Robust Inference for the Skew Normal Regression Model Under Type II Censoring

GEDİK BALAY İ., ŞENOĞLU B.

THAILAND STATISTICIAN, vol.22, no.3, pp.547-564, 2024 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 22 Issue: 3
  • Publication Date: 2024
  • Journal Name: THAILAND STATISTICIAN
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.547-564
  • Ankara University Affiliated: Yes

Abstract

In this paper, we concentrate on statistical inference for the regression model with skew normal (SN) distributed error terms under type-II censoring. Iteratively reweighting algorithm (IRA) is used for computing maximum likelihood (ML) estimates of the model parameters, see Arslan (2009). We also use the non-iterative modified maximum likelihood (MML) methodology to obtain the explicit estimators of the model parameters, see Tiku (1967). Additionally, confidence intervals for the model parameters are constructed based on the proposed estimators. Monte Carlo simulation study is used to compare the efficiencies of the ML and MML estimators, and also the performances of the corresponding confidence intervals.