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JMASM 55: MATLAB Algorithms and Source Codes of 'cbnet' Function for Univariate Time Series Modeling with Neural Networks (MATLAB) JMASM 55:用神经网络(MATLAB)进行单变量时间序列建模的“cbnet”函数的MATLAB算法和源代码
Q3 Mathematics Pub Date : 2021-09-28 DOI: 10.22237/jmasm/1608553080
Cagatay Bal, S. Demir
Artificial Neural Networks (ANN) can be designed as a nonparametric tool for time series modeling. MATLAB serves as a powerful environment for ANN modeling. Although Neural Network Time Series Tool (ntstool) is useful for modeling time series, more detailed functions could be more useful in order to get more detailed and comprehensive analysis results. For these purposes, cbnet function with properties such as input lag generator, step-ahead forecaster, trial-error based network selection strategy, alternative network selection with various performance measure and global repetition feature to obtain more alternative network has been developed, and MATLAB algorithms and source codes has been introduced. A detailed comparison with the ntstool is carried out, showing that the cbnet function covers the shortcomings of ntstool.
人工神经网络(ANN)可以被设计成一种用于时间序列建模的非参数工具。MATLAB为神经网络建模提供了强大的环境。尽管神经网络时间序列工具(ntstool)对时间序列建模很有用,但为了获得更详细、更全面的分析结果,更详细的函数可能更有用。为此,开发了cbnet函数,该函数具有输入滞后生成器、步进预报器、基于试错的网络选择策略、具有各种性能度量和全局重复特征的替代网络选择等特性,以获得更多的替代网络,并介绍了MATLAB算法和源代码。与ntstool进行了详细的比较,表明cbnet函数弥补了ntstool的不足。
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引用次数: 1
Bayesian Sensitivity-Specificity and ROC Analysis for Finding Key Drivers 寻找关键驱动因素的贝叶斯敏感性特异性和ROC分析
Q3 Mathematics Pub Date : 2021-08-31 DOI: 10.22237/jmasm/1619481960
S. Lipovetsky, Michael Conklin
Finding key drivers in regression modeling via Bayesian Sensitivity-Specificity and Receiver Operating Characteristic is suggested, and clearly interpretable results are obtained. Numerical comparisons with other techniques show that this methodology can be useful in practical statistical modeling and analysis helping to researchers and managers in making meaningful decisions.
建议通过贝叶斯灵敏度特异性和接收器操作特性来寻找回归建模中的关键驱动因素,并获得了可解释的结果。与其他技术的数值比较表明,该方法可用于实际的统计建模和分析,有助于研究人员和管理人员做出有意义的决策。
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引用次数: 4
Pairwise Balanced Designs From Cyclic PBIB Designs 循环PBIB设计中的成对平衡设计
Q3 Mathematics Pub Date : 2021-06-08 DOI: 10.22237/JMASM/1608552960
D. K. Ghosh, N. R. Desai, Shreya Ghosh
A pairwise balanced designs was constructed using cyclic partially balanced incomplete block designs with either (λ1 – λ2) = 1 or (λ2 – λ1) = 1. This method of construction of Pairwise balanced designs is further generalized to construct it using cyclic partially balanced incomplete block design when |(λ1 – λ2)| = p. The methods of construction of pairwise balanced designs was supported with examples. A table consisting parameters of Cyclic PBIB designs and its corresponding constructed pairwise balanced design is also included.
使用(λ1–λ2)=1或(λ2–λ1)=1的循环部分平衡不完全块设计构造了成对平衡设计。当|(λ1–λ2)|=p时,将这种构造成对平衡设计的方法进一步推广到使用循环部分平衡不完全块设计来构造它。还包括一个由循环PBIB设计及其相应构造的成对平衡设计的参数组成的表。
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引用次数: 0
On the Level of Precision of a Heterogeneous Transfer Function in a Statistical Neural Network Model 统计神经网络模型中异构传递函数的精度水平
Q3 Mathematics Pub Date : 2021-06-08 DOI: 10.22237/JMASM/1608553560
C. Udomboso
A heterogeneous function of the statistical neural network is presented from two transfer functions: symmetric saturated linear and hyperbolic tangent sigmoid. The precision of the derived heterogeneous model over their respective homogeneous forms are established, both at increased sample sizes hidden neurons. Results further show the sensitivity of the heterogeneous model to increase in hidden neurons.
从对称饱和线性和双曲正切s型传递函数出发,给出了统计神经网络的异质函数。推导出的异质模型的精度超过了它们各自的同质形式,都是在增加样本大小的隐藏神经元下建立的。结果进一步表明,异质模型对隐藏神经元的敏感性增加。
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引用次数: 0
A New Generalized Family of Distributions for Lifetime Data 寿命数据的一种新的广义分布族
Q3 Mathematics Pub Date : 2021-06-08 DOI: 10.22237/JMASM/1608553200
Maha A. Aldahlan, Mohamed G. Khalil, A. Afify
A new class of continuous distributions called the generalized Burr X-G family is introduced. Some special models of the new family are provided. Some of its mathematical properties including explicit expressions for the quantile and generating functions, ordinary and incomplete moments, order statistics and Rényi entropy are derived. The maximum likelihood is used for estimating the model parameters. The flexibility of the generated family is illustrated by means of two applications to real data sets.
引入了一类新的连续分布,称为广义Burr X-G族。提供了新家族的一些特殊型号。导出了它的一些数学性质,包括分位数和生成函数的显式表达式、普通矩和不完全矩、序统计量和rsamnyi熵。最大似然用于模型参数的估计。通过对两个实际数据集的应用,说明了生成族的灵活性。
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引用次数: 3
A New Right-Skewed Upside Down Bathtub Shaped Heavy-tailed Distribution and its Applications 一种新的右斜上下浴缸形重尾分布及其应用
Q3 Mathematics Pub Date : 2021-06-08 DOI: 10.22237/JMASM/1608552600
S. Maurya, S. Singh, U. Singh
A one parameter right skewed, upside down bathtub type, heavy-tailed distribution is derived. Various statistical properties and maximum likelihood approaches for estimation purpose are studied. Five different real data sets with four different models are considered to illustrate the suitability of the proposed model.
导出了一种单参数右偏倒浴盆型重尾分布。研究了用于估计目的的各种统计性质和最大似然方法。考虑了五种不同的实际数据集和四种不同的模型,以说明所提出模型的适用性。
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引用次数: 3
VIF-Regression Screening Ultrahigh Dimensional Feature Space VIF回归筛选超高维特征空间
Q3 Mathematics Pub Date : 2021-06-08 DOI: 10.22237/JMASM/1608553020
Hassan S. Uraibi
Iterative Sure Independent Screening (ISIS) was proposed for the problem of variable selection with ultrahigh dimensional feature space. Unfortunately, the ISIS method transforms the dimensionality of features from ultrahigh to ultra-low and may result in un-reliable inference when the number of important variables particularly is greater than the screening threshold. The proposed method has transformed the ultrahigh dimensionality of features to high dimension space in order to remedy of losing some information by ISIS method. The proposed method is compared with ISIS method by using real data and simulation. The results show this method is more efficient and more reliable than ISIS method.
针对超高维特征空间中的变量选择问题,提出了迭代确定独立筛选(ISIS)方法。不幸的是,ISIS方法将特征的维度从超高转换为超低,并且当重要变量的数量特别大于筛选阈值时,可能导致不可靠的推断。该方法将特征的超高维转换为高维空间,以弥补ISIS方法丢失的一些信息。通过实际数据和仿真,将该方法与ISIS方法进行了比较。结果表明,该方法比ISIS方法更有效、更可靠。
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引用次数: 0
JMASM 57: Bayesian Survival Analysis of Lomax Family Models with Stan (R) JMASM 57:具有Stan(R)的Lomax家族模型的贝叶斯生存分析
Q3 Mathematics Pub Date : 2021-06-08 DOI: 10.22237/JMASM/1608553800
Mohammed H. A. AbuJarad, A. A. Khan
An attempt is made to fit three distributions, the Lomax, exponential Lomax, and Weibull Lomax to implement Bayesian methods to analyze Myeloma patients using Stan. This model is applied to a real survival censored data so that all the concepts and computations will be around the same data. A code was developed and improved to implement censored mechanism throughout using rstan. Furthermore, parallel simulation tools are also implemented with an extensive use of rstan.
尝试拟合三种分布,Lomax、指数Lomax和Weibull-Lomax,以使用Stan实现贝叶斯方法来分析骨髓瘤患者。该模型应用于真实的生存审查数据,因此所有的概念和计算都将围绕相同的数据。开发并改进了一个代码,以在整个使用rstan的过程中实现审查机制。此外,还广泛使用rstan实现了并行仿真工具。
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引用次数: 0
Two Different Classes of Shrinkage Estimators for the Scale Parameter of the Rayleigh Distribution 瑞利分布尺度参数的两种不同的收缩估计器
Q3 Mathematics Pub Date : 2021-06-08 DOI: 10.22237/JMASM/1608553440
Talha Omer, Zawar Hussain, Muhammad Qasim, Said Farooq Shah, Akbar Ali Khan
Shrinkage estimators are introduced for the scale parameter of the Rayleigh distribution by using two different shrinkage techniques. The mean squared error properties of the proposed estimator have been derived. The comparison of proposed classes of the estimators is made with the respective conventional unbiased estimators by means of mean squared error in the simulation study. Simulation results show that the proposed shrinkage estimators yield smaller mean squared error than the existence of unbiased estimators.
利用两种不同的收缩技术,对瑞利分布的尺度参数引入了收缩估计量。推导了该估计器的均方误差性质。在模拟研究中,通过均方误差将所提出的估计类与各自的传统无偏估计进行了比较。仿真结果表明,与无偏估计的存在性相比,所提出的收缩估计的均方误差更小。
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引用次数: 0
Generalized Ratio-cum-Product Estimator for Finite Population Mean under Two-Phase Sampling Scheme 两阶段抽样方案下有限总体均值的广义比值积估计
Q3 Mathematics Pub Date : 2021-06-08 DOI: 10.22237/JMASM/1608553320
G. Vishwakarma, S. Zeeshan
A method to lower the MSE of a proposed estimator relative to the MSE of the linear regression estimator under two-phase sampling scheme is developed. Estimators are developed to estimate the mean of the variate under study with the help of auxiliary variate (which are unknown but it can be accessed conveniently and economically). The mean square errors equations are obtained for the proposed estimators. In addition, optimal sample sizes are obtained under the given cost function. The comparison study has been done to set up conditions for which developed estimators are more effective than other estimators with novelty. The empirical study is also performed to supplement the claim that the developed estimators are more efficient.
提出了一种在两阶段采样方案下,相对于线性回归估计器的MSE降低所提出估计器MSE的方法。估计器是在辅助变量(未知,但可以方便经济地访问)的帮助下开发的,用于估计所研究变量的平均值。对于所提出的估计量,得到了均方误差方程。此外,在给定的成本函数下,得到了最优样本量。比较研究已经建立了条件,在这些条件下,所开发的估计量比其他具有新颖性的估计量更有效。还进行了实证研究,以补充所开发的估计量更有效的说法。
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引用次数: 3
期刊
Journal of Modern Applied Statistical Methods
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