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Dec 28, 2023Open Access
In this paper, we explore the inverse spectral problem for a kind of pseudo-symmetric matrix A(ε,c,s) that corresponds to a graph of a banana tree when all ε=1. The problem of reconstructing pseudo-symmetric matrices from their spectra was considered. The sufficient and necessary conditions for the existence of these matrices are provided, and an algorithm and numerical example were provided to illustrate their characteristics. In addition, the effectiveness of the solution was v...
Dec 27, 2023Open Access
Group testing is an efficient method for classifying observations and estimating trait prevalence in a population. However, using appropriate group sizes is crucial for maximizing its benefits. Adaptive schemes have been developed to address improper group size selection issues. Existing adaptive schemes are based on a Binomial sampling model, requiring testing of all groups before recording successes. In certain scenarios, like infectious diseases, immediate reporting of estimates upon detectio...
Jan 19, 2023Open Access
Since the start of COVID-19 there have been widely spread notions that men can contract the disease at a higher rate than women and are more likely to die from it. Furthermore, age has been reported as a risk factor in COVID-19 mortality, and a vast majority of COVID-19 deaths have been among elderly people. Therefore, it is interesting to conduct a statistical analysis on COVID-19 deaths to draw conclusions on whether men are more likely to die of COVID-19 than women, and the influence of age g...
Sep 20, 2022Open Access
Vehicular traffic congestion is an extremely dangerous problem in urban areas, where transportation networks are becoming more complicated to design and execute. However, the apparent normal idea to build more roads in order to solve the traffic congestion can be sometimes quite a bad idea. The Braess’ paradox, which is a counter-intuitive phenomenon that can occur in transportation networks, states that under certain circumstances the addition of a new road to a traffic network can increase the...
Jun 23, 2022Open Access
Ridge Regression is an important statistical method in modeling vehicle crash frequency when crash data contains collinear predictors. The term multicollinearity refers to the condition in which two or more predictors are highly correlated with one another. This would make the explanatory variables become very sensitive to small changes in the model. Multicollinearity reduces the precision of the estimated coefficients, which weakens the statistical power of the regression model. Common methods ...
Apr 24, 2022Open Access
The term grey forecasting model has been comprehensively utilized in numerous research arenas and discovered valid outcomes. Nevertheless, the model possesses certain possible problems that necessitate improvement. It has been proven that, part of the foremost issues distressing the prediction accurateness of the model are initial and background values. Henceforth, a new modified GM(1,1) model through the combination of optimized initial value and background value has been recommended in this st...
Feb 18, 2022Open Access
Statistical techniques are important tools in modeling research work. However, there could be misleading outcomes if sufficient care is undermined in choosing the right approach. Employing the correct analysis in any research work needs deep knowledge on the differences between these tools. Incorrect selection of the modeling technique would create serious problems during the interpretation of the findings and could affect the conclusion of the study. Each technique has its own assumptions and p...
Jan 29, 2022Open Access
This paper uses a multiple linear regression analysis to predict the final price of a house in a big real estate dataset. The data describes the sale of individual properties, various features, and details of each home in Ames, Iowa, USA from 2006 to 2010. The dataset comprises of 80 explanatory variables which include 23 nominal, 23 ordinal, 14 discrete, and 20 continuous variables. The goal was to use the training data to predict the sale prices of the houses in the testing data. The most impo...
Feb 26, 2021Open Access
The Information Matrix Tests (IMT) considers as one of the important global goodness of fit test. The IMT provides a unified framework for specification goodness of fit tests for a wide variety of distribution, multivariate or univariate, discrete or continuous. Many researchers discussed the IMT in cases of the outcome covariate is a continuous variable which reported it has reasonable behaviour. This article considers using IMT as a goodness of fit test for the logistic regression mode, to inv...
Jan 22, 2021Open Access
To transfer a satellite or a spacecraft from a low parking orbit to another orbit requires one of the many orbital transfers. These orbital transfers need to determine some orbital elements of the initial and final orbits as perigee and apogee distances. The transfers compete to achieve the transition with minimal consumption of energy, transfer time, as well as the highest accuracy of transition. In the present research, certain mathematical procedures implementable with the help of computers w...
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