RECORDS TESTS FOR TREND IN LOCATION

The number of upper and lower records in both directions of the series is considered for testing the hypothesis that a sequence of random va riables is independently and identically distributed, against the alte rnative of a polynomial trend in location. The asymptotic relative eff iciency of the records tests, originally suggested by Foster and Stuar t (1954), is derived. It is shown that the efficiency of these tests i s raised distinctly by splitting the series of observations and by wei ghting the records according to their position in the series.