Figure 1 - uploaded by Sümeyra Sert
Content may be subject to copyright.
Source publication
In this paper, estimation and prediction problems are discussed for the half-normal distribution under a progressively Type-II censoring scheme. This study focuses on two statistical inferential problems. In the first part of the study, several point estimators and confidence intervals are obtained for the scale parameter of the half-normal distrib...
Context in source publication
Similar publications
This paper is concerned with the problem of obtaining the conditional confidence intervals for the parameters of the Pareto distribution based on generalized order statistics. The properties of the derived intervals, such as the coverage rates, the covering symmetry, and the mean length of intervals, have been evaluated using Monte Carlo simulation...
When a researcher wants to perform a life-test comparison study of items made by two separate lines inside the same institution, joint censoring strategies are particularly important. In this paper, we present a new joint Type-Ⅰ hybrid censoring that enables an experimenter to stop the investigation as soon as a pre-specified number of failures or...
We suggest herein a procedure for estimating the distribution parameters and reliability based on the non-parametric kernel density function. This technique has been utilized as an alternative and reliable approach for estimation in life-testing models directly from the data without any prior assumptions about the underlying distribution parameters...
Conditional and unconditional procedures are used for constructing confidence intervals for Pareto distribution parameters based on generalized order statistics via Monte Carlo simulations. The conditional confidence intervals for the parameters are derived for different sample sizes to allow an assessment of the amount of information lost when one...
Citations
In this study, a new process capability index is proposed. The new index is quantile-based, can be used in normal and non-normal measurements, and is a general form of the conventional Cpm The new index is investigated by relying on the Weibull distribution, which holds significant importance in quality control and reliability studies. Point estimation for the index is discussed with parametric and non-parametric approaches. Moreover, several estimators based on methods such as Bayesian and bootstrap are suggested for interval estimation. A Monte Carlo simulation study is conducted to evaluate the performance of methodologies in both on-target and offtarget processes. In addition, numerical examples are provided to evaluate two real-world problems where the measurements follow both the Weibull and normal distributions. The usability of the index is particularly evident when evaluating the ball size data in the first real data analysis, where the classical Cpm index is not used.
