Recurrence Relations for Moments and Estimation of Parameters of Extended Exponential Distribution Based on Progressive Type-II Right-Censored Order Statistics

In this article we derive the recurrence relations for the single and product moments based on progressively Type-II right-censored order statistics for the extended exponential (EE) distribution. The estimation of the model parameters under progressively Type-II right-censored order statistics are...

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Bibliographic Details
Published inJournal of statistical theory and applications Vol. 18; no. 2; pp. 171 - 181
Main Authors Kumar, Devendra, Malik, Mansoor Rashid, Dey, Sanku, Shahbaz, Muhammad Qaiser
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.06.2019
Springer Nature B.V
Springer
Subjects
Extended exponential distribution
Monte Carlo simulation
Parameters
Probability distribution functions
Product moments
Progressive Type-II right-censored order statistics
Recurrence relations
Research Article
Single moments
Statistics
Progressive Type-II right-censored order statistics
Single moments
Product moments
Recurrence relations
Extended exponential distribution
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Summary:In this article we derive the recurrence relations for the single and product moments based on progressively Type-II right-censored order statistics for the extended exponential (EE) distribution. The estimation of the model parameters under progressively Type-II right-censored order statistics are obtained by maximum likelihood method. Furthermore, Monte Carlo simulation study has been carried out to compare the performances of the proposed method. Finally, a real data set has been analyed for illustrative purposes.
ISSN:1538-7887
2214-1766
1538-7887
DOI:10.2991/jsta.d.190514.003