题是准确分析数据的关键思想。因此,对数据拟合分布的错误指定会导致现象的推断标准质量差,也会导致可靠性估计不可靠。科学领域的许多数据具有不同的概率分布,这取决于所研究群体内现象的性质,有些数据是处理独特概率分布的简单现象,有些数据是非常复杂和异构的系统,迫使研究人员使用适合这种随机现象行为的概率分布。在可靠性、失效和生存时间领域有很多研究,可靠性(生存)的函数遵循一些常见的分布,如指数分布、威布尔分布和其他分布。在本文中,我们介绍了生存函数,它遵循生存建模中的一个重要分布,即具有两个参数的Lindley分布,考虑到该分布的两种形式,其中一种我们提出了基于不同形式的概率密度函数和寻找分布的生存函数,并使用几种估计方法与其他分布进行比较,包括最大似然估计器(MLE),(百分位数估计器),通过蒙特卡罗模拟实验,并使用积分均方误差(IMSE)、(-2ln L)和AIC进行比较,获得分布间生存函数的最佳估计,并对COVID-19患者住院至死亡的生存时间进行真实数据分析。与其他分布相比,所提出的分布在极大似然方法中对数据的拟合效果很好。
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引用次数: 0
E-small essential submodules e小的基本子模块
Q4 Mathematics Pub Date : 2022-01-01 DOI: 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。
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引用次数: 0
A statistical approach and analysis computing based on autoregressive integrated moving averages models to predict COVID-19 outbreak in Iraq 基于自回归综合移动平均模型的统计方法及分析计算预测伊拉克新冠肺炎疫情
Q4 Mathematics Pub Date : 2022-01-01 DOI: 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.
从2020年2月18日记录的第一例感染开始,到2021年2月底,对伊拉克感染Covid-19大流行的一整年的人数采用时间序列,以每周观察的形式收集,规模为53个观察值。研究从一组自回归移动平均模型的顺序(1,3)中发现了自回归移动平均模型的质量和适用性。根据诊断标准建立模型。这些标准是赤池信息标准、贝叶斯信息标准和汉南&奎因标准模型。研究表明,从顺序(1,3)可知,该模型是良好的、合适的,其预测结果可用于决策。
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引用次数: 1
期刊
International Journal of Nonlinear Analysis and Applications
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