A note on Asymptotical Efficiency of the Goodness of Fit Tests Based on disjoint k-spacings Statistic

Muhammad Naeem
2018 Pakistan Journal of Statistics and Operation Research  
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
more » ... 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.
doi:10.18187/pjsor.v14i4.1951 fatcat:c4nwlibvmvep5oioiuivoxxmjy