Solvable and Unsolvable Sampling Problems

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Authors: Maxime A. Pitard, Francis F. Pitard
Cited by: 0

Abstract

Theoretically all sampling problems are solvable; however, from a practical standpoint many sampling problems are not solvable within a reasonable cost. In a great number of cases, the notion of solvability is closely related to the notion of cost effectiveness. This leads to the following definitions: A sampling problem is solvable when we are capable of developing and implementing a sampling plan characterized by an acceptable degree of representativeness that can be achieved at an acceptable cost. A sampling problem is unsolvable when the above condition cannot be met, or when non-probabilistic specimens are collected instead of probabilistic samples. Solutions and recommendations are given in this chapter.

Fields of Study & Subjects

Survey Sampling and Estimation Techniques Markov Chains and Monte Carlo Methods Random Matrices and Applications

Publication details

Pages
565–570
Publication date
2 January 2026
Language
EN
Document type
Book chapter