Second-Order Asymptotic Minimax Property in Linear Regression

1986 ◽  
Vol 30 (4) ◽  
pp. 840-845
Author(s):  
O. M. Dukarski ◽  
B. Ya. Levit
Keyword(s):  
Linear Regression ◽  
Second Order ◽  
Asymptotic Minimax

scholarly journals Removal of phenol from aqueous solution using biochar produced from Araucaria Columnaris Bark

2021 ◽  
Author(s):  
Dinesh Chandola ◽  
Pooja Thathola ◽  
Ankit Bisht
Keyword(s):  
Aqueous Solution ◽  
Linear Regression ◽  
Contact Time ◽  
Regression Method ◽  
Second Order ◽  
Linear Regression Method ◽  
Batch Mode ◽  
Freundlich Isotherms ◽  
Nature Study ◽  
Pseudo Second Order

Abstract Abstract This work investigates the removal of phenol from aqueous solution using Araucaria Columnaris bark (ACB) as biochar. Five different types of biochars were developed through pyrolysis at different temp from 300 to 500°C. The effects of initial concentration, contact time, pH and temperature on adsorption behavior were studied in batch mode for each biochar. The optimum contact time observed for equilibrium condition was 60 mins for every biochar. And, the maximum adsorption followed the order 298 K > 308 K > 318 K. Adsorption equilibrium data were fitted to Langmuir and Freundlich isotherms by non-linear regression method and kinetic data by linear regression method, and fitted to pseudo-first order, pseudo-second order and Intraparticle diffusion models. Adsorption kinetics was reasonably described by pseudo-second order model with R 2 value 0.99. Thermodynamic parameters were also estimated that implied, the adsorption process was spontaneous and exothermic in nature. Study further showed that the acidic pH increased adsorption capacity of biochar but decreases continuously towards basic side. The removal of phenol with prepared biochar was achieved as high as 100 % for ACB-500. The maximum iodine adsorption value of prepared biochar was found to be 453.3 mg/g.

Linear and Non-Linear Regression Analysis of Boron Adsorption Kinetics on New Radiation Grafted Fibrous Adsorbent

2014 ◽  
Vol 625 ◽  
pp. 245-248
Author(s):  
T.M. Ting ◽  
Mohamed Mahmoud Nasef ◽  
Kamaruddin Hashim
Keyword(s):  
Kinetic Model ◽  
Linear Regression ◽  
Linear Method ◽  
Second Order ◽  
Linear Regression Method ◽  
Order Kinetic ◽  
Fast Kinetics ◽  
Non Linear ◽  
Pseudo Second Order ◽  
Boron Adsorption

The kinetic behavior of a new adsorbent prepared by radiation induced grafting of vinyl benzyl chloride (VBC) onto nylon-6 fibers followed by functionalization with N-methyl-D-glucamine was investigated using pseudo second-order kinetic model. The linear method and non-linear regression methods were compared to determine the best fitting for the kinetic model describing the adsorption of boron by the new adsorbent. Four pseudo second-order kinetic linear equations were presented. A type-1 pseudo second-order linear method was found to fit best the experimental data. Non-linear regression method was found to be more appropriate to describe the boron adsorption by the fibrous adsorbent which has also shown fast kinetics.

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