{"title":"linear derivative operator with differential subordination of meromorphic ε -valent functions","authors":"T. Al-Khafaji","doi":"10.7176/mtm/9-2-03","DOIUrl":"https://doi.org/10.7176/mtm/9-2-03","url":null,"abstract":"The present paper is to investigate some inclusion relations between the linear derivative operator and differential subordination with other interesting properties for Keywords: Meromorphic functions , differential subordination, the linear derivative operator. DOI : 10.7176/MTM/9-2-03","PeriodicalId":394772,"journal":{"name":"Mathematical Theory and Modeling","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114546020","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":"A Study On (H, 1)(E, q) Product Summability Of Fourier Series And Its Conjugate Series","authors":"Sheela Verma","doi":"10.20431/2347-3142.0501003","DOIUrl":"https://doi.org/10.20431/2347-3142.0501003","url":null,"abstract":"In this paper, introduce the concept of (H,1) (E,q) product operators and establishes two new theorems on (H,1)(E,q) product Summability of Fourier series and its conjugate series. The results obtained in the paper further extend several known result on linear operators. Keyword: (E,q) Summability, (H,1) Summability, (H,1) (E,q) Summability","PeriodicalId":394772,"journal":{"name":"Mathematical Theory and Modeling","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131658248","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":"Modified Ratio Estimator of Finite Population Total in Stratified Random Sampling Under Non-Response","authors":"David Oyoo, Moses M. Manene, C. Ouma, G. Muhua","doi":"10.7176/mtm/9-7-08","DOIUrl":"https://doi.org/10.7176/mtm/9-7-08","url":null,"abstract":"In this paper, we propose a separate ratio-type estimator of finite population total. The procedure of subsampling non-respondents suggested by Hansen and Hurwitz (1946) is considered. Asymptotic properties of the proposed estimator are studied under stratified random sampling. Study of the asymptotic properties shows that the suggested estimator is unbiased and consistent. We recommend that simulation study should be done to check for performance of the estimator. KeyWords : Stratified Random Sampling, Ratio Estimation, Non-Response DOI : 10.7176/MTM/9-7-08 Publication date : July 31 st 2019","PeriodicalId":394772,"journal":{"name":"Mathematical Theory and Modeling","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129110469","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":"The Optimization of Maize yield Production Using Simplex Lattice Design for Third Degree Mixture Model","authors":"J. Cheruiyot, J. Koske, J. Mutiso","doi":"10.7176/mtm/9-7-07","DOIUrl":"https://doi.org/10.7176/mtm/9-7-07","url":null,"abstract":"This study involved mixture experiment for fertilizer components in maize crop production. Researchers in agriculture have conducted research on maize plants with different levels of single fertilizers with a view of obtaining an appropriate amount for optimal yield. However, studies based on fertilizer blending are not very common. This has left farmers with no option other than to continue applying fertilizer in random proportions that may not guarantee the optimal yield with respect to fertilizer components available. The objectives was to determine appropriate statistical models expressing the maize yield as response variable and to evaluate optimal sets of mixture of fertilizer components that could maximize the response variables of interest. Di-Ammonium Phosphate (DAP), Poultry manure (guano), Sheep manure, and Farmyard manure were the four independent variables to optimize the response value of the maize yield. Mixture experiments entail the blending of these components to determine if synergism exists in the mixture or blends of these fertilizer components. The statistical model formulated for the maize yield demonstrates the effects of each component and the interaction with other components displaying the trend of the response parameter. From the model, it can be concluded that farmyard manure and poultry manure have greater effect on the production of maize yield and hence, this study conclusively attained the optimal conditions of 6.67 tons ha -1 of farmyard manure mixed with 1.3467 tons ha -1 of poultry manure. Under these conditions, the farmer achieves maximum output of 12.17 tons ha -1 of maize yield. The study upholds that mixture experiments are appropriate in modeling agricultural production involving various independent parameters that produces synergetic effect on the output parameter. KEY WORDS: Maize yield; Fertilizer; Model; Mixture experiment; Simplex Lattice Design. DOI : 10.7176/MTM/9-7-07 Publication date : July 31 st 2019","PeriodicalId":394772,"journal":{"name":"Mathematical Theory and Modeling","volume":"135 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131946240","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":"Estimation of parameters in the Information Based Asset Pricing Framework","authors":"Cynthia Ikamari, P. Ngare, P. Weke","doi":"10.7176/mtm/9-5-08","DOIUrl":"https://doi.org/10.7176/mtm/9-5-08","url":null,"abstract":"Stochastic volatility models have become common in pricing options due to their ability to capture the changes in the asset's volatility with time. The information based asset pricing framework proposed by Brody, Hughson and Macrina referred to the BHM model or BHM approach is an improvement to the existing stochastic volatility models as it incorporates information in determining the option price dynamics. The objective of this study is to extend the application of a non-linear ltering approach used in volatility extraction in the Heston model to the BHM model. The measurement and transition equations obtained in the state space model are used in the extended kalman lter to extract volatility. The BHM model from a Black-Scholes perspective updated in the results of the Gaussian Integrals is referred to the BS-BHM Updated model. The option price is obtained using this model and the parameters which cannot be observed directly in the model are estimated using the method of moments. Keywords : BHM model, BS-BHM Updated model, method of moments, stochastic volatility. DOI : 10.7176/MTM/9-5-08 Publication date : May 31st 2019","PeriodicalId":394772,"journal":{"name":"Mathematical Theory and Modeling","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129922816","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}