Abstract
In this paper, we Örst introduse a new extension of the exponentiated exponential distribution along with its several mathematical properties. Second, we construct a modiÖed Chi-squared goodness-of-Öt test based on the Nikulin-Rao-Robson statistic in presence of censored and complete data. We describe the theory and the mechanism of the Y 2 n statistic test which can be used in survival and reliability data analysis. We use the maximum likelihood estimators based on the initial non grouped data sets. Then, we conduct numerical simulations to reinforce the results. For showing the applicability of our model in various Öelds, we illustrate it and the proposed test by applications to two real data sets for complete data case and two other right censored data sets.
Highlights
The most popular continuous distributions which used for modeling lifetime data are the gamma (G), the Weibull (W), lognormal (Log-N) and exponentiated exponential (EE) distributions
The proposed lifetime model is much better than the exponential exponential, Moment exponential, Log Butr Hatke exponential and the two parameter odd Lindley exponential models, so the new lifetime model is a good alternative to these models in modeling failure times data
We describe the theory and the mechanism of the Yn2 statistic test which can be used in survival and reliability data analysis
Summary
The most popular continuous distributions which used for modeling lifetime data are the gamma (G), the Weibull (W), lognormal (Log-N) and exponentiated exponential (EE) distributions. For more details about the OL-G family and its properties see Silva et al (2017) To this end, we use equations (1), (2) and (3) to obtain the three-parameter OLEE density (5 ), a R.V. X is said to have the OLEE distribution if its P.D.F. and C.D.F. are given by f (x) = θλ e−λx 1 − e−λx θ−1 2 1 − (1 − e−λx)θ 3 e ( ) −. Validation of the Odd Lindley Exponentiated Exponential by a Modified Goodness of Fit test and its Applications to Censored and Complete Data mous use of the E and EE lifetime models. We are motivated to introduce the OLEE lifetime model since it exhibits the monotonically increasing, bathtub, constant and the monotonically decreasing hazard rates (see Figure 2). For showing the applicability of our model in various fields, we illustrate it and the proposed test by applications to two real data sets for complete data case and two other right censored data sets
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
