Statistics Faculty, Kowsar University of Bojnourd, Bojnourd
Abstract
One of the most common censoring methods is right-handed incremental censoring. In this censoring method, $n$ units are included in the experiment and at the time of failure of each unit, a number of remaining units are randomly removed from the experiment. This continues until $m$ unit failure times are recorded for a predetermined value such as $m$ and then the experiment is terminated. The problem of determining the optimal censoring design in the type-two incremental censoring model is a problem that has been studied so far based on different criteria. Another problem in the type-two incremental censoring model is the selection of the sample size at the beginning of the experiment, i.e. $n$. In this paper, assuming a Pareto distribution for the data under study and the Fisher information criterion, the determination of the optimal sample size, i.e. $n_{opt}$, as well as the optimal censoring design are studied. Finally, in order to evaluate the obtained results, numerical calculations and a real example are presented using the $R$ software.
Basiri, E. (2020). Optimal sample size and design in type-two incremental censoring based on Fisher's information criterion in Pareto distribution. Andishe_ye Amari, 24(2), 25-35.
MLA
Basiri, E. "Optimal sample size and design in type-two incremental censoring based on Fisher's information criterion in Pareto distribution", Andishe_ye Amari, 24, 2, 2020, 25-35.
HARVARD
Basiri E. (2020). 'Optimal sample size and design in type-two incremental censoring based on Fisher's information criterion in Pareto distribution', Andishe_ye Amari, 24(2), pp. 25-35.
CHICAGO
E. Basiri, "Optimal sample size and design in type-two incremental censoring based on Fisher's information criterion in Pareto distribution," Andishe_ye Amari, 24 2 (2020): 25-35,
VANCOUVER
Basiri E. Optimal sample size and design in type-two incremental censoring based on Fisher's information criterion in Pareto distribution. Andishe_ye Amari. 2020;24(2):25-35 (In Persian).