Shahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-795211120220101Statistical inference for the non-conforming rate of FGM Copula-Based bivariate exponential lifetime127304710.22103/jmmrc.2021.17947.1156ENZainabAbbasi GanjiKhorasan Razavi Agricultural and Natural Resources Research and Education Center, AREEO, Mashhad, Iran0000-0003-1939-0080BahramSadeghpour GildehDepartment of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran0000-0003-0863-676XMohammadAminiDepartment of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran0000-0002-8336-201XAfshinBabaeiDepartment of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran0000-0002-6980-9786Journal Article20210722Lifetime performance index is widely used as process capability index to evaluate the performance and potential of a process. In manufacturing industries, the lifetime of a product is considered to be conforming if it exceeds a given lower threshold value, so nonconforming products are those that fail to exceed this value. Nonconformities are so important that affect the safe or effective use of the products. This article deals with the processes that the products' lifetime is related to a two-component system, distributed as Farlie-Gumbel-Morgenstern (FGM) copula-based bivariate exponential and presents the probability of non-conforming products. Also, bootstrap upper confidence bounds are constructed and their performance are investigated in simulation study. In addition, Monte Carlo scheme is applied to do hypothesis testing on it. Finally, two example sets are presented to demonstrate the application of the proposed index.https://jmmrc.uk.ac.ir/article_3047_938d5f2cf8000fd6734809b43b248557.pdfShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-795211120220101Dynamical model for COVID-19 in a population2938308310.22103/jmmrc.2021.17563.1146ENNedaEbrahimiDepartment of Pure Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran.0000-0002-1713-8212TayebehWaezizadehDepartment of Pure Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran.0000-0003-4382-2162Journal Article20210510In this paper a new mathematical model for COVID-19, including Improved people who are susceptible to get infected again, is given. And it is used to investigate the transmission dynamics of the corona virus disease (COVID-19). Our developed model consists of five compartments, namely the susceptible class, $S(t)$, the exposed class, $E(t)$, the infected class, $I(t)$, the quarantine class, $Q(t)$ and the recover class, $R(t)$. The basic reproduction number is computed and the stability conditions of the model at the disease free equilibrium point are obtained. Finally, We present numerical simulations based on the available real data for Kerman province in Iran.https://jmmrc.uk.ac.ir/article_3083_b3c52afb0677a1bb3cd9a29d4dae0bd2.pdfShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-795211120220101Some connections between various subclasses of univalent functions involving Pascal distribution series3946307710.22103/jmmrc.2021.17574.1149ENRohollahValizadehDepartment of Mathematics, University of Maragheh, Maragheh, Iran0000-0003-1327-2745ShahramNajafzadehDepartment of Mathematics, Payame Noor University, Tehran, Iran0000-0002-8124-8344AsgharRahimiDepartment of Mathematics, University of Maragheh, Maragheh, Iran0000-0003-2095-6811BayazDarabyDepartment of Mathematics, University of Maragheh, Maragheh, Iran0000-0001-6872-8661Journal Article20210512The main object of this paper is to define a new class of univalent functions and two subclasses of this class along with the Pascal distribution associated with convolution and subordination structures. We obtained a number of useful properties such as, coefficient bound, convolution preserving and some other geometric propertieshttps://jmmrc.uk.ac.ir/article_3077_d4dd1b2e278331368e7acb924ed03d83.pdfShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-795211120220101Minimax risk strategy for testing capability4759309110.22103/jmmrc.2021.18262.1171ENAbbasParchamiDepartment of Statistics, Shahid Bahonar University of Kerman, Kerman, Iran0000-0002-0593-7324BahramSadeghpour GildehDepartment of Statistics, Factually of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran0000-0003-0863-676XJournal Article20210923Process capability indices are used widely throughout the world to give a quick indication of a process capability in a format that is easy to use and understand. A process capability index $C_p$ that constructed for measuring the quality is an effective tool for assessing process capability, since this index can reflect whether a centering process is capable of reproducing items meeting the specifications limits. The minimax approach is proposed in this paper for testing capability on the basis of precision index Cp when the producer goal is avoiding the largest possible risk. Motivations and benefits of proposing minimax approach are discussed for capability test. Also, the proposed method clarified by an industrial application.https://jmmrc.uk.ac.ir/article_3091_c46b7b8b3f403fe02e8d86ef75d574f4.pdfShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-795211120220101A note on product topologies in locally convex cones6167309910.22103/jmmrc.2021.18239.1170ENMohammad RezaMotallebiUniversity of Mohaghegh Ardabili, Ardabil, Iran.0000-0002-1761-0601Journal Article20210916We consider the locally convex product cone topologies and prove that the product topology<br />of weakly cone-complete locally convex cones is weakly cone-complete. In particular, we deduce that a product cone topology is barreled whenever its components are weakly<br />cone-complete and carry the countable neighborhood bases.https://jmmrc.uk.ac.ir/article_3099_d567e782b799e3603b5085cc8abe30b3.pdfShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-795211120220101An algorithm for constructing integral row stochastic matrices6977310010.22103/jmmrc.2021.13883.1089ENAsmaIlkhanizadeh ManeshDepartment of Mathematics
Vali-e-Asr University of Rafsanjan
P.O. Box: 7713936417, Rafsanjan, Iran0000-0003-4879-9600Journal Article20190421Let $\textbf{M}_{n}$ be the set of all $n$-by-$n$ real matrices, and let $\mathbb{R}^{n}$ be the set of all $n$-by-$1$ real (column) vectors. An $n$-by-$n$ matrix $R=[r_{ij}]$ with nonnegative entries is called row stochastic, if $\sum_{k=1}^{n} r_{ik}$ is equal to 1 for all $i$, $(1\leq i \leq n)$. In fact, $Re=e$, where $e=(1,\ldots,1)^t\in \mathbb{R}^n$. A matrix $R\in \textbf{M}_{n}$ is called integral row stochastic, if each row has exactly one nonzero entry, $+1$, and other entries are zero. In the present paper, we provide an algorithm for constructing integral row stochastic matrices, and also we show the relationship between this algorithm and majorization theory.https://jmmrc.uk.ac.ir/article_3100_5f1a6c763db107dacb0cb07f8391a340.pdfShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-795211120220101Test of fit for Cauchy distribution based on the empirical likelihood ratio with application to the stock market price7994310910.22103/jmmrc.2021.17747.1152ENHadiAlizadeh NoughabiDepartment of Statistics, University of Birjand, Birjand, Iran0000-0002-7515-1896Journal Article20210616Recently, it has been shown that the density based empirical likelihood concept extends and standardizes these methods, presenting a powerful approach for approximating optimal parametric likelihood ratio test statistics. In this article, we propose a density based empirical likelihood goodness of fit test for the Cauchy distribution. The properties of the test statistic are stated and the critical points are obtained. Power comparisons of the proposed test with some known competing tests are carried out via simulations. Our study shows that the proposed test is superior to the competitors in most of the considered cases and can confidently apply in practice. Finally, a financial data set is presented and analyzed.https://jmmrc.uk.ac.ir/article_3109_d1fcae11d76770b9699ba1b80f062861.pdfShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-795211120220101Spirallikeness properties on Salagean-type harmonic univalent functions95106311210.22103/jmmrc.2021.17169.1133ENEbrahimAminiDepartment of Mathematics, Payme Noor University, P. O. Box 19395-4697 Tehran, IRAN.0000-0001-7100-1199Journal Article20210212Abstract. In this paper, we define and investigate a new class of spirallike harmonic functions defined by a Salagean differential operator and we obtain a coefficient inequality for the functions in this class. Following, we investigated convolution and obtain the order of convolution consistence for certain spirallike harmonic univalent functions with negative coefficients.https://jmmrc.uk.ac.ir/article_3112_8998b4044ac88a16c9f50d1b445a2a27.pdfShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-795211120220101On the existence and uniquness theorem of the global solutions for UFDES107119311910.22103/jmmrc.2021.17508.1142ENSamiraSiya MansouriUniversity of applied sciences and technology of centre Mahan Hedayat, Iran0000-0003-1750-6393ElhamPazokiDepartment of mathematics, Qazvin branch, Islamic Azad University, Qazvin, Iran.0000-0002-6041-5131SamanehNeyshabouriDepartment of mathematics, Qazvin branch, Islamic Azad University, Qazvin, Iran.0000-0003-1515-0653Journal Article20210501The uncertain functional differential equation (UFDE) is a type of functional differential equations driven by a canonical uncertain process. Uncertain functional differential equation with infinite delay (IUFDE) have been widely applied in sciences and technology. In this paper, we prove an existence and uniqueness theorem for IUFDE intheinterval $[t_{0},T]$, underuniform Lipschitz condition and weak condition. Also, the novel existence and uniqueness theorem under the linear growth condition and the local Lipschitz condition is proven. In the following, a more general type of UFDE considers, which the future state is determined by entire of the past states rather than some of them. Finally, the existence and uniqueness theorem is considered on theinterval $[t_{0},\infty ]$.https://jmmrc.uk.ac.ir/article_3119_703befced14582f596ad3536fa0923dd.pdfShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-795211120220101Neutrosophic $\mathcal{N}-$structures on Sheffer stroke BE-algebras121143312210.22103/jmmrc.2021.18565.1176ENTahsinOnerDepartment of Mathematics, Ege University, Izmir, Turkey0000-0002-6514-4027TugceKaticanDepartment of Mathematics, Izmir University of Economics, Izmir, Turkey0000-0003-1186-6750SalviyaSvanidzeDepartment of Mathematics, Ege University, Izmir, Turkey0000-0002-5278-1086AkbarRezaeiDepartment of Mathematics,
Payame Noor University,
Tehran, Iran0000-0002-6003-3993Journal Article20211124In this study, a neutrosophic $\mathcal{N}-$subalgebra, a (implicative) neutrosophic $\mathcal{N}-$ filter, level sets of these neutrosophic $\mathcal{N}-$structures and their properties are introduced on a Sheffer stroke BE-algebras (briefly, SBE-algebras). It is proved that the level set of neutrosophic $\mathcal{N}-$ subalgebras ((implicative) neutrosophic $\mathcal{N}-$filter) of this algebra is the SBE-subalgebra ((implicative) SBE-filter) and vice versa. Then we present relationships between upper sets and neutrosophic $\mathcal{N}-$filters of this algebra. Also, it is given that every neutrosophic $\mathcal{N}-$filter of a SBE-algebra is its neutrosophic $\mathcal{N}-$subalgebra but the inverse is generally not true. We study on neutrosophic $\mathcal{N}-$filters of SBE-algebras by means of SBE-homomorphisms, and present relationships between mentioned structures on a SBE-algebra in detail. Finally, certain subsets of a SBE-algebra are determined by means of $\mathcal{N}-$functions and some properties are examined.https://jmmrc.uk.ac.ir/article_3122_65be36521efc8627d6bfb4c6df494a9f.pdfShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-795211120220101On enumeration of $EL$-hyperstructures with $2$ elements145158312310.22103/jmmrc.2021.18452.1173ENSaeedMirvakiliDepartment of Mathematics, Payame Noor University, Tehran, Iran0000-0002-9474-0709Sayed HosseinGhazaviDepartment of Mathematics, University of Shahid Ashrafi Esfahani, P.O.Box 81798-49999, Esfahan, Iran0000-0003-3194-3485Journal Article20211101$EL$-hypergroups were defined by Chvalina 1995. Till now, no exact statistics of $EL$-hypergroups have been done. Moreover, there is no classification of $EL$-hypergroups and $EL^2$-hypergroups even over small sets. In this paper we classify all $EL$-(semi)hypergroups over sets with two elements obtained from quasi ordered semigroups. Also, we characterize all quasi ordered $H_v$-group and then we enumerate the number of $EL^2$-$H_v$-hypergroups and $EL^2$-hypergroups of order $2$.https://jmmrc.uk.ac.ir/article_3123_0f00fe2064ba67b75cc6a1eef8769574.pdfShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-795211120220101Strictly sub row Hadamard majorization159168314710.22103/jmmrc.2021.18576.1177ENAbbasAskarizadehDepartment of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran0000-0001-6663-0548Journal Article20211126Let $\textbf{M}_{m,n}$ be the set of all $m$-by-$n$ real matrices. A matrix $R$ in $\textbf{M}_{m,n}$ with nonnegative entries is called strictly sub row stochastic if the sum of entries on every row of $R$ is less than 1. For $A,B\in\textbf{M}_{m,n}$, we say that $A$ is strictly sub row Hadamard majorized by $B$ (denoted by $A\prec_{SH}B)$ if there exists an $m$-by-$n$ strictly sub row stochastic matrix $R$ such that $A=R\circ B$ where $X \circ Y$ is the Hadamard product (entrywise product) of matrices $X,Y\in\textbf{M}_{m,n}$. In this paper, we introduce the concept of strictly sub row Hadamard majorization as a relation on $\textbf{M}_{m,n}$. Also, we find the structure of all linear operators $T:\textbf{M}_{m,n} \rightarrow \textbf{M}_{m,n}$ which are preservers (resp. strong preservers) of strictly sub row Hadamard majorization.https://jmmrc.uk.ac.ir/article_3147_7669b32a3aa572846155f8686997c8a2.pdf