Mathematics and Statistics: Recent submissions

  • Semicontinuity, Semiconnected and Semicompactness in Bitopological Spaces 
    Arunmaran, M.; Kannan, K. (RGN Publications, 2022)
    Let τ1 and τ2 be two topologies(same or distinct) which are defined in a nonempty set X . Then, the triple (X,τ1,τ2) is called as a bitopological space. The objective of this paper is to establish some results which are ...
  • Ridge estimator in a mixed Poisson regression model 
    Tharshan, R.; Wijekoon, P. (Taylor & Francis Group, 2022)
    The generalized linear model approach of the mixed Poisson regression models (MPRM) is suitable for over-dispersed count data. The maximum likelihood estimator (MLE) is adopted to estimate their regression coeffi cients. ...
  • An effective technique for the conformable space-time fractional cubic-quartic nonlinear Schr¨odinger equation with different laws of nonlinearity 
    Mathanaranjan, T. (Computational Methods for Differential Equations, 2022)
    In the present study, we investigate the conformable space-time fractional cubic-quartic nonlinear Schr¨odinger equation with three different laws of nonlinearity namely, parabolic law, quadratic-cubic law, and weak ...
  • Squeezed states in the quaternionic setting 
    Thirulogasanthar, K.; Muraleetharan, B. (University of Jaffna, 2020)
    Using a left multiplication defined on a right quaternionic Hilbert space, we shall demonstrate that pure squeezed states, which are obtained by the sole action of the squeeze operator on the vacuum state, can be defined ...
  • Kato s-spectrum in the quaternionic setting 
    Thirulogasanthar, K.; Muraleetharan, B. (University of Jaffna, 2020)
    In a right quaternionic Hilbert space, for a bounded right lin ear operator, the Kato S-spectrum is introduced and studied to certain extent. In particular, it is shown that the Kato S-spectrum is a non empty compact subset ...
  • S-Spectrum and the quaternionic Cayley transform of an operator 
    Muraleetharan, B.; Sabadini, I.; Thirulogasanthar, K. (University of Jaffna, 2018)
    In this paper we define the quaternionic Cayley transformation of a densely defined, symmetric, quaternionic right linear operator and formulate a general theory of defect number in a right quaternionic Hilbert space. This ...
  • Fredholm operators and essential S-spectrum in the quaternionic setting 
    Muraleetharan, B.; Thirulogasanthar, K. (University of Jaffna, 2018)
    For bounded right linear operators, in a right quaternionic Hilbert space with a left multiplication defined on it, we study the approximate S-point spectrum. In the same Hilbert space, then we study the Fredholm operators ...
  • Berberian extension and its s-spectra in a quaternionic hilbert space 
    Muraleetharan, B.; Thirulogasanthar, K. (University of Jaffna, 2020)
    For a bounded right linear operators A, in a right quaternionic Hilbert space V R H , following the complex formalism, we study the Berbe rian extension A◦, which is an extension of A in a right quaternionic Hilbert space ...
  • Weyl and Browder S-spectra in a right quaternionic Hilbert space 
    Muraleetharan, B.; Thirulogasanthar, K. (University of Jaffna, 2019)
    In this note first we study the Weyl operators and Weyl S-spectrum of a bounded right quaternionic linear operator, in the setting of the so-called S-spectrum, in a right quater nionic Hilbert space. In particular, we give ...
  • Optimal stochastic restricted logistic estimator 
    Varathan, N.; Wijekoon, P. (University of Jaffna, 2019)
    It is well known that the use of prior information in the logistic regression improves the estimates of regression coefficients when multicollinearity presents. This prior information may be in the form of exact or stochastic ...
  • Logistic Liu Estimator under stochastic linear restrictions 
    Varathan, N.; Wijekoon, P. (University of Jaffna, 2019)
    In order to overcome the problem of multicollinearity in logistic regres sion, several researchers proposed alternative estimators when exact linear restrictions are available in addition to sample model. However, in ...
  • Optimal generalized logistic estimator 
    Varathan, N.; Wijekoon, P. (University of Jaffna, 2018)
    In this paper, we propose a new efficient estimator namely Optimal Generalized Logistic Estimator (OGLE) for estimating the parameter in a logistic regression model when there exists multicollinearity among explanatory ...
  • Modified almost unbiased Liu estimator in logistic regression 
    Varathan, N. (University of Jaffna, 2019)
    This paper focuses on introducing a new parameter estimator to the logistic regression model when the multicollinearity presents. The proposed estimator called Modified almost unbiased logistic Liu esti mator (MAULLE) is ...
  • On the convergence of the accelerated riccati iteration method 
    Rajasingam, P.; Xu, J. (University of Jaffna, 2020)
    In this paper, we establish results fully addressing two open problems proposed recently by I. Ivanov, see Nonlinear Analysis 69 (2008) 4012–4024, with respect to the convergence of the accelerated Riccati itera tion ...
  • A comparison study on a new five-parameter generalized lindley distribution with its sub-models 
    Tharshan, R.; Wijekoon, P. (University of Jaffna, 2020)
    In recent years, modifications of the classical Lindley distribution have been considered by many authors. In this paper, we introduce a new generalization of the Lindley distribution based on a mixture of exponential and ...
  • A markov model for investigating the stock market volume behavior 
    Tharshan, R.; Arivalzahan, S. (JSc EUSL (2018) Vol. 9 No. 2, p 20-38, 2018)
    In recent decades, the stock market prediction has become a high research area due to its immense importance not only for every profitable industry, but also for shareholders and investors to hug out a self-assured ...
  • A Markov model for ranking cricket teams playing one day international matches 
    Anuthrika, T.; Arivalzahan, S.; Tharshan, R. (Vingnanam Journal of Science, 2019)
    Main purpose of ranking teams in One Day International (ODI) Cricket matches is to identify challenging teams of each team. In the sports science literature, various statistical procedures have been proposed by different ...
  • Dual P-Values, Evidential Tension and Balanced Tests 
    Poskitt, D.S.; Arivalzahan, S. (MONASH University, 2010)
    In the classical approach to statistical hypothesis testing the role of the null hypothesis H0 and the alternative H1 is very asymmetric. Power, calculated from the distribution of the test statistic under H1 , is treated ...
  • Description length and dimensionality reduction in functional data analysis 
    Poskitt, D.S.; Arivalzahan, S. (Elsevier, 2011)
    The use of description length principles to select an appropriate number of basis functions for functional data is investigated. A flexible definition of the dimension of a random function that is constructed directly from ...
  • Some results on fuzzy metric space and some examples of fuzzy b-metric space 
    Kajan, N.; Kannan, K. (Union of researchers of Macedonia, 2020)
    ABSTRACT. The problem of constructing a satisfactory theory of fuzzy metric spaces has been investigated by several researchers from different point of view. The concept of fuzzy sets was introduced by Zadeh. Following ...