Malaysian Journal of Mathematical Sciences, September 2017, Vol. 11, No. 3
Exact Confidence Interval for the Generalized Inverted Exponential Distribution with Progressively Censored Data
Panahi, H.
Corresponding Email: panahi@liau.ac.ir
Received date: 22 May 2016
Accepted date: 16 September 2017
Abstract:
In this article, the estimation of parameters for a generalized inverted exponential (GIE) distribution based on progressively Type-II censored
sample is studied. The maximum likelihood estimators (MLEs) are developed for estimating the unknown parameters. An exact confidence
interval and exact joint confidence region are constructed. Monte Carlo simulations are then performed for comparing the confidence intervals based on complete and censored samples. Furthermore, because of the great importance of prediction in engineering data, conditional median predictor method is considered to obtain the point prediction of future observation based on progressively Type-II censored sample. Finally, a real data set is used to illustrative purposes.
Keywords: Exact Confidence Interval, Generalized Inverted Exponential, Joint Confidence Region, Maximum Likelihood Estimates, Progressively Type II Censoring
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