Author(s):
1. Muhammad Naeem:
Mathematics Deanship of First Combined Year, Umm Al-Qura University Makkah Mukarramah, 21514 KSA
Abstract:
In this paper Pitman's asymptotic efficiency (AE) as well as Kallenberg's intermediate AE of the goodnessof-fit tests based on higher-order non-overlapping spacings is considered. We study log statistic as well as entropy type statistic based on k-spacings when k may tend to infinity as n approaches infinity. It certainly compliments the available results for fixed k and provides more general result. We show that both types of statistics based on higher ordered spacings have higher efficiencies in Pitman's sense compared to their counterparts based on simple spacings. It is also shown that the Kallenberg's intermediate AE of such test coincides with its Pitman's AE, the power of the tests are also discussed.
Page(s):
839-851
DOI:
DOI not available
Published:
Journal: Pakistan Journal of Statistics and Operation Research, Volume: 14, Issue: 4, Year: 2018
Keywords:
Goodnessoffit
,
Spacings
,
Asymptotic power
,
Asymptotic efficiency
References:
References are not available for this document.
Citations
Citations are not available for this document.