Increased Statistical Efficiency in a Lognormal Mean Model
Joint Authors
Sahai, Ashok
Skrepnek, Grant H.
Source
Journal of Probability and Statistics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-14
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Within the context of clinical and other scientific research, a substantial need exists for an accurate determination of the point estimate in a lognormal mean model, given that highly skewed data are often present.
As such, logarithmic transformations are often advocated to achieve the assumptions of parametric statistical inference.
Despite this, existing approaches that utilize only a sample’s mean and variance may not necessarily yield the most efficient estimator.
The current investigation developed and tested an improved efficient point estimator for a lognormal mean by capturing more complete information via the sample’s coefficient of variation.
Results of an empirical simulation study across varying sample sizes and population standard deviations indicated relative improvements in efficiency of up to 129.47 percent compared to the usual maximum likelihood estimator and up to 21.33 absolute percentage points above the efficient estimator presented by Shen and colleagues (2006).
The relative efficiency of the proposed estimator increased particularly as a function of decreasing sample size and increasing population standard deviation.
American Psychological Association (APA)
Skrepnek, Grant H.& Sahai, Ashok. 2014. Increased Statistical Efficiency in a Lognormal Mean Model. Journal of Probability and Statistics،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1042863
Modern Language Association (MLA)
Skrepnek, Grant H.& Sahai, Ashok. Increased Statistical Efficiency in a Lognormal Mean Model. Journal of Probability and Statistics No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1042863
American Medical Association (AMA)
Skrepnek, Grant H.& Sahai, Ashok. Increased Statistical Efficiency in a Lognormal Mean Model. Journal of Probability and Statistics. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1042863
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1042863