Abstract In this paper we study nonstationary wavelets associated with vector valued nonuniform multiresolution analysis on local fields. By virtue of dimension function a complete characterization of vector valued nonuniform nonstationary wavelets is obtained.
{"title":"Vector valued nonuniform nonstationary wavelets and associated MRA on local fields","authors":"O. Ahmad, A. H. Wani, N. Sheikh, M. Ahmad","doi":"10.2478/jamsi-2021-0007","DOIUrl":"https://doi.org/10.2478/jamsi-2021-0007","url":null,"abstract":"Abstract In this paper we study nonstationary wavelets associated with vector valued nonuniform multiresolution analysis on local fields. By virtue of dimension function a complete characterization of vector valued nonuniform nonstationary wavelets is obtained.","PeriodicalId":43016,"journal":{"name":"Journal of Applied Mathematics Statistics and Informatics","volume":"17 1","pages":"19 - 46"},"PeriodicalIF":0.3,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42073635","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}
Abstract With this article in mind, we have found some results using eigenvalues of graph with sign. It is intriguing to note that these results help us to find the determinant of Normalized Laplacian matrix of signed graph and their coe cients of characteristic polynomial using the number of vertices. Also we found bounds for the lowest value of eigenvalue.
{"title":"Restructured class of estimators for population mean using an auxiliary variable under simple random sampling scheme","authors":"B. Prashanth, K. Naik, R. M","doi":"10.2478/jamsi-2021-0010","DOIUrl":"https://doi.org/10.2478/jamsi-2021-0010","url":null,"abstract":"Abstract With this article in mind, we have found some results using eigenvalues of graph with sign. It is intriguing to note that these results help us to find the determinant of Normalized Laplacian matrix of signed graph and their coe cients of characteristic polynomial using the number of vertices. Also we found bounds for the lowest value of eigenvalue.","PeriodicalId":43016,"journal":{"name":"Journal of Applied Mathematics Statistics and Informatics","volume":"17 1","pages":"75 - 90"},"PeriodicalIF":0.3,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45984468","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}
{"title":"Pathway Fractional Integral Operator on Some τ-extensions of Lauricella Functions of Several Variables","authors":"R. K. Bairwa, Ajay Mahaputra Kumar","doi":"10.22457/jmi.v21a02195","DOIUrl":"https://doi.org/10.22457/jmi.v21a02195","url":null,"abstract":"","PeriodicalId":43016,"journal":{"name":"Journal of Applied Mathematics Statistics and Informatics","volume":"72 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81570182","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}
Abstract This paper points out the possibility of suitable use of Caputo fractional derivative in regression model. Fitting historical data using a regression model seems to be useful in many fields, among other things, for the short-term prediction of further developments in the state variable. Therefore, it is important to fit the historical data as accurately as possible using the given variables. Using Caputo fractional derivative, this accuracy can be increased in the model described in this paper.
{"title":"Applying fractional calculus to analyze final consumption and gross investment influence on GDP","authors":"A. Badik, Michal Feckan","doi":"10.2478/jamsi-2021-0004","DOIUrl":"https://doi.org/10.2478/jamsi-2021-0004","url":null,"abstract":"Abstract This paper points out the possibility of suitable use of Caputo fractional derivative in regression model. Fitting historical data using a regression model seems to be useful in many fields, among other things, for the short-term prediction of further developments in the state variable. Therefore, it is important to fit the historical data as accurately as possible using the given variables. Using Caputo fractional derivative, this accuracy can be increased in the model described in this paper.","PeriodicalId":43016,"journal":{"name":"Journal of Applied Mathematics Statistics and Informatics","volume":"17 1","pages":"65 - 72"},"PeriodicalIF":0.3,"publicationDate":"2021-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45967938","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}
Abstract The main object of this paper is to study doubly stochastic matrices with majorization and the Birkhoff theorem. The Perron-Frobenius theorem on eigenvalues is generalized for doubly stochastic matrices. The region of all possible eigenvalues of n-by-n doubly stochastic matrix is the union of regular (n – 1) polygons into the complex plane. This statement is ensured by a famous conjecture known as the Perfect-Mirsky conjecture which is true for n = 1, 2, 3, 4 and untrue for n = 5. We show the extremal eigenvalues of the Perfect-Mirsky regions graphically for n = 1, 2, 3, 4 and identify corresponding doubly stochastic matrices. Bearing in mind the counterexample of Rivard-Mashreghi given in 2007, we introduce a more general counterexample to the conjecture for n = 5. Later, we discuss different types of positive maps relevant to Quantum Channels (QCs) and finally introduce a theorem to determine whether a QCs gives rise to a doubly stochastic matrix or not. This evidence is straightforward and uses the basic tools of matrix theory and functional analysis.
{"title":"Doubly stochastic matrices and the quantum channels","authors":"Haridas kumar Das, Md Kaisar Ahmed","doi":"10.2478/jamsi-2021-0005","DOIUrl":"https://doi.org/10.2478/jamsi-2021-0005","url":null,"abstract":"Abstract The main object of this paper is to study doubly stochastic matrices with majorization and the Birkhoff theorem. The Perron-Frobenius theorem on eigenvalues is generalized for doubly stochastic matrices. The region of all possible eigenvalues of n-by-n doubly stochastic matrix is the union of regular (n – 1) polygons into the complex plane. This statement is ensured by a famous conjecture known as the Perfect-Mirsky conjecture which is true for n = 1, 2, 3, 4 and untrue for n = 5. We show the extremal eigenvalues of the Perfect-Mirsky regions graphically for n = 1, 2, 3, 4 and identify corresponding doubly stochastic matrices. Bearing in mind the counterexample of Rivard-Mashreghi given in 2007, we introduce a more general counterexample to the conjecture for n = 5. Later, we discuss different types of positive maps relevant to Quantum Channels (QCs) and finally introduce a theorem to determine whether a QCs gives rise to a doubly stochastic matrix or not. This evidence is straightforward and uses the basic tools of matrix theory and functional analysis.","PeriodicalId":43016,"journal":{"name":"Journal of Applied Mathematics Statistics and Informatics","volume":"17 1","pages":"73 - 107"},"PeriodicalIF":0.3,"publicationDate":"2021-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43760347","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}
Abstract We obtained a new generalization of Lindley-Quasi Xgamma distribution by adding weight parameter to it through weighting technique and have shown the flexibility of proposed model. Expression for reliability measures, order statistics, Bonferroni curves & indices, Renyi entropy along with some other important properties are derived. Maximum likelihood estimation method is put to use for estimation of unknown parameters of proposed model. Simulation study for checking the performance of maximum likelihood estimates and for model comparison is carried out. Proposed model and its related models are fitted to real life data sets and goodness of fit measure Kolmogorov statistic & p-value, loss of information criteria’s AIC, BIC, AICC & HQIC are computed through R software to check the applicability of proposed model in real life. The significance of weight parameter is also tested by using likelihood ratio test for both randomly generated data as well as real life data.
{"title":"Generalized Lindley-Quasi Xgamma distribution","authors":"S. A. Wani, S. Shafi","doi":"10.2478/jamsi-2021-0001","DOIUrl":"https://doi.org/10.2478/jamsi-2021-0001","url":null,"abstract":"Abstract We obtained a new generalization of Lindley-Quasi Xgamma distribution by adding weight parameter to it through weighting technique and have shown the flexibility of proposed model. Expression for reliability measures, order statistics, Bonferroni curves & indices, Renyi entropy along with some other important properties are derived. Maximum likelihood estimation method is put to use for estimation of unknown parameters of proposed model. Simulation study for checking the performance of maximum likelihood estimates and for model comparison is carried out. Proposed model and its related models are fitted to real life data sets and goodness of fit measure Kolmogorov statistic & p-value, loss of information criteria’s AIC, BIC, AICC & HQIC are computed through R software to check the applicability of proposed model in real life. The significance of weight parameter is also tested by using likelihood ratio test for both randomly generated data as well as real life data.","PeriodicalId":43016,"journal":{"name":"Journal of Applied Mathematics Statistics and Informatics","volume":"17 1","pages":"5 - 30"},"PeriodicalIF":0.3,"publicationDate":"2021-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45013197","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}
Abstract In the present paper, we study and develop Fractional derivatives of multivariable A – function. We derive two theorems which will act as the key formulas from which can obtain their special cases.
{"title":"Some fractional derivatives of A-function of multivariable","authors":"R. Sharma, B. Tripathi, A. Dubey","doi":"10.2478/jamsi-2021-0002","DOIUrl":"https://doi.org/10.2478/jamsi-2021-0002","url":null,"abstract":"Abstract In the present paper, we study and develop Fractional derivatives of multivariable A – function. We derive two theorems which will act as the key formulas from which can obtain their special cases.","PeriodicalId":43016,"journal":{"name":"Journal of Applied Mathematics Statistics and Informatics","volume":"17 1","pages":"31 - 36"},"PeriodicalIF":0.3,"publicationDate":"2021-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45182127","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}
Abstract In this paper, authors establish a new identity for a differentiable function using generic integral operators. By applying it, some new integral inequalities of trapezium, Ostrowski and Simpson type are obtained. Moreover, several special cases have been studied in detail. Finally, many useful applications have been found.
{"title":"Some new inequalities for generalized convex functions pertaining generalized fractional integral operators and their applications","authors":"A. Kashuri, M. A. Ali, M. Abbas, M. Toseef","doi":"10.2478/jamsi-2021-0003","DOIUrl":"https://doi.org/10.2478/jamsi-2021-0003","url":null,"abstract":"Abstract In this paper, authors establish a new identity for a differentiable function using generic integral operators. By applying it, some new integral inequalities of trapezium, Ostrowski and Simpson type are obtained. Moreover, several special cases have been studied in detail. Finally, many useful applications have been found.","PeriodicalId":43016,"journal":{"name":"Journal of Applied Mathematics Statistics and Informatics","volume":"17 1","pages":"37 - 64"},"PeriodicalIF":0.3,"publicationDate":"2021-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47169778","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}
Masoud Komunte, Christian Kasumo, Verdiana Grace Masanja
In this paper, we propose and analyze the perturbed mathematical model for modeling the portfolio of insurance companies with possibilities of recovery after ruin. Return on investment and refinancing are used as approaches for overcoming ruin. The model is analyzed for different cases of possibilities of recovery after ruin within [0, 1]. The results indicate that the return on investment plays an important role in reducing the ultimate ruin and that as the possibility of recovery for insurance companies increases the return on investment reduces the ruin at a fast rate. Finally, the study recommends that all insurance companies should have well trained staff in risk management who can study the company’s portfolio and gives suggestions to managers on how to avoid or minimize ruin and how to recover in case ruin occurs.
{"title":"Insurance Companies Portfolio Optimization with Possibilities of Recovery after Ruin: A Case of Exponential Utility Function","authors":"Masoud Komunte, Christian Kasumo, Verdiana Grace Masanja","doi":"10.22457/jmi.v21a03196","DOIUrl":"https://doi.org/10.22457/jmi.v21a03196","url":null,"abstract":"In this paper, we propose and analyze the perturbed mathematical model for modeling the portfolio of insurance companies with possibilities of recovery after ruin. Return on investment and refinancing are used as approaches for overcoming ruin. The model is analyzed for different cases of possibilities of recovery after ruin within [0, 1]. The results indicate that the return on investment plays an important role in reducing the ultimate ruin and that as the possibility of recovery for insurance companies increases the return on investment reduces the ruin at a fast rate. Finally, the study recommends that all insurance companies should have well trained staff in risk management who can study the company’s portfolio and gives suggestions to managers on how to avoid or minimize ruin and how to recover in case ruin occurs.","PeriodicalId":43016,"journal":{"name":"Journal of Applied Mathematics Statistics and Informatics","volume":"2 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91369148","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}
Wolfugang Paul Venance, George Venance Lugomela, Verdiana Grace Masanja
Groundwater is an important resource that supports the life of people and the surrounding ecosystem in the world. It is the prima y source of safe water to semi-arid areas characterized by limited surface water. In Af rica, water scarcity has been hitting major cities and towns. In Tanzania, Dodoma has lon g experienced shortages of water. Owing to the recent transfer of all significant off ices from Dar es Salaam to Dodoma, the City's population has drastically increased. The pr ima y source of water in the City is the Makutupora aquifer. The growing human population ha s resulted in high demand for water use, which has led to the overexploitation of gr undwater aquifer. Therefore, this study was carried out using a Modular finite-differ ence flow model (MODFLOW) to model artificial recharge products to replenish gro undwater in the Makutupora aquifer to ensure water supply sustainability in the City. Bef or simulation of the artificial recharge was done, groundwater storage was estimated using a vailable borehole data and GIS technique. The results indicated that the total gro undwater storage in the Makutupora aquifer was about 24.8 BCM (Billion Cubic Meters). The MODFLOW packages used include well package (WEL), General Head Boundary P ackage (GHB), Evapotranspiration package (EVT), Drain package (DR N), and Recharge Package (RCH). A total of 21 piezometers were used for mode l calibration. The statistical calibration was also done to validate the model's c alibrated parameters. After simulation of the steady-state reference period, the other fou stress periods were simulated, considering the projected population and water dema nd. The planned injection wells to the model in the first, second, third, and fourth t ansient state periods resulted in a safe yield of 168,857 m/day, 197,760 m/day, 360,000 m/day, and 600,430 m /day, respectively. The recommended artificial recharge s ource is water from the Kinyasungwe River that flows during rainfall time, generally fr om November to May. One of the W. P. Venance, G. V. Lugomela and V. G. Masanja 2 recorded years (2007) indicated a flow of up to 23. 646 Million Cubic Meters (MCM). The recommended artificial recharge is possible due to the aquifer's storage capacity of 247.84 Million Cubic Meters (MCM). Other flows in s mall streams within the well field were recommended in creating artificial recharge st ructures to add more water to the aquifer and natural recharge. Therefore, informatio n fr m this study could be used by engineers when constructing artificial engineering structures to replenish the water pumped from the Makutupora aquifer.
地下水是世界上支持人类生活和周边生态系统的重要资源。它是地表水有限的半干旱地区安全用水的主要来源。在非洲，水资源短缺一直困扰着主要城镇。在坦桑尼亚，多多马长期缺水。由于最近将所有重要的工厂从达累斯萨拉姆迁往多多马，该市的人口急剧增加。该市的主要水源是马库图波拉含水层。随着人口的不断增长，对水资源的需求越来越大，这就导致了地下水的过度开采。因此，本研究采用模块化有限差分流模型(MODFLOW)对人工补给产品进行建模，以补充Makutupora含水层的地下水，以确保城市供水的可持续性。在进行人工补给模拟之前，利用现有钻孔资料和GIS技术对地下水储量进行了估算。结果表明:Makutupora含水层总地下储水量约为248亿立方米。使用的MODFLOW包包括井包(WEL)、通用水头边界P包(GHB)、蒸散发包(EVT)、排水包(DR N)和补给包(RCH)。总共使用了21个压电计进行模式1校准。并进行了统计校正以验证模型的c校正参数。在模拟了稳态参考期之后，考虑到预计的种群数量和水分损失，对另外四个应力期进行了模拟。在第1、第2、第3和第4个非稳态阶段，该模型计划注入井的安全产量分别为168,857米/天、197,760米/天、36万米/天和600,430米/天。建议的人工补给水源是在降雨期间(通常从11月到5月)流动的Kinyasungwe河。W. P. Venance, G. V. Lugomela和V. G. Masanja 2记录年份之一(2007年)表明流量高达23。6.46亿立方米。由于含水层的储水量为24784万立方米(MCM)，因此建议的人工补给是可能的。建议在井田内的其他溪流中建立人工补给设施，以向含水层添加更多的水和自然补给。因此，本研究的信息可以被工程师在建造人工工程结构以补充从Makutupora含水层抽水的水时使用。
{"title":"Hydrological Modeling of Artificial Recharge of Groundwater for Sustainable Water Supply in Dodoma City","authors":"Wolfugang Paul Venance, George Venance Lugomela, Verdiana Grace Masanja","doi":"10.22457/jmi.v21a01194","DOIUrl":"https://doi.org/10.22457/jmi.v21a01194","url":null,"abstract":"Groundwater is an important resource that supports the life of people and the surrounding ecosystem in the world. It is the prima y source of safe water to semi-arid areas characterized by limited surface water. In Af rica, water scarcity has been hitting major cities and towns. In Tanzania, Dodoma has lon g experienced shortages of water. Owing to the recent transfer of all significant off ices from Dar es Salaam to Dodoma, the City's population has drastically increased. The pr ima y source of water in the City is the Makutupora aquifer. The growing human population ha s resulted in high demand for water use, which has led to the overexploitation of gr undwater aquifer. Therefore, this study was carried out using a Modular finite-differ ence flow model (MODFLOW) to model artificial recharge products to replenish gro undwater in the Makutupora aquifer to ensure water supply sustainability in the City. Bef or simulation of the artificial recharge was done, groundwater storage was estimated using a vailable borehole data and GIS technique. The results indicated that the total gro undwater storage in the Makutupora aquifer was about 24.8 BCM (Billion Cubic Meters). The MODFLOW packages used include well package (WEL), General Head Boundary P ackage (GHB), Evapotranspiration package (EVT), Drain package (DR N), and Recharge Package (RCH). A total of 21 piezometers were used for mode l calibration. The statistical calibration was also done to validate the model's c alibrated parameters. After simulation of the steady-state reference period, the other fou stress periods were simulated, considering the projected population and water dema nd. The planned injection wells to the model in the first, second, third, and fourth t ansient state periods resulted in a safe yield of 168,857 m/day, 197,760 m/day, 360,000 m/day, and 600,430 m /day, respectively. The recommended artificial recharge s ource is water from the Kinyasungwe River that flows during rainfall time, generally fr om November to May. One of the W. P. Venance, G. V. Lugomela and V. G. Masanja 2 recorded years (2007) indicated a flow of up to 23. 646 Million Cubic Meters (MCM). The recommended artificial recharge is possible due to the aquifer's storage capacity of 247.84 Million Cubic Meters (MCM). Other flows in s mall streams within the well field were recommended in creating artificial recharge st ructures to add more water to the aquifer and natural recharge. Therefore, informatio n fr m this study could be used by engineers when constructing artificial engineering structures to replenish the water pumped from the Makutupora aquifer.","PeriodicalId":43016,"journal":{"name":"Journal of Applied Mathematics Statistics and Informatics","volume":"49 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83464569","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}
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