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Directly Specifying the Power Semicircle Distribution

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Abstract:

A new proof for a newly proved conjecture of Soltani and Roozegar (2012) is provided; our proof does not make any use of the Stieltjes transform unlike the proof of Roozegar and Soltani (2013), and the distribution of power semicircle has been directly specified, contrary to the authors' claim in (Roozegar and Soltani 2013).

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