The most efficient linear combination of the Sign and the Maesono tests for p-normal distributions

Autor: Giuseppe Burgio, Stefano Patrì
Jazyk: angličtina
Rok vydání: 2013
Předmět:
Zdroj: Statistica, Vol 71, Iss 4, Pp 411-420 (2013)
Druh dokumentu: article
ISSN: 0390-590X
1973-2201
DOI: 10.6092/issn.1973-2201/3623
Popis: This paper deals with the Pitman most efficient Gr linear combination of the Sign and the Maesono tests for parent distributions belonging to the p-normal family of densities. The most efficient linear combinations G2 and G4 are obtained. It is also shown that G2 (for leptokurtic p-normal distributions) and G4 (for platikurtic p-normal distributions) are much more efficient than Student’s t, with a maximum loss of efficiency of about 3,1% in the near proximity of the normal distribution (p=2).
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