Some Notes on the Logistic Distribution[sup][/sup]
Journal Title: Journal of Applied Quantitative Methods - Year 2008, Vol 3, Issue 1
Abstract
In this paper we study some properties of the density function f (x;θ ) =θ ⋅ e[sup]−x[/sup] (1+ e[sup]−x[/sup] )−[sup](θ +1)[/sup] , x ∈ R,θ > 0 which may be obtained from the distribution of the last order statistic from a reduced logistic population F(x) =1/(1+ e[sup]−x[/sup] ), x∈R . Its truncated variant is also discussed. The point and interval estimations for θ are provided also. The so-called (P, γ) - type statistical tolerances are constructed and a comment on the hazard rate is done also. The last paragraph is devoted to testing procedures on the parameter involved.
Authors and Affiliations
Alexandru ISAIC-MANIU, Viorel VODĂ
Keywords
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