. In this paper, a new shrinkage estimator of entropy function for mean of an exponential distribution is proposed. A progressive type censored sample is taken to obtain the estimator. For the new estimator, risk functions and relative risk functions are developed under symmetric and asymmetric loss functions, viz. squared error loss function and LINEX loss function, and new estimator is shown to have better performance than a classical estimator in terms of relative risk
{"title":"New Shrinkage Entropy Estimator for Mean of Exponential Distribution under Different Loss Functions","authors":"Priyanka Sahni, Raj Kumar","doi":"10.26713/cma.v14i1.1912","DOIUrl":"https://doi.org/10.26713/cma.v14i1.1912","url":null,"abstract":". In this paper, a new shrinkage estimator of entropy function for mean of an exponential distribution is proposed. A progressive type censored sample is taken to obtain the estimator. For the new estimator, risk functions and relative risk functions are developed under symmetric and asymmetric loss functions, viz. squared error loss function and LINEX loss function, and new estimator is shown to have better performance than a classical estimator in terms of relative risk","PeriodicalId":43490,"journal":{"name":"Communications in Mathematics and Applications","volume":"IM-30 3","pages":""},"PeriodicalIF":0.2,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72616445","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":"Gegenbauer Series for Numerical Solution of Fredholm Integral Equations of the Second Kind","authors":"Dilmi Mustapha","doi":"10.26713/cma.v14i1.2003","DOIUrl":"https://doi.org/10.26713/cma.v14i1.2003","url":null,"abstract":"","PeriodicalId":43490,"journal":{"name":"Communications in Mathematics and Applications","volume":"62 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84541699","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}
. The aim of this article is to apply the concept of arrow domination defined by Radhi et al . (The arrow domination in graphs, International Journal of Nonlinear Analysis and Applications 12 (1) (2021), 473 – 480) on some generalized graphs like Friendship graph or Fan graph, Gear graph, Helm graph
{"title":"The Arrow Domination of Some Generalized Graphs","authors":"Dipshi ., S. Mehra","doi":"10.26713/cma.v14i1.1969","DOIUrl":"https://doi.org/10.26713/cma.v14i1.1969","url":null,"abstract":". The aim of this article is to apply the concept of arrow domination defined by Radhi et al . (The arrow domination in graphs, International Journal of Nonlinear Analysis and Applications 12 (1) (2021), 473 – 480) on some generalized graphs like Friendship graph or Fan graph, Gear graph, Helm graph","PeriodicalId":43490,"journal":{"name":"Communications in Mathematics and Applications","volume":"10 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72734400","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":"Certain Results on ((k,mu))-Contact Metric Manifold endowed with Concircular Curvature Tensor","authors":"R. Kumar, P. Reddy, Venkatesha ., M. Sangeetha","doi":"10.26713/cma.v14i1.1921","DOIUrl":"https://doi.org/10.26713/cma.v14i1.1921","url":null,"abstract":"","PeriodicalId":43490,"journal":{"name":"Communications in Mathematics and Applications","volume":"110 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80550925","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}
. The purpose of this paper is to generate two common fixed point (CFP) theorems using subcompatible and reciprocally continuous and subsequentially continuous and compatible on partial metric
。本文的目的是利用部分度量上的次相容互连续和次连续相容，得到两个公共不动点定理
{"title":"Common Fixed Point Theorems Using Subcompatible and Subsequentially Continuous Mappings on Partial Metric Spaces","authors":"S. Ravi, B. Mallesh, V. Srinivas","doi":"10.26713/cma.v14i1.1825","DOIUrl":"https://doi.org/10.26713/cma.v14i1.1825","url":null,"abstract":". The purpose of this paper is to generate two common fixed point (CFP) theorems using subcompatible and reciprocally continuous and subsequentially continuous and compatible on partial metric","PeriodicalId":43490,"journal":{"name":"Communications in Mathematics and Applications","volume":"16 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86264948","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}
. In this paper, we will introduce some identities involving sums of the finite products of Chebyshev polynomials of the third and fourth kinds, Fibonacci, and Lucas numbers in terms of the derivatives of Pell, Fibonacci, Jacobi, Gegenbauer, Vieta-Fibonacci, Vieta-Pell, and second-kind Chebyshev polynomials.
{"title":"Some Identities on Sums of Finite Products of Chebyshev Polynomials of the Third and Fourth Kinds","authors":"J. Kishore, V. Verma, A. Sharma","doi":"10.26713/cma.v14i1.2079","DOIUrl":"https://doi.org/10.26713/cma.v14i1.2079","url":null,"abstract":". In this paper, we will introduce some identities involving sums of the finite products of Chebyshev polynomials of the third and fourth kinds, Fibonacci, and Lucas numbers in terms of the derivatives of Pell, Fibonacci, Jacobi, Gegenbauer, Vieta-Fibonacci, Vieta-Pell, and second-kind Chebyshev polynomials.","PeriodicalId":43490,"journal":{"name":"Communications in Mathematics and Applications","volume":"1 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88410348","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}
. In this paper, we study the correspondence between graphs and Alexandroff spaces. It is shown that a topological space X is Alexandroff if and only if X is a graph equipped with the X -right topology.
{"title":"The Correspondence Between Graphs and Alexandroff Spaces","authors":"B. Harbi","doi":"10.26713/cma.v14i1.2128","DOIUrl":"https://doi.org/10.26713/cma.v14i1.2128","url":null,"abstract":". In this paper, we study the correspondence between graphs and Alexandroff spaces. It is shown that a topological space X is Alexandroff if and only if X is a graph equipped with the X -right topology.","PeriodicalId":43490,"journal":{"name":"Communications in Mathematics and Applications","volume":"64 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77930640","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":"Symmetric Division Degree Invariants of Join Total and Mid Graphs","authors":"P. Murugarajan","doi":"10.26713/cma.v14i1.1812","DOIUrl":"https://doi.org/10.26713/cma.v14i1.1812","url":null,"abstract":"","PeriodicalId":43490,"journal":{"name":"Communications in Mathematics and Applications","volume":"57 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77186233","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":"On the Measure of Quantum Correlations","authors":"W. Majewski","doi":"10.26713/cma.v14i1.1829","DOIUrl":"https://doi.org/10.26713/cma.v14i1.1829","url":null,"abstract":"","PeriodicalId":43490,"journal":{"name":"Communications in Mathematics and Applications","volume":"252 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73352194","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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