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2 articles for “Local limit theorem”

• Published Subscription 30 Mar 2022

  A Density Version of A Local Limit Theorem for Properly Normalised Weighted Sums

  By KN Raviprakash, K. Vidyalaxmi, Gooty Divanji

  Abstract: Let   n X ,n 1 be a sequence of i.i.d. random variables with a common distribution function F with1 EX  0 . Let nn kk 1S X , n 1  andnn kk 1kT f Xn      , where f is positive, non -decreasing and continuous on [0,1] with f(1) 1. Let   k n be an integer sequence suchthat,1n n n …

  Published in Research & Reviews : Journal of Statistics · Vol. 4, Issue 3, 2015 · pp. 29–37 Read article →

• Published Subscription Review Article 26 May 2025

  Density Functional Theory (DFT): Understanding and Quantifying Molecular Structure of 2-D Materials

  By Kaushki Khanna, Darshpreet Singh, Aryendra Singh, Aditi Rai Agnihotri, Usha Shukla

  Abstract: Density Functional Theory (DFT) has emerged as a cornerstone in computational chemistry and materials science, offering a powerful framework for predicting electronic structures and properties of atoms, molecules, and solids. By focusing on electron density rather than wave functions, DFT simplifies the many-body problem through approximations like the local density approximation (LDA) and generalized-gradient approximations (GGAs). The Hohenberg-Kohn theorems establish the theoretical foundation, proving that ground-state properties are uniquely determined …

  Published in Journal of Microelectronics and Solid State Devices · Vol. 12, Issue 2, 2025 · pp. 33–40 Read article →