A GENERALIZED VERSION OF FOSTER AND STUART'S <i>d</i>-STATISTIC
Makaleler > Tam Makale · 2019
Yazarlar: Halil TANIL
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, ESCI İndekslerine Giren Dergi, Uluslararası, Wos, 2019, cilt 68, ss 98-110
DOI: 10.31801/cfsuasmas.443648
Özet
Assume that only the lists of upper k-records and lower k-records of a finite sequence are available and the existence of a monotonic trend in location is interested in. In this study, a distribution-free test based on the difference between the numbers of upper and lower k-records is proposed for this situation. The exact and asymptotic distributions of the proposed test statistic are obtained for a random continuous sequence which is independent and identically distributed (i.i.d.). Also, a comparison between the proposed test and some well-known distribution-free tests is made in terms of empirical powers.