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A test for equality of two exponential distributions
Author(s) -
Perng S. K.
Publication year - 1978
Publication title -
statistica neerlandica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.52
H-Index - 39
eISSN - 1467-9574
pISSN - 0039-0402
DOI - 10.1111/j.1467-9574.1978.tb01388.x
Subject(s) - mathematics , exponential function , exponential family , combinatorics , exponential distribution , natural exponential family , order (exchange) , statistics , mathematical analysis , finance , economics
Let X 1 ., X n1 and Y 1 ., Y n1 , be two independent random samples from exponential populations. The statistical problem is to test whether or not two exponential populations are the same, based on the order statistics X [1] ,. X [r1] and Y [ 1 ],. Y [rs] where 1 r 1 n 1 and 1 r 2 n 2 . A new test is given and an asymptotic optimum property of the test is proved.