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6 articles for “Moment convergence”
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A Density Version of A Local Limit Theorem for Properly Normalised Weighted Sums
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
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Beyond Walls: The Transformative Power of Art Galleries in a Diverse Society
Abstract: Art galleries serve as dynamic spaces where artistic expression converges with cultural appreciation, fostering dialogue, reflection, and inspiration. This abstract explores the multifaceted role of art galleries in contemporary society, examining their significance as hubs of creativity, education, and community engagement. Through curate exhibitions, educational programs, and interactive experiences, galleries provide platforms for artists to showcase their works, audiences to explore diverse perspectives, and communities to connect with the transformative …
Published in Recent Trends in Social Studies · Vol. 1, Issue 1, 2024 · pp. 25–40 Read article
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Handwritten Sanskrit Word Recognition: A Deep Learning Approach Using AlexNet
Abstract: Handwritten Sanskrit word recognition poses significant challenges due to the intricate structure of the script and the considerable variations in handwriting across individuals. To address these challenges, this research introduces a novel methodology employing transfer learning with the AlexNet convolutional neural network. The study utilized two distinct datasets: a specifically curated Sanskrit word image dataset containing 2616 samples, alongside a broader Devanagari character dataset used for validation purposes. The established …
Published in Current Trends in Signal Processing · Vol. 15, Issue 2, 2025 · pp. 33–43 Read article
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MRDCI Study of Doublet States of CO+ Ion and Its Spectroscopic Properties
Abstract: The potential energy curves of 2 + , 2 , 2 + , C and 2 D electronic states of CO+ion have been calculated using the multi-reference single and double excitation configurationinteractionmethod (MRDCI). The potential energy curves and transition dipole moment havebeen calculated in the range of 1.6 to 7.0 a0 internuclear distance (R). The calculatedpotential energy curves found to converge smoothly …
Published in Research & Reviews : Journal of Physics · Vol. 9, Issue 1, 2020 · pp. 1–10 Read article
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Technology with a Human Face: Reimagining Progress through Universal Ethical Principles
Abstract: Technological progression is mostly considered as a tool of human evolution. In this digital era, however, quick novelty has revealed complex ethical gaps in the modelling and implement of technology. Technologies namely artificial intelligence, algorithmic systems, and digital surveillance progressively effect social life, economic activity, and political decision-making. While these technologies provide proficiency and progress, they also advance moral concerns connected to discretion, disparity, liability, and human dignity. The technique …
Published in International Journal of Behavioral Sciences · Vol. 3, Issue 1, 2026 · pp. 30–36 Read article
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Finite Element Analysis of Thin Shell Loaded at the Center
Abstract: Thin rectangular shell structure with clamped edges subjected to concentrated load at the center is modeled as symmetric structure using ANSYS. The shell structure is examined with different length and width combinations. The SHELL181 element is used to model this structure. In general, the results show good agreement with mechanics of materials’ solutions or design tables’ results. A convergence study of the shell structure shows that 10000 elements are sufficient …
Published in Trends in Mechanical Engineering & Technology · Vol. 9, Issue 2, 2019 · pp. 12–20 Read article