Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research
2251-7952
2645-4505
11
1
2022
01
01
Statistical inference for the non-conforming rate of FGM Copula-Based bivariate exponential lifetime
1
27
EN
Zainab
Abbasi Ganji
0000-0003-1939-0080
Khorasan Razavi Agricultural and Natural Resources Research and Education Center, AREEO, Mashhad, Iran
abbasiganji@mail.um.ac.ir
Bahram
Sadeghpour Gildeh
0000-0003-0863-676X
Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran
sadeghpour@um.ac.ir
Mohammad
Amini
0000-0002-8336-201X
Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran
m-amini@um.ac.ir
Afshin
Babaei
0000-0002-6980-9786
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
babaei@umz.ac.ir
10.22103/jmmrc.2021.17947.1156
Lifetime 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.
Lifetime performance index,Farlie-Gumbel-Morgenstern copula,Non-conforming rate,Bootstrap upper confidence bound,Monte Carlo procedure
https://jmmrc.uk.ac.ir/article_3047.html
https://jmmrc.uk.ac.ir/article_3047_938d5f2cf8000fd6734809b43b248557.pdf
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research
2251-7952
2645-4505
11
1
2022
01
01
Dynamical model for COVID-19 in a population
29
38
EN
Neda
Ebrahimi
0000-0002-1713-8212
Department of Pure Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran.
n_ebrahimi@uk.ac.ir
Tayebeh
Waezizadeh
0000-0003-4382-2162
Department of Pure Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran.
waezizadeh@uk.ac.ir
10.22103/jmmrc.2021.17563.1146
In 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.
Dynamical model,Asymptotically stability,The basic reproduction number
https://jmmrc.uk.ac.ir/article_3083.html
https://jmmrc.uk.ac.ir/article_3083_b3c52afb0677a1bb3cd9a29d4dae0bd2.pdf
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research
2251-7952
2645-4505
11
1
2022
01
01
Some connections between various subclasses of univalent functions involving Pascal distribution series
39
46
EN
Rohollah
Valizadeh
0000-0003-1327-2745
Department of Mathematics, University of Maragheh, Maragheh, Iran
alirezas6611@gmail.com
Shahram
Najafzadeh
0000-0002-8124-8344
Department of Mathematics, Payame Noor University, Tehran, Iran
najafzadeh1234@yahoo.ie
Asghar
Rahimi
0000-0003-2095-6811
Department of Mathematics, University of Maragheh, Maragheh, Iran
asgharrahimi@yahoo.com
Bayaz
Daraby
0000-0001-6872-8661
Department of Mathematics, University of Maragheh, Maragheh, Iran
bdaraby@maragheh.ac.ir
10.22103/jmmrc.2021.17574.1149
The 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 properties
Univalent function,Pascal distribution,Subordination. coefficient estimate,Integral representation
https://jmmrc.uk.ac.ir/article_3077.html
https://jmmrc.uk.ac.ir/article_3077_d4dd1b2e278331368e7acb924ed03d83.pdf
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research
2251-7952
2645-4505
11
1
2022
01
01
Minimax risk strategy for testing capability
47
59
EN
Abbas
Parchami
0000-0002-0593-7324
Department of Statistics, Shahid Bahonar University of Kerman, Kerman, Iran
parchami@uk.ac.ir
Bahram
Sadeghpour Gildeh
0000-0003-0863-676X
Department of Statistics, Factually of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran
sadeghpour@um.ac.ir
10.22103/jmmrc.2021.18262.1171
Process 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.
Testing hypothesis,Process capability index,Precision index,Minimax procedure,Loss function
https://jmmrc.uk.ac.ir/article_3091.html
https://jmmrc.uk.ac.ir/article_3091_c46b7b8b3f403fe02e8d86ef75d574f4.pdf
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research
2251-7952
2645-4505
11
1
2022
01
01
A note on product topologies in locally convex cones
61
67
EN
Mohammad Reza
Motallebi
0000-0002-1761-0601
University of Mohaghegh Ardabili, Ardabil, Iran.
mr.motallebi@yahoo.com
10.22103/jmmrc.2021.18239.1170
We 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.
Products cone topologies,weak cone-completeness,barreledness
https://jmmrc.uk.ac.ir/article_3099.html
https://jmmrc.uk.ac.ir/article_3099_d567e782b799e3603b5085cc8abe30b3.pdf
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research
2251-7952
2645-4505
11
1
2022
01
01
An algorithm for constructing integral row stochastic matrices
69
77
EN
Asma
Ilkhanizadeh Manesh
0000-0003-4879-9600
Department of Mathematics
Vali-e-Asr University of Rafsanjan
P.O. Box: 7713936417, Rafsanjan, Iran
a.ilkhani@vru.ac.ir
10.22103/jmmrc.2021.13883.1089
Let $\textbf{M}_{n}$ 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.
Eigenvalue,Majorization,Integral row stochastic
https://jmmrc.uk.ac.ir/article_3100.html
https://jmmrc.uk.ac.ir/article_3100_5f1a6c763db107dacb0cb07f8391a340.pdf
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research
2251-7952
2645-4505
11
1
2022
01
01
Test of fit for Cauchy distribution based on the empirical likelihood ratio with application to the stock market price
79
94
EN
Hadi
Alizadeh Noughabi
0000-0002-7515-1896
Department of Statistics, University of Birjand, Birjand, Iran
alizadehhadi@birjand.ac.ir
10.22103/jmmrc.2021.17747.1152
Recently, 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.
Cauchy distribution,Empirical likelihood ratio,Goodness-of-fit test,Test power,Monte Carlo simulation
https://jmmrc.uk.ac.ir/article_3109.html
https://jmmrc.uk.ac.ir/article_3109_d1fcae11d76770b9699ba1b80f062861.pdf
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research
2251-7952
2645-4505
11
1
2022
01
01
Spirallikeness properties on Salagean-type harmonic univalent functions
95
106
EN
Ebrahim
Amini
0000-0001-7100-1199
Department of Mathematics, Payme Noor University, P. O. Box 19395-4697 Tehran, IRAN.
eb.amini.s@pnu.ac.ir
10.22103/jmmrc.2021.17169.1133
Abstract. 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.
"Spirallike functions", "Convolution", "Coefficient bound","differential operator", "˜ ⊛-convolution consistence"
https://jmmrc.uk.ac.ir/article_3112.html
https://jmmrc.uk.ac.ir/article_3112_8998b4044ac88a16c9f50d1b445a2a27.pdf
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research
2251-7952
2645-4505
11
1
2022
01
01
On the existence and uniquness theorem of the global solutions for UFDES
107
119
EN
Samira
Siya Mansouri
0000-0003-1750-6393
University of applied sciences and technology of centre Mahan Hedayat, Iran
samira.mansouri91@yahoo.com
Elham
Pazoki
0000-0002-6041-5131
Department of mathematics, Qazvin branch, Islamic Azad University, Qazvin, Iran.
lhmpazoki8@gmail.com
Samaneh
Neyshabouri
0000-0003-1515-0653
Department of mathematics, Qazvin branch, Islamic Azad University, Qazvin, Iran.
ostad.math@gmail.com
10.22103/jmmrc.2021.17508.1142
The 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 $[t_{0},\infty ]$.
Uncertain Functional differential equation,Canonical process,Uncertainty space
https://jmmrc.uk.ac.ir/article_3119.html
https://jmmrc.uk.ac.ir/article_3119_703befced14582f596ad3536fa0923dd.pdf
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research
2251-7952
2645-4505
11
1
2022
01
01
Neutrosophic $\mathcal{N}-$structures on Sheffer stroke BE-algebras
121
143
EN
Tahsin
Oner
0000-0002-6514-4027
Department of Mathematics, Ege University, Izmir, Turkey
tahsin.oner@gmail.com
Tugce
Katican
0000-0003-1186-6750
Department of Mathematics, Izmir University of Economics, Izmir, Turkey
tugce.katican@izmirekonomi.edu.tr
Salviya
Svanidze
0000-0002-5278-1086
Department of Mathematics, Ege University, Izmir, Turkey
selviye.svanidze@gmail.com
Akbar
Rezaei
0000-0002-6003-3993
Department of Mathematics,
Payame Noor University,
Tehran, Iran
rezaei@pnu.ac.ir
10.22103/jmmrc.2021.18565.1176
In 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.
SBE-algebra,(implicative) SBE-filter,neutrosophic N− subalgebra,(implicative) neutrosophic N−filter
https://jmmrc.uk.ac.ir/article_3122.html
https://jmmrc.uk.ac.ir/article_3122_65be36521efc8627d6bfb4c6df494a9f.pdf
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research
2251-7952
2645-4505
11
1
2022
01
01
On enumeration of $EL$-hyperstructures with $2$ elements
145
158
EN
Saeed
Mirvakili
0000-0002-9474-0709
Department of Mathematics, Payame Noor University, Tehran, Iran
saeed_mirvakili@yahoo.com
Sayed Hossein
Ghazavi
0000-0003-3194-3485
Department of Mathematics, University of Shahid Ashrafi Esfahani, P.O.Box 81798-49999, Esfahan, Iran
s.h.ghazavi@ashrafi.ac.ir
10.22103/jmmrc.2021.18452.1173
$EL$-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 $2$.
Ends lemma,$EL$-hypergroups,$H_v$-group,quasi order relation,partially order relation
https://jmmrc.uk.ac.ir/article_3123.html
https://jmmrc.uk.ac.ir/article_3123_0f00fe2064ba67b75cc6a1eef8769574.pdf
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research
2251-7952
2645-4505
11
1
2022
01
01
Strictly sub row Hadamard majorization
159
168
EN
Abbas
Askarizadeh
0000-0001-6663-0548
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran
a.askari@vru.ac.ir
10.22103/jmmrc.2021.18576.1177
Let $\textbf{M}_{m,n}$ 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.
Linear preserver,Strong linear preserver,Strictly sub row stochastic matrices
https://jmmrc.uk.ac.ir/article_3147.html
https://jmmrc.uk.ac.ir/article_3147_7669b32a3aa572846155f8686997c8a2.pdf