Schmidt, Karl; Zhigljavsky, Anatoly - In: Metrika 76 (2013) 3, pp. 347-355
The main result of the paper is the following characterization of the generalized arcsine density p <Subscript> γ </Subscript>(t) = t <Superscript> γ−1</Superscript>(1 − t)<Superscript> γ−1</Superscript>/B(γ, γ) with <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$${t \in (0, 1)}$$</EquationSource> </InlineEquation> and <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$${\gamma \in(0,\frac12) \cup (\frac12,1)}$$</EquationSource> </InlineEquation> : a r.v. ξ supported on [0, 1] has the generalized arcsine density...</equationsource></inlineequation></equationsource></inlineequation></superscript></superscript></subscript>