Registered Data

[CT085]

  • Session Time & Room
    • CT085 (1/1) : 3E @E504 [Chair: Manish Kumar]
  • Classification
    • CT085 (1/1) : Theory of data (68P) / Low-dimensional topology in specific dimensions (57K) / Survival analysis and censored data (62N) / Functions of one variable (26A)

[00098] Robust bring your own encryption algorithm using generalized heat equation associated with generalized Vigen$\grave{e}$re-type table over symmetric group

  • Session Time & Room : 3E (Aug.23, 17:40-19:20) @E504
  • Type : Contributed Talk
  • Abstract : We develop a secure bring your own encryption algorithm that encrypts personal data. The proposed algorithm is based on a generalized heat equation associated with a generalized Vigen$\grave{e}$re-type table over symmetric group $S_{n}$ so that existing attacks will be infeasible. Encryption keys are obtained from random key sequences tested by NIST statistical test suite. The robustness of the proposed algorithm has been found by comparing it with other competing existing algorithms.
  • Classification : 68P25, 68P30, Image encryption.
  • Format : Talk at Waseda University
  • Author(s) :
    • Manish Kumar (BITS Pilani, Hyderabad Campus, Telangana, India)

[00805] A Topological Model of Textile Structures

  • Session Time & Room : 3E (Aug.23, 17:40-19:20) @E504
  • Type : Contributed Talk
  • Abstract : Textiles are complex entangled structures made of threads embedded in a thickened plane. From nano to macro scale and high functionality to pure esthetic, they have been studied and fabricated for thousands of years in disciplines as diverse as materials science and art. Currently an active research topic in mathematics, we will present a topological model that aims to define, construct and classify specific textile structures from a knot theory viewpoint and highlight some applications.
  • Classification : 57K10, 57K12
  • Format : Talk at Waseda University
  • Author(s) :
    • Sonia Mahmoudi (Drexel University)

[01452] Some Statistical Properties and Maximum Likelihood Estimation of Parameters of Bivariate Modified Weibull Distribution with its Real-Life Applications

  • Session Time & Room : 3E (Aug.23, 17:40-19:20) @E504
  • Type : Contributed Talk
  • Abstract : Real-life data sets with ties arise quite commonly in medicine, industry, reliability and survival analysis. We attempt to model such types of data sets using bivariate distributions with singular components. For this purpose, we consider mainly two types of approaches, namely the "Minimization approach" and the "Maximization approach." Using the minimization approach the bivariate modified Weibull (BMW) distribution is derived. Due to five parameters, the BMW is a more general and flexible distribution. It reduces to the Marshall-Olkin bivariate exponential (MOBE) and Marshall-Olkin bivariate Weibull (MOBW) distributions under certain parameter restrictions. Some distributional, modal and aging properties of BMW will be discussed. The copula associated with BMW distribution is given. Finally, we will discuss the maximum likelihood estimation of parameters of BMW distribution via the EM algorithm. We will give some numerical results of a real-life data set with ties.
  • Classification : 62Nxx, Mainly to developed models to analyze real life bivariate data sets where the ties occur naturally in the data sets. The data may be censored . Such type of models are known as Bivariate distributions with singular component.
  • Format : Talk at Waseda University
  • Author(s) :
    • Sanjay Kumar (Ph.D. Student, Department of Mathematics & Statistics, Indian Institute of Technology Kanpur)
    • Debasis Kundu (Professor, Department of Mathematics & Statistics, Indian Institute of Technology Kanpur)
    • Sharmishtha Mitra (Professor, Department of Mathematics & Statistics, Indian Institute of Technology Kanpur)

[02420] Nonparametric Bivariate Density Estimation for Missing Censored Lifetimes

  • Session Time & Room : 3E (Aug.23, 17:40-19:20) @E504
  • Type : Contributed Talk
  • Abstract : Estimation of the joint density of two censored lifetimes is a classical problem in survival analysis, but only recently the theory and methodology of efficient nonparametric estimation have been developed. A familiar complication in survival analysis is that in real data censored lifetimes and indicators of censoring may be missing. For the model of missing completely at random, an efficient bivariate density estimator is proposed, and a practical example is presented.
  • Classification : 62N02, 62G05, 62G07, Missing data, survival analysis and censoring, nonparametric estimation
  • Format : Online Talk on Zoom
  • Author(s) :
    • Lirit Fuksman (The University of Texas at Dallas)

[00853] Numerical Approximation of Fractional Burgers Equation with Non-singular Time-Derivatives

  • Session Time & Room : 3E (Aug.23, 17:40-19:20) @E504
  • Type : Contributed Talk
  • Abstract : Fractional Burgers equation (FBE) is a partial differential equation being non-linear in space. This work presents a numerical method to solve a time-FBE with second order of convergence. The fractional time-derivative is taken as non-singular derivative whose kernel contains the Mittag-Leffler function. The discretization of derivatives is done by using finite difference method and Newton iteration method. Developed numerical scheme is stable and convergent in L^∞ norm. Examples have been illustrated to validate the theory.
  • Classification : 26A33, 65R10, 35R11
  • Format : Online Talk on Zoom
  • Author(s) :
    • Swati Yadav (NTNU Trondheim)
    • Swati Yadav (NTNU Trondheim)
    • Rajesh Kumar Pandey (IIT BHU, Varanasi)