Validation of the Odd Lindley Exponentiated Exponential by a ModiÖed Goodness of Fit Test with Applications to Censored and Complete Data

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 descri...

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Bibliographic Details
Published inPakistan journal of statistics and operation research Vol. 15; no. 3; p. 745
Main Authors Goual, Hafida, Yousof, Haitham M, Mir Masoom Ali
Format Journal Article
LanguageEnglish
Published Lahore University of the Punjab, College of Statistical & Actuarial Science 01.07.2019
Subjects
Computer simulation
Data analysis
Datasets
Economic models
Goodness of fit
Mathematical models
Maximum likelihood estimators
Probability distribution functions
Reliability analysis
Statistical tests
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Summary: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.
ISSN:1816-2711
2220-5810
DOI:10.18187/pjsor.v15i3.2675