TY - JOUR
ID - 6676
TI - An optimum single bounded inner energy level estimation using generalized Petersen graph and sampling method with imputation
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN - 2008-6822
AU - Rajoriya, Deepika
AU - Shukla, D.
AD - Department of Mathematics and Statistics, Dr. Harisingh Gour Central University, Sagar (M.P.), India
Y1 - 2022
PY - 2022
VL - 13
IS - 2
SP - 2439
EP - 2452
KW - Graph
KW - Petersen Graph
KW - Estimator
KW - Bias
KW - Mean Squared Error (MSE)
KW - Optimum Choice
KW - Confidence intervals
KW - Nodes (vertices): Pattern Imputation
DO - 10.22075/ijnaa.2022.25717.3105
N2 - Assume a large microscopic internal bonding chemical structure of a substance designed like a Petersen graph where electrons are the vertices and edges representing the bonding energy levels in between them. For large structures, it is difficult to find out the average level of bonding energy between any pair of electron-proton microscopic structures. For a chemical scientist, it is a difficulty and a challenge both to find out what is the average amount of energy bounded between any subsequent pair of electron-proton bi-valent bond, trivalent bond, or tetravalent bond. This paper presents a sample-based estimation methodology for estimating the bonding energy mean value. A node-sampling procedure is proposed whose bias, mean-squared errors and other properties are derived. Results are supported by empirical studies. Findings are compared with particular cases and confidence intervals are used as a basic tool of comparison for robustness purposes.
UR - https://ijnaa.semnan.ac.ir/article_6676.html
L1 - https://ijnaa.semnan.ac.ir/article_6676_38a15d11a06b041a06d49565ed498907.pdf
ER -