Multidimensional Balanced Error Sampling with first order Lagrange Interpolation

Prepare to transform your understanding of sampling and enrich your research work with innovative and effective tools. Whether you are a researcher, student, or curious individual, this book allows you to delve into an essential work that revolutionizes multidimensional sampling of the environment.

Explore the fundamental concepts, theorems, methods, and algorithms necessary for a practical approach to first- order multidimensional balanced error sampling, while taking into account various constraints such as the number of samples, study area (which may be a surface or a volume), as well as the expected variability of the analyzed properties.

With a rigorous and detailed mathematical approach, this work applies to an infinite number of dimensions, thus offering limitless practical application perspectives. The results presented here illuminate and systematize practices that have often been intuitive until now, paving the way for new sampling design methods suitable for many research fields, particularly in environmental studies.