Applying the method of Lagrange Multipliers to derive an estimator for unsampled soil properties / Ng Set Foong ... [et al.]

Ng, Set Foong and Ch’ng, Pei Eng and Chew, Yee Ming and Ng, Kok Shien (2014) Applying the method of Lagrange Multipliers to derive an estimator for unsampled soil properties / Ng Set Foong ... [et al.]. Scientific Research Journal, 11 (1). pp. 16-28. ISSN 1675-7009

Abstract

Soil properties are very crucial for civil engineers to differentiate one type of soil from another and to predict its mechanical behavior. However, it is not practical to measure soil properties at all the locations at a site. In this paper, an estimator is derived to estimate the unknown values for soil properties from locations where soil samples were not collected. The estimator is obtained by combining the concept of the ‘Inverse Distance Method’ into the technique of ‘Kriging’. The method of Lagrange Multipliers is applied in this paper. It is shown that the estimator derived in this paper is an unbiased estimator. The partiality of the estimator with respect to the true value is zero. Hence, the estimated value will be equal to the true value of the soil property. It is also shown that the variance between the estimator and the soil property is minimized. Hence, the distribution of this unbiased estimator with minimum variance spreads the least from the true value. With this characteristic of minimum variance unbiased estimator, a high accuracy estimation of soil property could be obtained.

Metadata

Item Type: Article
Creators:
CreatorsID Num. / Email
Ng, Set Foongngsetfoong061@ppinang.uitm.edu.my
Ch’ng, Pei EngUNSPECIFIED
Chew, Yee MingUNSPECIFIED
Ng, Kok ShienUNSPECIFIED
Subjects: S Agriculture > S Agriculture (General) > Soils. Soil science. Including soil surveys, soil chemistry, soil structure, soil-plant relationships
Divisions: Universiti Teknologi MARA, Shah Alam > Research Management Centre (RMC)
Journal or Publication Title: Scientific Research Journal
Journal: UiTM Journal > Scientific Research Journal
ISSN: 1675-7009
Volume: 11
Number: 1
Page Range: pp. 16-28
Item ID: 12793
Uncontrolled Keywords: Lagrange Multipliers, estimator, error, variance, soil properties
URI: http://ir.uitm.edu.my/id/eprint/12793

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