出版社:Dep. of Statistical Sciences "Paolo Fortunati", Università di Bologna
摘要: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 G 2 and G 4 are obtained. It is also shown that G 2 (for leptokurtic p -normal distributions) and G 4 (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).