Mathematical Theory and Modeling
https://www.iiste.org/Journals/index.php/MTM
<p><span id="internal-source-marker_0.04939836589619517"><span id="internal-source-marker_0.04939836589619517">Mathematical Theory and Modeling </span>is a peer reviewed journal published by IISTE. The journal publishes original papers at the forefront of mathematical theories, modelings, and applications. The journal is published in both printed and online versions. The online version is free access and download.</span></p><p><span>IISTE is a member of <a href="http://www.crossref.org/01company/17crossref_members.html">CrossRef</a>.</span></p><p><span><span>The DOI of the journal is: https://doi.org/10.7176/MTM</span><br /></span></p>en-USadmin@iiste.org (Alexander Decker)admin@iiste.org (John Nagoo)Tue, 31 Jan 2023 06:26:16 +0000OJS 2.3.7.0http://blogs.law.harvard.edu/tech/rss60COMPLEMENTARY GENERALIZED TRANSMUTED POISSON LOMAX DISTRIBUTION WITH ITS DERIVED PROPERTIES AND APPLICATION
https://www.iiste.org/Journals/index.php/MTM/article/view/60236
<p>There has been a renewed interest in developing more flexible statistical distributions in recent decades. A major milestone in the methods for generating statistical distributions is undoubtedly the system of differential equation approach. There is a recent renewed interest in generating skewed distributions. In this research, a new four parameter lifetime distribution which extends the Lomax distribution is introduced by compounding the Lomax distribution with the complementary generalized transmuted Poisson family of distributions. The probability density function and cumulative distribution function as well as some basic statistical properties of the new distribution, such as moments, reliability function, hazard function, quantile function, residual life function, entropy and the order statistics were derived. Some plots of the distribution shows that it is a positively skewed distribution. The maximum likelihood estimation method is used to estimate the parameters of the new distribution. A simulation study to assess the performance of the parameters of the newly developed distribution was provided with an application to real life data to assess its potentiality. The result shows that the proposed distribution provides better fit than some generalizations of the Lomax .</p> <p><strong>Keywords:</strong> Lifetime distribution, maximum likelihood estimation, Lomax distribution, hazard function, order statistics.</p>Taiwo, S. A.https://www.iiste.org/Journals/index.php/MTM/article/view/60236A STUDY OF COMPLETEAND INCOMPLETE REACTIONS IN OF 12C +169TM SYSTEM AT ENERGY RANGE ≈ 3.6–7.5 MEV/NUCLEON
https://www.iiste.org/Journals/index.php/MTM/article/view/60237
<p>Excitation functions of <sup>169</sup>Tm( 12 C, 4n) <sup>177</sup>Re, <sup>169</sup>Tm( <sup>12</sup>C, 5n) <sup>176</sup>Re, <sup>169</sup>Tm( <sup>12</sup>C, n) <sup>176</sup>Ta , 169 Tm( <sup>12</sup>C, 2n) <sup>175</sup>Ta , <sup>169</sup>Tm( 12 C, 3n) <sup>174</sup>Ta , <sup>169</sup>Tm( <sup>12</sup>C, 4n) <sup>173</sup>Ta , and <sup>169</sup>Tm( <sup>12</sup>C, 22n) <sup>171</sup>Lu reaction channels populated in the interaction of <sup>12</sup>C projectile with <sup>169</sup>Tm target were considered in order to investigate the mechanisms of complete and incomplete fusion reactions. The theoretically predicted excitation functions using PACE4 code were compared with the previously measured excitation functions. For non–α emitting channels cross-section values predicted by PACE 4 in general were found to be in good agreement with the experimentally measured values. However, for α-emitting channels the measured cross-section values were found to be higher than the values predicted by PACE4. The observed disagreement may be credited to projectile break-up in the vicinity of n-n interaction.</p> <p><strong>Keywords:</strong> alpha emitted, CF reaction, excitation functions, heavy-ion fusion, ICF reaction, non-alpha emitted</p>Getahun Kebedehttps://www.iiste.org/Journals/index.php/MTM/article/view/60237(Tc) Technique for Finding Optimal Solution To Transportation Problem
https://www.iiste.org/Journals/index.php/MTM/article/view/60238
<p>Given the importance of increasing economic openness transport companies’ face various issues arising at present time, this required importing different types of goods with different means of transport. Therefore, these companies pay great attention to reducing total costs of transporting commodities by using numbers means of transport methods from their sources to the destinations.</p> <p>The majority of private companies do not acquire the knowledge of using operations research methods, especially transport models, through which the total costs can be reduced, resulting in the importance and need to solve such a problem. This research presents a proposed method for the sum of Total Costs (Tc) of rows and columns, in order to arrive at the initial solutions accepted by its algorithm and compare the solution with a set of solutions that were reached through classic methods studied previously. Moreover, this research aims to compare results obtained using the proposed method versus the optimal solution after testing using the modified distribution method (MODI), and the percentile deviation scale, these tests were used to measure the efficiency of the solution for the proposed method with the optimal solution.</p> <p>It was concluded that the proposed method is the easiest with the least iterations number of calculations, which in turn resulted in reaching the optimal solution in transporting the optimal quantities and reducing total costs of transportation from various sources to the requesting destinations. Thus, the proposed method can be used by the companies operating in importation-exportation field to find optimal solutions for the transportation of various commodities.<em> </em></p> <p><strong>Key words: </strong>Total cost, Optimal Solution, Transportation problem, Degeneracy.</p> <p><strong> </strong></p>Basher. F. Mohammedhttps://www.iiste.org/Journals/index.php/MTM/article/view/60238Non-Parametric Estimator for a Finite Population Total Under Stratified Sampling Incorporating a Hybrid of Data Transformation and Reflection Techniques
https://www.iiste.org/Journals/index.php/MTM/article/view/60383
<p>Survey sampling methods are used in the estimation of population parameters of interest. This field has received increased demand due to the reliable statistics they produce. Information is extracted from the samples and used to make inferences about the population. In this paper, a nonparametric estimator for a finite population total that addresses the problem of boundary bias is proposed. The properties of this estimator were studied in order to determine its accuracy. The estimator was applied to a simulated data and the analysis was done using R statistical package version i386 4.0.3 and the results of the bias confirmed. The performance of the proposed estimator was tested and compared to the design-based Horvitz-Thompson estimator, the model-based approach proposed by Dorfman and the ratio estimator. This was done by studying both the unconditional and conditional properties of the estimators under the linear, quadratic and exponential mean functions. The proposed estimator outperformed other estimators in quadratic and exponential mean functions and therefore can be recommended for estimation and addressing the boundary problem.</p> <p><strong><em>Keyword</em></strong><em>s: data transformation, data reflection, boundary bias</em></p>Nicholas Mugambi, Romanus Otieno Odhiambo, Jacob Oketch Okunguhttps://www.iiste.org/Journals/index.php/MTM/article/view/60383