Defining Sample Quantiles by the True Rank Probability
Joint Authors
Source
Journal of Probability and Statistics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-12-08
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
Many definitions exist for sample quantiles and are included in statistical software.
The need to adopt a standard definition of sample quantiles has been recognized and different definitions have been compared in terms of satisfying some desirable properties, but no consensus has been found.
We outline here that comparisons of the sample quantile definitions are irrelevant because the probabilities associated with order-ranked sample values are known exactly.
Accordingly, the standard definition for sample quantiles should be based on the true rank probabilities.
We show that this allows more accurate inference of the tails of the distribution, and thus improves estimation of the probability of extreme events.
American Psychological Association (APA)
Makkonen, Lasse& Pajari, Matti. 2014. Defining Sample Quantiles by the True Rank Probability. Journal of Probability and Statistics،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1042817
Modern Language Association (MLA)
Makkonen, Lasse& Pajari, Matti. Defining Sample Quantiles by the True Rank Probability. Journal of Probability and Statistics No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-1042817
American Medical Association (AMA)
Makkonen, Lasse& Pajari, Matti. Defining Sample Quantiles by the True Rank Probability. Journal of Probability and Statistics. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1042817
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1042817