 Truncated Normal Spread RatioNick T. Thomopoulos
Chapter Chapter 7 in Probability Distributions, 2018, pp 99-112 from Springer Abstract: Abstract A new statistic, called the spread ratio, is introduced that allows the analyst to identify which distribution best fits sample data, where the choice of distributions are the normal, left-truncated normal (LTN), and right-truncated normal (RTN). When the choice is the LTN or RTN, the location parameter, k, is also identified. The spread ratio for each distribution is computed using percent-points, t0.01, t0.99, and the mean of the distribution, and is a positive number. Using sample data, an estimate of the spread ratio is easily measured, and when the ratio is near one, the normal distribution fits the data best; when below one, the LTN is chosen; and when above one, the RTN is selected. For LTN, the low limit of the population data, γ, is estimated with use of the sample data and the tables provided on LTN. In the same way, if the RTN is chosen as the distribution, the high limit, δ, of the population data is easily estimated using sample data and the tables on RTN. Further, in either event, LTN or RTN, the analysis allows the researcher to estimate a value xα, where P(x ≤ xα) = α. Also when LTN or RTN, the analysis shows how to estimate the value of α for a given x` where P(x ≤ x`) = α. Date: 2018 There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it. Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-76042-1_7 Ordering information: This item can be ordered from DOI: 10.1007/978-3-319-76042-1_7 Access Statistics for this chapter More chapters in Springer Books from Springer |
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