A new Lifetime Distribution Based on the Transmuted First Two Lower Records

Cumhuriyet Science Journal

article

Tenzile ERBAYRAM¹  Ümmügülsüm YILDIRIM¹  Yunus AKDOĞAN¹ 

[1] SELÇUK ÜNİVERSİTESİ

关键词: Lower record value;    Lifetime distribution;    Monte Carlo simulation;    Estimation.;   

DOI  :  10.17776/csj.1094289

学科分类：工程和技术（综合）

来源: Cumhuriyet University

【 摘 要 】

This article introduces a new lifetime distribution by merging the first two lower records based on exponential distribution and discusses the different features of the distribution. Statistical inferences about the distribution parameters are discussed with three estimation methods, namely maximum likelihood, least squares, and weighted least squares. Monte Carlo simulation study is performed to evaluate of these estimators based on mean square errors estimation, mean absolute deviation, and mean relative errors of estimation for a sample of different sizes. A distribution simulation analysis based on real data is provided to demonstrate the adaptability of the proposed model.

【 授权许可】

CC BY-NC-ND