RUS  ENG
Full version
JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2012 Volume 408, Pages 43–61 (Mi znsl5491)

This article is cited in 2 papers

On chi-squared type tests and their applications in survival analysis and reliability

V. Bagdonavičiusa, R. Levulienea, M. S. Nikulinb, Q. X. Tran

a Vilnius University, Vilnius, Lithuania
b IMB, Victor Segalen University, Bordeaux, France

Abstract: The famous chi-square test of Pearson is well known, but different modifications of this test are not so well known. The theory of the chi-squared tests is developed very actively till now, especially in accelerated trials. We shall discuss here some applications of the theory of chi-squared tests in reliability and survival analysis for parametric regression models with time depending covariates when data are right censored.

Key words and phrases: chi-squared test, complete data, composite hypothesis, Fisher's information, goodness-of-fit, maximum likelihood estimator, parametric hypothesis, random cells, regression models, reliability, right censored data, simple sample, survival analysis.

UDC: 519.2

Received: 15.10.2012

Language: English


 English version:
Journal of Mathematical Sciences (New York), 2014, 199:2, 88–99

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024