Indian Journal of Science and Technology

Abstract

Background/Objectives: In this research, the comparative problems of a reliability model about Lomax and Gomperz distribution property were proposed. The maximum likelihood estimation and bisection method were used to the parameter estimation. Methods/Statistical Analysis: As special occasions, the model selection based on the Mean Square Error and coefficient of determination for the efficient model was conducted. Analysis of a failure time using real data set from the proposing reliability model (based on Lomax and Gomperz distribution) was worked. To obtain for the data reliability, the Laplace trend test was employed. Findings: In this study, the proposed Lomax than Gomperz distribution model is more efficient model in this area. The case of the higher shaping parameter of the Lomax distribution model is judged more reliable model in this field. Thus, Lomax distribution model can also be applied as a special model. Improvements: The software testing for the debugging to reduce cost in terms of the reliability from software is essential problem. From a research, the software developers must be considered for the growth model by the prior knowledge of the software to identify failure modes which can be able to help.

Keywords: Gomperz Distribution, Laplace Trend Test, Lomax Distribution, Mission Time, NHPP