Local asymptotic normality of statistical experiments in an inhomogeneous competing risks model under random censoring on the right
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 16 (2023) no. 4, pp. 431-440

Voir la notice de l'article provenant de la source Math-Net.Ru

The local asymptotic normality property of the likelihood ratio statistic in the competing risk model that corresponds to inhomogeneous and randomly right-censored observations is proved in the paper.
Keywords: local asymptotic normality, likelihood ratio statistic, competing risk model, random censoring, asymptotic representation.
Nargiza Nurmuhamedova. Local asymptotic normality of statistical experiments in an inhomogeneous competing risks model under random censoring on the right. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 16 (2023) no. 4, pp. 431-440. http://geodesic.mathdoc.fr/item/JSFU_2023_16_4_a2/
@article{JSFU_2023_16_4_a2,
     author = {Nargiza Nurmuhamedova},
     title = {Local asymptotic normality of statistical experiments in an inhomogeneous competing risks model under random censoring on the right},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {431--440},
     year = {2023},
     volume = {16},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2023_16_4_a2/}
}
TY  - JOUR
AU  - Nargiza Nurmuhamedova
TI  - Local asymptotic normality of statistical experiments in an inhomogeneous competing risks model under random censoring on the right
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2023
SP  - 431
EP  - 440
VL  - 16
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/JSFU_2023_16_4_a2/
LA  - en
ID  - JSFU_2023_16_4_a2
ER  - 
%0 Journal Article
%A Nargiza Nurmuhamedova
%T Local asymptotic normality of statistical experiments in an inhomogeneous competing risks model under random censoring on the right
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2023
%P 431-440
%V 16
%N 4
%U http://geodesic.mathdoc.fr/item/JSFU_2023_16_4_a2/
%G en
%F JSFU_2023_16_4_a2

[1] I.Ibragimov, R.Khas'minskii, Statistical Estimation: Asymptotic Theory, Springer–Verlag, New York, 1981 | MR | Zbl

[2] L.Cam, G.Yang, Asymptotics in Statistics: some basic concepts, Springer-Verlag, New York, 2000 | MR | Zbl

[3] V.Voinov, M.Nikulin, N.Balakrishnan, Chi-squared goodness of fit tests with application, Elsevier, USA, 2013

[4] A.W. van der Vaart, Asymptotic Statistics, Cambridge University Press, USA, 1998 | MR | Zbl

[5] A.A.Abdushukurov, L.V.Kim, “Lower Cramer-Rao and Bhattacharyya bounds for randomly censored observations”, Journal of Soviet Mathematics, 38:5 (1987), 2171–2185 | DOI | Zbl

[6] A.Abdushukurov, N.Nurmuhamedova, “Locally asymptotically normality of the family of distributions by incomplete observations”, Journal of Siberian Federal University. Mathematics Physics, 7 (2014), 141–154

[7] A.A.Abdushukurov, N.S.Nurmukhamedova, “Local Asymptotic Normality of Statistical Experiments in an Inhomogeneous Competing Risks Model”, Journal of Siberian Federal University. Mathematics and Physics, 15:5 (2022), 645–650 | DOI | MR

[8] A.A.Abdushukurov, N.S.Nurmukhamedova, “Asymptotic Properties of Bayesian-Type Estimates in the Competing Risk Model under Random Censoring”, Journal of Mathematical Sciences (United States), 42:2 (2020), 257–268 | MR