Abstract
The use of historical, i.e., already existing, estimates in current studies is common in a wide variety of application areas. Nevertheless, despite their routine use, the uncertainty associated with historical estimates is rarely properly accounted for in the analysis. In this communication, we review common practices and then provide a mathematical formulation and a principled frequentist methodology for addressing the problem of drawing inferences in the presence of historical estimates. Three distinct variants are investigated in detail; the corresponding limiting distributions are found and compared. The design of future studies, given historical data, is also explored and relations with a variety of other well-studied statistical problems discussed.
Original language | English |
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Pages (from-to) | 203-236 |
Number of pages | 34 |
Journal | Statistical Papers |
Volume | 65 |
Issue number | 1 |
Early online date | 6 Jan 2023 |
DOIs | |
State | Published - Feb 2024 |
Bibliographical note
Publisher Copyright:© 2023, The Author(s).
Keywords
- Bliss-independence
- Double-sampling
- Loewner order
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty