New goodness-of-fit tests for the family of Rayleigh distributions, based on a special property and a characterization
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 31, Tome 505 (2021), pp. 230-243
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In this paper we construct new goodness-of-fit tests for Rayleigh distribution family with an arbitrary scale-parameter $\sigma$, based on some property and some characterization. We describe their limiting distributions, calculate local Bahadur efficiencies under close alternatives and perform asymptotic comparison of our test statistics.
@article{ZNSL_2021_505_a13,
author = {I. A. Ragozin},
title = {New goodness-of-fit tests for the family of {Rayleigh} distributions, based on a special property and a characterization},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {230--243},
publisher = {mathdoc},
volume = {505},
year = {2021},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2021_505_a13/}
}
TY - JOUR AU - I. A. Ragozin TI - New goodness-of-fit tests for the family of Rayleigh distributions, based on a special property and a characterization JO - Zapiski Nauchnykh Seminarov POMI PY - 2021 SP - 230 EP - 243 VL - 505 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_2021_505_a13/ LA - ru ID - ZNSL_2021_505_a13 ER -
%0 Journal Article %A I. A. Ragozin %T New goodness-of-fit tests for the family of Rayleigh distributions, based on a special property and a characterization %J Zapiski Nauchnykh Seminarov POMI %D 2021 %P 230-243 %V 505 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_2021_505_a13/ %G ru %F ZNSL_2021_505_a13
I. A. Ragozin. New goodness-of-fit tests for the family of Rayleigh distributions, based on a special property and a characterization. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 31, Tome 505 (2021), pp. 230-243. http://geodesic.mathdoc.fr/item/ZNSL_2021_505_a13/