Random sampling with fuzzy replacement

KESEMEN O., TİRYAKİ B. K., TEZEL Ö., ÖZKUL E., Naz E.

Expert Systems with Applications, vol.185, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 185
  • Publication Date: 2021
  • Doi Number: 10.1016/j.eswa.2021.115602
  • Journal Name: Expert Systems with Applications
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, PASCAL, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Computer & Applied Sciences, INSPEC, Metadex, Public Affairs Index, Civil Engineering Abstracts
  • Keywords: Sampling methods, Random sampling, Sampling with replacement, Sampling without replacement, Sampling with fuzzy replacement, PROBABILITIES
  • Karadeniz Technical University Affiliated: Yes

Abstract

© 2021 Elsevier LtdIn this study, the probability of selecting unit again of the selecting sample is determined by the fuzzification parameter. Accordingly, a random sampling method has been proposed providing a transition between with replacement or without replacement of selecting sample. Especially, this paper provides a bridge between sampling with and without replacement with the fuzzification parameter which takes values in the range [0,1]. When it is zero, the proposed method performs as 'without replacement', and when it is one, it performs 'with replacement'. A simulation study is carried out to examine the performance of the proposed method and it is carefully studied how is the behavior of the difference between the effective sample size, the expectation of sample size, and the actual sample size. In real life problems modelling, only two different random sampling is performed in the literature. However, this study provides more reliable modelling by adding a variability in the variance. Lastly, a scenario is presented for which the introduced sampling design is sensible to be implemented and it produces some desire properties.