Process, Population, and Sample: The Researcher’s Interest

Research output: Contribution to book or proceedingConference articlepeer-review

Abstract

A case is made that researchers are interested in studying processes. Often the inferences they are interested in making is about the process and its associated population. On other occasions, a researcher may be interested in making an inference about the collection of individuals the process has generated. We will call the statistical methods employed by the researcher to make such inferences about the process/population “estimation methods.” The statistical methods used in making an inference about the collection of individuals generated we call “prediction methods.” Since researchers are studying repetative processes, then according to Savage (The Foundations of Statistics. Wiley (1954)) the classical method of assigning probability should be used. Methods for obtaining interval estimates of a parameter and prediction intervals for a statistic are given. The analytical and enumerative methods discussed in Deming (Journal of the American Statistical Association48, 244–255, 1953) are simply estimation and prediction methods, respectively.

Original languageEnglish
Title of host publicationApplied Mathematical Analysis and Computations II - 1st SGMC
EditorsDivine Wanduku, Shijun Zheng, Zhan Chen, Andrew Sills, Haomin Zhou, Ephraim Agyingi
PublisherSpringer
Pages247-268
Number of pages22
ISBN (Print)9783031697098
DOIs
StatePublished - 2024
Event1st Southern Georgia Mathematics Conference, SGMC 2021 - Virtual, Online
Duration: Apr 2 2021Apr 3 2021

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume472
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

Conference1st Southern Georgia Mathematics Conference, SGMC 2021
CityVirtual, Online
Period04/2/2104/3/21

Scopus Subject Areas

  • General Mathematics

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