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Bayes Estimator Parameters Exponential Distribution of Type I Sensor Data Using Linear Exponential Loss Function Method Based on Prior Jeffrey

Lifetime data analysis or survival analysis is a technique in statistics that can be used to test the durability and reliability of a component. The life time data obtained from the life test experiment is in the form of type I censored data if the life test data is generated after the experiment lasts for a predetermined time. This study aims to obtain a parameter estimator from the exponential distribution of type I censored data using the Linear Exponential Loss Function (LINEX) method. The prior distribution used in this study is a non-informative prior with the technique of determining it using the Jeffrey method. So that the research results were obtained in the form of a parameter estimator θ is Furthermore, applied to secondary data on the survival time of patients with chronic kidney failure at one of the Bojonegoro Hospitals was carried out in 2014. The data is divided into two, namely data on patients with initial causes of diabetic (data 1) and non-diabetic (data 2) diseases. Based on the estimation results for case studies of patients with chronic kidney failure, the value = 0.0102608 for patients with initial causes of diabetic disease and = 0.00712166 for patients with initial causes of non-diabetic disease. This shows that the possibility of patients with initial causes of diabetic disease to fail (die) is higher than patients with non-diabetic causes of disease.

Exponential Distribution, Prior Jeffrey, Bayesian Method, LINEX Loss Function

APA Style

Afriani, Ardi Kurniawan, Elly Ana. (2023). Bayes Estimator Parameters Exponential Distribution of Type I Sensor Data Using Linear Exponential Loss Function Method Based on Prior Jeffrey. International Journal of Statistical Distributions and Applications, 9(2), 62-67. https://doi.org/10.11648/j.ijsd.20230902.12

ACS Style

Afriani; Ardi Kurniawan; Elly Ana. Bayes Estimator Parameters Exponential Distribution of Type I Sensor Data Using Linear Exponential Loss Function Method Based on Prior Jeffrey. Int. J. Stat. Distrib. Appl. 2023, 9(2), 62-67. doi: 10.11648/j.ijsd.20230902.12

AMA Style

Afriani, Ardi Kurniawan, Elly Ana. Bayes Estimator Parameters Exponential Distribution of Type I Sensor Data Using Linear Exponential Loss Function Method Based on Prior Jeffrey. Int J Stat Distrib Appl. 2023;9(2):62-67. doi: 10.11648/j.ijsd.20230902.12

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This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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