MODELING AND COMPARISON OF MAXIMUM LIKELIHOOD AND MEDIAN RANK REGRESSION METHODS WITH FRÉCHET DIST
Journal Title: Proceedings on Engineering Sciences - Year 2020, Vol 2, Issue 2
Abstract
In reliability analysis researchers, commonly model failure times with the lifetime distributions. In this article, we have considered the Fréchet distribution as a lifetime model. Often risk managers must make decisions after only a few failures. Thus, an important question is how to estimate the parameters of Fréchet distribution for extremely small sample sizes and Type-I censored data. The life test data are almost always from Type-I censored tests because plan dictates the time at which the test will finish. The study compares the two methods of estimation maximum likelihood estimation and median rank regression by fitting Fréchet distribution parameters. Also, we have conducted a simulation study to empirically investigating the performance of the proposed methods and its properties. Moreover, the comparison of Maximum Likelihood and Median rank regression estimation methods are made by using Type-I censoring. Finally, the application of these methods is discussed by considering the real data for time to breakdown of an insulating fluid between electrodes at a voltage of 34kV. The reliability of insulating fluid is modelled through Fréchet distribution.
Authors and Affiliations
Maryam Firdos, Kamran Abbas, Shahab Ahmed Abbasi, Nosheen Yousaf Abbasi
Keywords
Related Articles
- EP ID EP682967
- DOI 10.24874/PES02.02.006
- Views 222
- Downloads 0
PRIORITIZATION OF E-WASTE MANAGEMENT STRATEGIES TOWARDS GREEN COMPUTING USING AHP-QFD APPROACH
Green computing is the emerging and growing global concern in the current era. Though the information and communication technology turned the earth into paradise, it has environmental impacts through the manufacturing, o...
INTENTION TO USE: STUDY ONLINE SHOPPING BASED ON ANDROID APPLICATIONS
This study aims to examine the relationship between variables in the model that explains the intention to use an application based android. This study confirms several variables which in previous studies are still a deba...
HOSPITAL FURNITURE: EXPECTATIONS OF PATIENTS TOWARD FURNITURE IN HEALTHCARE SETTING
Furniture plays an important role in healthcare setting. It creates a welcoming atmosphere to the patients and families as they enter the building. Furniture influences the feelings of the patients and visitors both nega...
STUDENT SATISFACTION EVALUATION TOWARDS BPS&K 1 JAKARTA SENIOR HIGH SCHOOL EDUCATION SERVICES USING IMPORTANCE PERFORMANCE ANALYSIS METHOD
This research aims to find out the gap between student's perception and expectation towards education services and improvement priority mapping based on identifying service quality factors which considered most important...
APPLICATION OF LEAN TOOLS CASE STUDY IN A TEXTILE COMPANY
In the Portuguese textile sector, the flexibilization of production activities has become imperative for the adequacy of the response to the progressive increasing complexity of orders for small and highly dispersed lots...