On a goodness-of-fit test for normality with unknown parameters and type-II  censored data

Castro-Kuriss, Claudia; Kelmansky, Diana M.; Leiva, Víctor; Martínez, Elena J.

Artículo de Publicación Periódica:
On a goodness-of-fit test for normality with unknown parameters and type-II censored data

dc.contributor.author	Castro-Kuriss, Claudia
dc.contributor.author	Kelmansky, Diana M.
dc.contributor.author	Leiva, Víctor
dc.contributor.author	Martínez, Elena J.
dc.date.accessioned	2022-05-02T16:01:38Z
dc.date.available	2022-05-02T16:01:38Z
dc.date.issued	2010-07
dc.description.abstract	"We propose a new goodness-of-fit test for normal and lognormal distributions with unknown parameters and type-II censored data. This test is a generalization of Michael's test for censored samples, which is based on the empirical distribution and a variance stabilizing transformation. We estimate the parameters of the model by using maximum likelihood and Gupta's methods. The quantiles of the distribution of the test statistic under the null hypothesis are obtained through Monte Carlo simulations. The power of the proposed test is estimated and compared to that of the Kolmogorov-Smirnov test also using simulations. The new test is more powerful than the Kolmogorov-Smirnov test in most of the studied cases. Acceptance regions for the PP, QQ and Michael's stabilized probability plots are derived, making it possible to visualize which data contribute to the decision of rejecting the null hypothesis. Finally, an illustrative example is presented."	en
dc.identifier.issn	1360-0532
dc.identifier.uri	http://ri.itba.edu.ar/handle/123456789/3843
dc.language.iso	en	en
dc.relation	info:eu-repo/semantics/altIdentifier/doi/10.1080/02664760902984626
dc.relation	info:eu-repo/grantAgreement/ANPCyT/PICT/21407/AR. Ciudad Autónoma de Buenos Aires
dc.relation	info:eu-repo/grantAgreement/UBA/UBACyT/X-018 /AR. Ciudad Autónoma de Buenos Aires
dc.relation	info:eu-repo/grantAgreement/CONICET/PIP/5505/AR. Ciudad Autónoma de Buenos Aires
dc.relation	info:eu-repo/grantAgreement/FONDECYT/1080326/CL. Santiago de Chile
dc.relation	info:eu-repo/grantAgreement/DIPUV/29-2006/CL. Santiago de Chile
dc.subject	ESTADISTICA	es
dc.subject	PRUEBAS	es
dc.subject	METODOS DE MONTE CARLO	es
dc.title	On a goodness-of-fit test for normality with unknown parameters and type-II censored data	en
dc.type	Artículos de Publicaciones Periódicas	es
dc.type	info:eu-repo/semantics/acceptedVersion
dspace.entity.type	Artículo de Publicación Periódica
itba.description.filiation	Fil: Castro-Kuriss, Claudia. Instituto Tecnológico de Buenos Aires; Argentina.
itba.description.filiation	Fil: Kelmansky, Diana M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
itba.description.filiation	Fil: Leiva, Víctor. Pontificia Universidad Católica de Valparaíso; Chile.
itba.description.filiation	Fil: Martínez, Elena J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.