65th ISI World Statistics Congress 2025

65th ISI World Statistics Congress 2025

Statistical Inference on the Shape Parameter of Inverse Generalized Weibull Distribution

Author

YZ
Dr Yan Zhuang

Co-author

  • S
    Sudeep R. Bapat
  • W
    Wenjie Wang

Conference

65th ISI World Statistics Congress 2025

Format: IPS Abstract - WSC 2025

Keywords: asymptotic, cancer research, estimation, inference, weibull

Session: IPS 944 - Mixing Cutting-Edge Statistical Practice and Modern Theory Benefiting the Society - I

Thursday 9 October 8 a.m. - 9:10 a.m. (Europe/Amsterdam)

Abstract

In this presentation, we will discuss efficient and effective statistical inference methodologies for the shape parameter of an inverse generalized Weibull distribution. This includes a bounded-risk point estimation and a fixed accuracy confidence interval estimation for the shape parameter. We adopt suitable sequential sampling procedures to work with an optimum number of observations, which proves to be less time-consuming and cost-effective. Our proposed estimation procedures also follow appealing efficiency properties. We further include extensive simulation analysis and a practical application related to bladder cancer data, to support the applicability of our proposed procedures.