Archivio Istituzionale della RicercaStatistical inference on the circle may strongly depend on the chosen reference system. Here, we introduce necessary and sufficient conditions to avoid inferential problems and misinterpretation of parameter estimates for any circular distribution. The construction of invariant distributions, with respect to the reference system, is discussed by introducing specific properties. Numerical examples on simulations and data are presented to corroborate and illustrate theoretical results.
Invariance properties and statistical inference for circular data / Mastrantonio, G.; Lasinio, G. J.; Maruotti, A.; Calise, G.. - In: STATISTICA SINICA. - ISSN 1017-0405. - 29:1(2019), pp. 67-80. [10.5705/ss.202016.0067]
Invariance properties and statistical inference for circular data
Mastrantonio G.;
2019
Abstract
Statistical inference on the circle may strongly depend on the chosen reference system. Here, we introduce necessary and sufficient conditions to avoid inferential problems and misinterpretation of parameter estimates for any circular distribution. The construction of invariant distributions, with respect to the reference system, is discussed by introducing specific properties. Numerical examples on simulations and data are presented to corroborate and illustrate theoretical results.
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2019 - Invariance properies.pdf
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Paper.pdf
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https://hdl.handle.net/11583/2777044